MHD MICROPOLAR FLUID FLOW THROUGH VERTICAL POROUS MEDIUM
|
|
- Rosa Wilkerson
- 5 years ago
- Views:
Transcription
1 ISSN: Volume, Issue 3, November MHD MICROPOLAR FLID FLOW THROGH VERTICAL POROS MEDIM Ariful Islam Assistant Professor Mathematics Discipline, Khulna niversity BANGLADESH Md. Haider Ali Biswas Associate Professor Mathematics Discipline, Khulna niversity BANGLADESH Md. Rizaul Islam Mathematics Discipline, Khulna niversity BANGLADESH S.M Mohiuddin Mathematics Discipline, Khulna niversity BANGLADESH ABSTRACT The numerical studies are performed to examine the MHD micro-polar fluid flow through a vertical porous plate. Finite difference technique is used as a tool for the numerical approach. The micro-polar fluid behavior on two- dimensional unsteady flow has been considered and its nonsimilar solution have been obtained. Non-similar equations of the corresponding momentum, angular momentum and continuity equations are derived under MHD effect by employing the usual transformation. The dimensionless non-similar equations for momentum, angular momentum and continuity equations are solved numerically by finite difference technique. The effects on the velocity, micro rotation, the spin gradient viscosity, and vortex viscosity of the various important parameters entering into the problem separately are discussed with the help of graphs. Keywords: MHD, Micropolar Fluid, Porous Medium. INTRODCTION Because of the increasing importance of materials flow in industrial processing and elsewhere and the fact shear behavior cannot be characterized by Newtonian relationships, a new stage in the evaluation of fluid dynamic theory is in the progress. Eringen(966) proposed a theory of molecular fluids taking into account the internal characteristics of the subtractive particles, which are allowed to undergo rotation. Physically, the micropolar fluid can consist of a suspension of small, rigid cylindrical elements such as large dumbbell-shaped molecules. The theory of micropolar fluids is generating a very much increased interest and many classical flows are being re-examined to determine the effects of the fluid microstructure. The concept of micropolar fluid deals with a class of fluids which exhibit certain microscopic effects arising from the local structure and micromotions of the fluids elements. These fluid contain dilute suspension of rigid macromolecules with individual motions that support stress and body moments and are influenced by spin inertia. Micropolar fluids are those which contain micro-constituents that can undergo rotation, the presence of which can effect the hydrodynamics of the flow so that it can be distinctly non-newtonian. It has many practical applications, for example analyzing the behavior of exotic lubricants, the flow of colloidal suspensions, polymetric fluids, liquid crystals, additive suspensions, human and animal blood, turbulent shear flow and so forth. Peddision and McNitt(97) derived boundary layer theory for micropolar fluid which is important in a number of technical process and applied this equations to the problems of steady stagnation point flow, steady flow past a semi-infinite flat plate. Eringen (97) developed the theory of thermo micropolar fluids by extending the theory of micropolar fluids. The above mentioned work they have extended the work of El-Arabawy (3) to a MHD flow taking into account the effect of free convection and micro rotation inertia term which has been neglected by El-Arabawy (3). However, most of the previous works assume that the plate is at rest. Copyright SAVAP International 38
2 ISSN: Volume, Issue 3, November Quite recently, a numerical study of steady combined heat and mass transfer by mixed convection flow past a continuously moving infinite vertical porous plate under the action of strong magnetic field with constant suction velocity, constant heat and mass fluxes have been investigated by Alam et. al.(8). For unsteady two dimensional case, the above problem becomes more complicated. These type of problems play a special role in nature, in many separation processes as isotope separation, in mixtures between gases, in many industrial applications as solidification of binary alloy as well as in astrophysical and geophysical engineering. THE BASIC GOVERNING EQATION Consider the unsteady flow of an electrically conducting fluid past an vertical porous plate coinciding with the plane y = such as the x-axis is along the plate and the y-axis normal to it. An uniform magnetic field is applied in the direction of y-axis and the plate taken as a electrically nonconducting. Taking z-axis normal to xy-plane and assuming that the velocity q and the magnetic field B have the components (u, v, w) and ( B x, By, Bz ) respectively. The equation of continuity in vector form: + ( q ) = () t Equation of continuity in vector form for incompressible fluid: q = () In three-dimensional Cartesian coordinate system: The equation of continuity v w + + x z The equations of momentum = P χ u u u χ + u + v + w = Fx t x z x x z σ + {( wbxbz ubz ) ( uby vbxby )} u (4) K v v v v P χ v v v χ + u + v + w = Fy t x z x z x + σ {( ubxby vbx ) ( vbz wbybz )} v K (5) w w w w P χ w w w + u + v + w = Fz t x z z x z + σ {( vbybz wby ) ( wbx ubxbz )} w K (6) The equation of angular momentum is χ v γ χ + u + v + w = (7) t x z j x j x z j Thus in three-dimensional Cartesian coordinate system in the absence of external forces the continuity equation, the momentum equations and the angular momentum equation becomes The Continuity equation (3) Copyright SAVAP International 38
3 The Momentum equations v w + + = x z ISSN: Volume, Issue 3, November (8) σ + {( wb B ub ) ( ub vb B )} u x z z y x y K (9) χ u u u χ + u + v + w = t x y z x y z y v v v v χ v v v χ + u + v + w = t x z x z x σ + {( ub B vb ) ( vb wb B )} v () x y x z y z K w w w w χ w w w + u + v + w = t x z x z σ + {( vb B wb ) ( wb ub B )} w () y z y x x z K The Angular momentum equation χ v γ χ + u + v + w = t x z j x j x z j Since the plate occupying the plane y = is of infinite extent and the fluid motion is steady, all physical equations will depend only upon x and y. Consider B = (, B,) where B is the uniform magnetic field acting normal to the plate. The boundary conditions for the problem are as follows: t =, u =, v =, = at everywhere u =, v =, = at x = t >, u =, v =, = at y = u =, v =, = at y () Figure. Boundary layer development on a vertical plate Copyright SAVAP International 383
4 ISSN: Volume, Issue 3, November Thus mathematically the problem reduces to a two dimensional problem. Then the equations are v + = x (3) χ χ σ ub + u + v = u u u t x x K (4) v v v χ v v χ + u + v = + + v t x x x K (5) χ v γ χ + u + v = + + t x j x j x j (6) The viscosity of the fluid and the small thickness of the boundary layer δ are considered to be small. Let ε << be the order of magnitude of δ, i.e. O( δ ) = ε <<. Let the order of magnitude of u, x and are one, i.e. O( u ) =, O( x ) =, O( ) =. The order of magnitude of v and y are considered to be ε i.e., O( v) = ε, O( y) = ε and O( t ) =. Hence O =, O =, O =, t x y ε u O =, x u O y = ε v O = ε, t v O = ε, x v O y =, v =, O ε x v O y = O =, O =, O =, O, t x y ε x = O = y ε χ O + = ε, ε χ O =, ( ) = K O, γ O( ) j ε χ j =, O( ) within the boundary layer, so neglecting the small order terms, we have the following equations, v + = x χ χ σ ub + u + v = + + u u t x K γ χ + u + v = t x j j With the boundary conditions t =, u =, v =, = at everywhere = ε (7) (8) (9) where u =, v =, = at x = t >, u =, v =, = at y = u =, v =, = at y u, v are the velocity components in the x, y direction respectively, is the kinematics viscosity, is the density. Also, K is the permeability of the porous medium, is the micro Copyright SAVAP International 384
5 ISSN: Volume, Issue 3, November rotation component, χ is the vortex viscosity, γ is the spin gradient viscosity, j is the micro inertia per unit mass and other symbols have their usual meaning. Since the solutions of the above governing equations under the initial conditions will be based on the finite difference method it is required to make the said equations dimensionless. For this purpose we now introduce the following dimensionless quantities: x X o y =, = o, u =, o v t V =, τ = o, sing these relations we have the following derivatives 3 o =, t τ ' o =, = x X o =, o =, x X ' o, o 3 ' o = 3 u o =, ' = () v = o V, 3 ' o =, t τ In terms of the above dimensionless variables the nonlinear coupled partial differential equations are as follows V + = () X where = ' ' + + V = ( + ) K M τ X X X ' ' ' ' + + V = Λ λ τ X X K = (Permeability of porous medium); k χ (Micro rotation parameter); σ B M = (Magnetic parameter) ; χ λ = j o γ = j (Vortex viscosity parameter) and Λ (Spin gradient viscosity parameter). With the boundary conditions ' τ =, =, V =, =, every where =, V =, = at X = τ >, =, V =, = at = =, V =, = at () (3) Copyright SAVAP International 385
6 ISSN: Volume, Issue 3, November NMERICAL SOLTIONS In this section, we attempt to solve the governing second order nonlinear coupled dimensionless partial differential equations with the associated initial and boundary conditions. For solving a transient free convection flow with mass transfer past a semi-infinite plate, Callahan and Marner(976) used the explicit finite difference method which is conditionally stable. On the contrary, the same problem was studied by Soundalgekar and Ganesan(98) by an implicit finite difference method which is unconditionally stable. The only difference method between the two methods is that the implicit method being unconditionally stable is less expansive from the point of view of computer time. However, these two methods respectively employed by Callahan and Marner(976) and Soundalgekar and Ganesan(98) produced the same results. From the concept of the above discussion, for simplicity the explicit finite difference method has been used to solve equations ()-(3) subject to its boundary conditions. To obtain the difference equations the region of the flow is divided into a grid or mesh of lines parallel to X and axis is taken along the plate and X-axis is normal to the plate. Here we consider that the X = as corresponding to plate of height ( ) max = i.e. X varies from to and regard ( ) max 5 i.e. varies from to 5. There are m = 5 and n = 5 grid spacing in the X and directions respectively as shown in figure. i = m X i + ( i +, j ) ( i +, j) ( i +, j + ) i + i ( i, j ) ( i, j ) ( i, j + ) τ X ( i, j ) ( i, j) ( i, j + ) i i i = j = j j j j + j + j = n Figure. Finite difference space grid. Copyright SAVAP International 386
7 ISSN: Volume, Issue 3, November It is assumed that X, are constant mesh sizes along X and directions respectively and taken =.8( x ), X =.( y 5) with the smaller time-step, =. 5 τ. Now and denote the values of and at the end of a time-step respectively. sing the explicit finite difference approximation. we have V V i, j i, j V i, j i, j i, j + i, j = ; =, = ; X i, j X i, j i, j ' +,,, i, j i j + i j i j i, j ; ; = = i, j ( ) τ i, j τ ' ' ' ' ' ' ' ' ' ' ' + i, j i, j i, j + i, j i, j + i, j i, j = ; = ; = x i, j X i, j i, j ( ) From the system of PDE with substituting the above relations into the corresponding differential equation we obtain an appropriate set of finite difference equation. Continuity equation V V i, j i, j i, j i, j + = X Momentum equation (4) + i, j i, j i, j i, j i, j i, j i, j + i, j i, j + + V = ( + ) + τ i, j X i, j ( ) ' ' i, j + i, j K M i, j i, j (5) Angular momentum equation ' ' ' ' ' i, j i, j i, j i, j i, j + i, j i, j + i, j i, j i, j + i, j + + V = Λ λ i, j X i, j ' ' ' + τ ( ) the initial and boundary conditions with the finite difference scheme are =, =, = i, j V i, j i, j =, =, = n n n, j V, j, j =, =, = n n n i, V i, i, =, =, = n n n i, L V i, L i, L where L. Here the subscripts i and j designate the grid points with x and y coordinates respectively. During any one time-step, the coefficients i, j and V i, j appearing in equations (4)-(6) are treated as constants. Then the end of anytime step τ, the new velocity and V,at all interior nodal points nay be obtained by successive applications of equations (4) and (5) respectively. This process is repeated in time and provided the time-step is sufficiently small, and V should eventually converge to values which approximate the steady state solution of equations ()-(3). (6) Copyright SAVAP International 387
8 ISSN: Volume, Issue 3, November =. =. = =. =. = Figure 3. Velocity Profile for different values of Microrotation parameter ( ) at time =. Figure 4. Velocity Profile for different values of Microrotation parameter ( ) at time = =. =. = =. =. = Figure 5. Velocity Profile for different values of Microrotation parameter ( ) at time = Figure 6. Velocity Profile for different values of Microrotation parameter ( ) at time =4. Copyright SAVAP International 388
9 ISSN: Volume, Issue 3, November =. =. = =. =. = Figure 7. Velocity Profile for different values of Microrotation parameter ( ) at time = Figure 8. Velocity Profile for different values of Microrotation parameter ( ) at time = =. =. = =. =. = Figure 9. Velocity Profile for different values of Microrotation parameter ( ) at time = Figure. Velocity Profile for different values of Microrotation parameter ( ) at time =8. Copyright SAVAP International 389
10 ISSN: Volume, Issue 3, November.9.8 =. =. = =. =. = Figure. Angular Velocity Profile for different values of Microrotation parameter ( ) at time =. Figure. Angular Velocity Profile for different values of Microrotation parameter ( ) at time =..9.8 =. =. = =. =. = Figure 3. Angular Velocity Profile for different values of Microrotation parameter ( ) at time = Figure 4. Angular Velocity Profile for different values of Microrotation parameter ( ) at time =4. Copyright SAVAP International 39
11 ISSN: Volume, Issue 3, November.9.8 =. =. = =. =. = Figure 5. Angular Velocity Profile for different values of Microrotation parameter ( ) at time = Figure 6. Angular Velocity Profile for different values of Microrotation parameter ( ) at time = =. =. = =. =. = Figure 7. Angular Velocity Profile for different values of Microrotation parameter ( ) at time = Figure 8. Angular Velocity Profile for different values of Microrotation parameter ( ) at time =8. Copyright SAVAP International 39
12 ISSN: Volume, Issue 3, November RESLTS AND DISCSSION In this study, the effects of MHD unsteady micro-polar fluid behavior through vertical porous plate have been investigated using the finite difference technique. To study the physical situation of this problem, we have computed the numerical values by finite difference technique of velocity and angular velocity at the plate. It can be seen that the solutions are affected by the parameters namely, Micro-rotation parameter ( ), Spin gradient viscosity parameter ( ) and the vortex viscosity parameter (λ). The main goal of the computation is to obtain the steady state solutions for the nondimensional velocity and micro-rotation for different values of Micro-rotation parameter ( ). For this computations the results have been calculated and presented graphically by dimensionless time τ = up toτ = 8. The results of the computations show little changes for τ = to τ = 6. But while arising at τ = 7 and 8 the results remain approximately same. Thus the solution for τ = 8 are become steady-state. Moreover, the steady state solutions for transient values of and are shown in figures (3-8), for time τ =,, 3, 4, 5, 6, 7, 8 respectively. Figures (3-) show the velocity profile for different values of Micro-rotation parameter =.,.,.3 at time τ =,,3, 4,5, 6, 7,8 respectively. From this figures it is observed that the velocity profile decreases with the increase of Micro-rotation parameter ( ) and the velocity profiles are going downward direction. While arising at τ = 7 and 8 the solutions become steadystate. Other important effects of micro-rotations are shown in figures (-8) for different values of Microrotation parameter ( ) at time τ =,,3, 4,5, 6, 7,8 respectively. It is seen from this figures that the micro-rotation decreases with the increase of micro-rotation parameter ( ) and is going to the downward direction from the vertical wall with the increase of time. While arising at τ = 7 and 8 the results remain approximately same. ACKNOWLEDGEMENT We are grateful to the authors of the references who have helped us indirectly through their immortal books and journals. The logistic supports of Mathematics Discipline of Khulna niversity, Bangladesh are greatly acknowledged. Our profound debts to our father and mother are also unlimited. REFERENCES Alam et al.,(8). Micro-polar fluid behavior on MHD heat transfer flow through a porous medium with induced magnetic field by finite difference method, Thomas Int. J. of Science and Technology, v.4, p.3. Callahan, G.D. & Marner W.J. (976). Transient free convection with mass transfer on isothermal vertical flat plate, International Journal of Heat Mass Transfer, v.9, p Eringen, A.C. (966). Theory of micro-polar fluids, Journal of Mathematics and Mechanics, v.6, p.- 8. Gokhale, M.. (99). Magnetohydrodynamic transient free convection past a semiplate with constant heat flux, Canadian Journal of Physics v.69, p infinite vertical Gribben, R.J. (965). The hydromagnetic boundary layer in the presence of pressure gradient, Proceedings of Royal Society. London A v.87, p.3-4. Muthucumaraswamy, R. & Ganesan, P. (999). Flow past an impulsively started vertical plate with variable temperature and mass flux, Heat and Mass transfer, v. 34,pp Ostrach, S. (953). An analysis of laminar free convection flow and heat transfer along a flat plate parallel to the direction of the generating body force, NACA Report TR-,p Copyright SAVAP International 39
13 ISSN: Volume, Issue 3, November Peddiesen, J. & McNitt, R.P. (97). Boundary layer theory for a micro-polar fluid, Recent Advanced Engineering and Science, v.5, p.45. Pohlhausen, E. (9). Warmeaustrausch zwischen festen korpenund Flussigkeiten mit Kleiner Reibung under Kleiner Warmeleitung, Zeitschrift fur Angewandte Mathematik und Mechanik, v., p.5-. Raptis, A. (983). nsteady free convection flow through a porous medium, International Journal of Engineering Science, v.,p Raptis, A. et al. (98). Hydromagnetic free convection flow through a porous medium between two parallel plates, Physics Letters 9A, p Soundalgekar, V.M. & Ganesan, P. (98). Finite Difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate, International Journal of Engineering Science, v.9, p Takhar, H.S. et al. (997). Transient free convection past a semi-infinite vertical plate with variable surface temperature, International Journal of Numerical Methods in Heat Fluid Flow, v.7, p Copyright SAVAP International 393
Finite Difference Solution of Unsteady Free Convection Heat and Mass Transfer Flow past a Vertical Plate
Daffodil International University Institutional Repository DIU Journal of Science and Technology Volume 1, Issue 1, January 17 17-1 Finite Difference Solution of Unsteady Free Convection Heat and Mass
More informationParash Moni Thakur. Gopal Ch. Hazarika
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 2, Issue 6, June 2014, PP 554-566 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) www.arcjournals.org Effects of
More informationFinite difference solution of the mixed convection flow of MHD micropolar fluid past a moving surface with radiation effect
Finite difference solution of the mixed convection flo of MHD micropolar fluid past a moving surface ith radiation effect LOKENDRA KUMAR, G. SWAPNA, BANI SINGH Department of Mathematics Jaypee Institute
More informationMHD Free Convection and Mass Transfer Flow with Heat Generation through an Inclined Plate
Annals of Pure and Applied Mathematics Vol. 3, No., 13, 19-141 ISSN: 79-87X (P), 79-888(online) Published on 1August 13 www.researchmathsci.org Annals of MHD Free Convection and Mass Transfer Flow with
More informationTransient free convective flow of a micropolar fluid between two vertical walls
Available online at http://ijim.srbiau.ac.ir/ Int. J. Industrial Mathematics (ISSN 2008-5621) Vol. 5, No. 2, 2013 Article ID IJIM-00311, 9 pages Research Article Transient free convective flow of a micropolar
More informationCHAPTER 2 THERMAL EFFECTS IN STOKES SECOND PROBLEM FOR UNSTEADY MICROPOLAR FLUID FLOW THROUGH A POROUS
CHAPTER THERMAL EFFECTS IN STOKES SECOND PROBLEM FOR UNSTEADY MICROPOLAR FLUID FLOW THROUGH A POROUS MEDIUM. Introduction The theory of micropolar fluids introduced by Eringen [34,35], deals with a class
More informationG. C. Hazarika 2 Department of Mathematics Dibrugarh University, Dibrugarh
Effects of Variable Viscosity and Thermal Conductivity on Heat and Mass Transfer Flow of Micropolar Fluid along a Vertical Plate in Presence of Magnetic Field Parash Moni Thakur 1 Department of Mathematics
More informationFree convection on an inclined plate with variable viscosity and thermal diffusivity
Free convection on an inclined plate with variable viscosity and thermal diffusivity G. Palani 1, J.D. Kirubavathi 1, and Kwang Yong Kim 2 1 Dr. Ambedkar Govt. Arts College, Chennai, Tamil Nadu, India
More informationFlow of a micropolar fluid in channel with heat and mass transfer
Flow of a micropolar fluid in channel with heat and mass transfer PRECIOUS SIBANDA and FAIZ GA AWAD University of KwaZulu-Natal School of Mathematical Sciences Private Bag X, Scottsville Pietermaritzburg
More informationUnsteady Magnetopolar free Convection flow embedded in a Porous Medium with Radiation and variable Suction in a Slip flow Regime
International Journal of Mathematics and Statistics Invention (IJMSI) E-ISSN: 2321 4767 P-ISSN: 2321-4759 Volume 1 Issue 1 ǁ Aug. 2013ǁ PP-01-11 Unsteady Magnetopolar free Convection flow embedded in a
More informationCOMBINED EFFECTS OF RADIATION AND JOULE HEATING WITH VISCOUS DISSIPATION ON MAGNETOHYDRODYNAMIC FREE CONVECTION FLOW AROUND A SPHERE
Suranaree J. Sci. Technol. Vol. 20 No. 4; October - December 2013 257 COMBINED EFFECTS OF RADIATION AND JOULE HEATING WITH VISCOUS DISSIPATION ON MAGNETOHYDRODYNAMIC FREE CONVECTION FLOW AROUND A SPHERE
More informationLaplace Technique on Magnetohydrodynamic Radiating and Chemically Reacting Fluid over an Infinite Vertical Surface
International Journal of Engineering and Technology Volume 2 No. 4, April, 2012 Laplace Technique on Magnetohydrodynamic Radiating and Chemically Reacting Fluid over an Infinite Vertical Surface 1 Sahin
More informationMHD Boundary Layer Stagnation Point Flow and Heat Generation/ Absorption of a Micropolar Fluid with Uniform Suction / Injection
Ultra Scientist Vol. 25(1)A, 27-36 (2013). MHD Boundary Layer Stagnation Point Flow and Heat Generation/ Absorption of a Micropolar Fluid with Uniform Suction / Injection R.N. JAT and VISHAL SAXENA (Acceptance
More informationInfluence of chemical reaction and thermal radiation effects on MHD boundary layer flow over a moving vertical porous plate
International Research Journal of Engineering and Technology (IRJET) e-issn: 2395-56 Volume: 2 Issue: 7 Oct-25 www.irjet.net p-issn: 2395-72 Influence of chemical reaction and thermal radiation effects
More informationUnsteady Laminar Free Convection from a Vertical Cone with Uniform Surface Heat Flux
Nonlinear Analysis: Modelling and Control, 2008, Vol. 13, No. 1, 47 60 Unsteady Laminar Free Convection from a Vertical Cone with Uniform Surface Heat Flux Bapuji Pullepu 1, K. Ekambavanan 1, A. J. Chamkha
More informationEffect of Radiation on Dusty Viscous Fluid through Porous Medium overa Moving Infinite Vertical Plate with Heat Source
International Archive of Applied Sciences and Technology Int. Arch. App. Sci. Technol; Vol 4 [4]Decemebr 3: - 3 Society of Education, India [ISO9: 8 Certified Organization] www.soeagra.com/iaast.html CODEN:
More informationMICROPOLAR NANOFLUID FLOW OVER A MHD RADIATIVE STRETCHING SURFACE WITH THERMAL CONDUCTIVITY AND HEAT SOURCE/SINK
International Journal of Mathematics and Computer Applications Research (IJMCAR) ISSN(P): 2249-6955; ISSN(E): 2249-8060 Vol. 7, Issue 1, Feb 2017, 23-34 TJPRC Pvt. Ltd. MICROPOLAR NANOFLUID FLOW OVER A
More informationA new approach for local similarity solutions of an unsteady hydromagnetic free convective heat transfer flow along a permeable flat surface
International Journal of Advances in Applied Mathematics and Mechanics Volume, Issue : (3) pp. 39-5 Available online at www.ijaamm.com IJAAMM ISSN: 347-59 A new approach for local similarity solutions
More informationChemical reaction Soret and Dufour Effect on Micropolar Fluid
Chemical reaction Soret and Dufour Effect on Micropolar Fluid Rama Udai Kumar 1 and Sucharitha Joga Department of Mathematics, Osmania University, Hyderabad 5 7 Abstract. This work analyzes chemical reaction,
More informationJoule Heating Effect on the Coupling of Conduction with Magnetohydrodynamic Free Convection Flow from a Vertical Flat Plate
Nonlinear Analysis: Modelling and Control, 27, Vol. 12, No. 3, 37 316 Joule Heating Effect on the Coupling of Conduction with Magnetohydrodynamic Free Convection Flow from a Vertical Flat Plate M. A. Alim
More informationCorresponding Author: Kandie K.Joseph. DOI: / Page
IOSR Journal of Mathematics (IOSR-JM) e-issn: 2278-5728, p-issn: 2319-765X. Volume 13, Issue 5 Ver. 1 (Sep. - Oct. 2017), PP 37-47 www.iosrjournals.org Solution of the Non-Linear Third Order Partial Differential
More informationKabita Nath Department of Mathematics Dibrugarh University Dibrugarh, Assam, India
Influence of Chemical Reaction, Heat Source, Soret and Dufour Effects on Separation of a Binary Fluid Mixture in MHD Natural Convection Flow in Porous Media B.R.Sharma Department of Mathematics Dibrugarh
More information*Corresponding Author: Surajit Dutta, Department of Mathematics, C N B College, Bokakhat, Golaghat, Assam, India
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 6, Issue, 8, PP -6 ISSN 347-37X (Print) & ISSN 347-34 (Online) DOI: http://dx.doi.org/.43/347-34.6 www.arcjournals.org
More informationNumerical Study on Unsteady Free Convection and Mass Transfer Flow past a Vertical Porous Plate
Numerical Study on Unsteady Free Convection and Mass Transfer Flow past a Vertical Porous Plate S. F. Ahmmed Mathematics Discipline Khulna University, Bangladesh.. R. Ahmed Mathematics Discipline Khulna
More informationNonlinear Analysis: Modelling and Control, 2008, Vol. 13, No. 4,
Nonlinear Analysis: Modelling and Control, 2008, Vol. 13, No. 4, 513 524 Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate
More informationMHD Flow of Micropolar Fluid due to a Curved Stretching Sheet with Thermal Radiation
Journal of Applied Fluid Mechanics, Vol. 9, No. 1, pp. 131-138, 2016. Available online at www.jafmonline.net, ISSN 1735-3572, EISSN 1735-3645. MHD Flow of Micropolar Fluid due to a Curved Stretching Sheet
More informationHydromagnetic Flow Near a Stagnation Point on a Stretching Sheet with Variable Thermal Conductivity and Heat Source/Sink
International Journal of Applied Science and Engineering 2013. 11, 3: 331-341 Hydromagnetic Flow Near a Stagnation Point on a Stretching Sheet with Variable Thermal Conductivity and Heat Source/Sink J.
More informationSteady MHD Natural Convection Flow with Variable Electrical Conductivity and Heat Generation along an Isothermal Vertical Plate
Tamkang Journal of Science and Engineering, Vol. 13, No. 3, pp. 235242 (2010) 235 Steady MHD Natural Convection Flow with Variable Electrical Conductivity and Heat Generation along an Isothermal Vertical
More informationNumerical Solutions of Unsteady Laminar Free Convection from a Vertical Cone with Non-Uniform Surface Heat Flux
Journal of Applied Fluid Mechanics, Vol. 6, No. 3, pp. 357-367, 213. Available online at www.jafmonline.net, ISSN 1735-3572, EISSN 1735-3645. Numerical Solutions of Unsteady aminar Free Convection from
More informationSoret and Dufour Effects on Mixed Convection in a Non-Darcy Micropolar Fluid. 1 Introduction
ISSN 1749-3889 (print), 1749-3897 (online) International Journal of Nonlinear Science Vol.11(2011) No.2,pp.246-255 Soret and Dufour Effects on Mixed Convection in a Non-Darcy Micropolar Fluid D.Srinivasacharya,
More informationFlow of Micropolar Fluids over a Stretchable Disk
World Applied Sciences Journal 25 (4): 600-606, 2013 ISSN 1818-4952 IDOSI Publications, 2013 DOI: 10.5829/idosi.wasj.2013.25.04.1302 Flow of Micropolar Fluids over a Stretchable Disk 1 2 Sajjad Hussain
More informationHeat source/sink and thermal conductivity effects on micropolar nanofluid flow over a MHD radiative stretching surface
Heat source/sink and thermal conductivity effects on micropolar nanofluid flow over a MHD radiative stretching surface Srinivas Maripala 1 and Kishan Naikoti 2 1Department of mathematics, Sreenidhi Institute
More informationMHD FLOW PAST AN IMPULSIVELY STARTED INFINITE VERTICAL PLATE IN PRESENCE OF THERMAL RADIATION
FLUID DYNAMICS MHD FLOW PAST AN IMPULSIVELY STARTED INFINITE VERTICAL PLATE IN PRESENCE OF THERMAL RADIATION M. K. MAZUMDAR, R. K. DEKA Department of Mathematics, Gauhati University Guwahat-781 014, Assam,
More informationMHD radiative stretching surface of micropolar nanofluid flow with chemical reaction and heat source/sink
Global Journal of Pure and Applied Mathematics. ISSN 973-768 Volume 3, Number 9 (27), pp. 69-628 Research India Publications http://www.ripublication.com MHD radiative stretching surface of micropolar
More informationProblem 4.3. Problem 4.4
Problem 4.3 Problem 4.4 Problem 4.5 Problem 4.6 Problem 4.7 This is forced convection flow over a streamlined body. Viscous (velocity) boundary layer approximations can be made if the Reynolds number Re
More informationFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUX
American Journal of Applied Sciences 11 (9): 148-1485, 14 ISSN: 1546-939 14 P. Geetha et al., This open access article is distributed under a Creative Commons Attribution (CC-BY) 3. license doi:1.3844/ajassp.14.148.1485
More informationStudy on MHD Free Convection Heat and Mass Transfer Flow past a Vertical Plate in the Presence of Hall Current
American Journal of Engineering Research (AJER) Research Paper American Journal of Engineering Research (AJER) e-issn : 3-87 p-issn : 3-93 Volume-3 Issue- pp-7- www.ajer.org Open Access Study on MHD Free
More informationNumerical Solution of Mass Transfer Effects on Unsteady Flow Past an Accelerated Vertical Porous Plate with Suction
BULLETIN of the Malaysian Mathematical Sciences Society http://math.usm.my/bulletin Bull. Malays. Math. Sci. Soc. (2) 29(1) (2006), 33 42 Numerical Solution of Mass Transfer Effects on Unsteady Flow Past
More informationNUMERICAL SOLUTION OF MHD FLOW OVER A MOVING VERTICAL POROUS PLATE WITH HEAT AND MASS TRANSFER
Int. J. Chem. Sci.: 1(4), 14, 1487-1499 ISSN 97-768X www.sadgurupublications.com NUMERICAL SOLUTION OF MHD FLOW OVER A MOVING VERTICAL POROUS PLATE WITH HEAT AND MASS TRANSFER R. LAKSHMI a, K. JAYARAMI
More informationDepartment of Mathematics, The University of Burdwan, Burdwan , West Bengal, India
Journal of Bangladesh Academy of Sciences, Vol. 35, No. 1, 43-50, 011 APPLICATION OF SCALING GROUP OF TRANSFORMATIONS TO STEADY BOUNDARY LAYER FLOW OF NEWTONIAN FLUID OVER A STRETCHING SHEET IN PRESENCE
More informationMHD effects on micropolar nanofluid flow over a radiative stretching surface with thermal conductivity
Available online at wwwpelagiaresearchlibrarycom Advances in Applied Science Research, 26, 7(3):73-82 ISSN: 976-86 CODEN (USA): AASRFC MHD effects on micropolar nanofluid flow over a radiative stretching
More informationHeat and Mass Transfer Effects on MHD Flow. of Viscous Fluid through Non-Homogeneous Porous. Medium in Presence of Temperature. Dependent Heat Source
Int. J. Contemp. Math. Sciences, Vol. 7,, no. 3, 597-64 Heat and Mass Transfer Effects on MHD Flow of Viscous Fluid through Non-Homogeneous Porous Medium in Presence of Temperature Dependent Heat Source
More informationState Space Solution to the Unsteady Slip Flow of a Micropolar Fluid between Parallel Plates
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 2, Issue 10, October 2014, PP 827-836 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) www.arcjournals.org State
More informationEffects of Viscous Dissipation on Unsteady Free Convection in a Fluid past a Vertical Plate Immersed in a Porous Medium
Transport in Porous Media (2006) 64: 1 14 Springer 2006 DOI 10.1007/s11242-005-1126-6 Effects of Viscous Dissipation on Unsteady Free Convection in a Fluid past a Vertical Plate Immersed in a Porous Medium
More informationInfluence of chemical reaction, Soret and Dufour effects on heat and mass transfer of a binary fluid mixture in porous medium over a rotating disk
IOSR Journal of Mathematics (IOSR-JM) e-issn: 2278-5728, p-issn: 2319-765X. Volume 10, Issue 6 Ver. III (Nov - Dec. 2014), PP 73-78 Influence of chemical reaction, Soret and Dufour effects on heat and
More informationMHD free convection heat and mass transfer flow over a vertical porous plate in a rotating system with hall current, heat source and suction
Int. J. Adv. Appl. Math. and Mech. 5(4) (2018) 49 64 (ISSN: 2347-2529) IJAAMM Journal homepage: www.ijaamm.com International Journal of Advances in Applied Mathematics and Mechanics MHD free convection
More informationVariable Viscosity Effect on Heat Transfer over a. Continuous Moving Surface with Variable Internal. Heat Generation in Micropolar Fluids
Applied Mathematical Sciences, Vol. 6, 2012, no. 128, 6365-6379 Variable Viscosity Effect on Heat Transfer over a Continuous Moving Surface ith Variable Internal Heat Generation in Micropolar Fluids M.
More informationTransient Approach to Radiative Heat Transfer Free Convection Flow with Ramped Wall Temperature
Jornal of Applied Flid Mechanics, Vol. 5, No., pp. 9-1, 1. Available online at www.jafmonline.net, ISSN 175-57, EISSN 175-645. Transient Approach to Radiative Heat Transfer Free Convection Flow with Ramped
More informationAn Exact Solution of MHD Boundary Layer Flow over a Moving Vertical Cylinder
Adv. Studies Theor. Phys., Vol. 5, 2011, no. 7, 337-342 An Exact Solution of MHD Boundary Layer Flow over a Moving Vertical Cylinder Alvaro H. Salas Universidad de Caldas, Manizales, Colombia Universidad
More informationAmerican Academic & Scholarly Research Journal Special Issue - January 2012
Proceeding of 2 nd International Conference on Mathematics and Information Sciences, 9-13 Nov. 2011, Sohag, Egypt American Academic & Scholarly Research Journal Special Issue - January 2012 Heat and mass
More informationHeat transfer enhancement in natural convection in micropolar nanofluids
Arch. Mech., 68, 4, pp. 327 344, Warszawa 2016 Heat transfer enhancement in natural convection in micropolar nanofluids K. RUP, K. NERING Faculty of Mechanical Engineering Cracow University of Technology
More informationMHD Free Convective Heat and Mass Transfer of a Chemically-Reacting Fluid from Radiate Stretching Surface Embedded in a Saturated Porous Medium
INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING Volume 9 011 Article A66 MHD Free Convective Heat and Mass Transfer of a Chemically-Reacting Fluid from Radiate Stretching Surface Embedded in a Saturated
More informationUnsteady Hydromagnetic Couette Flow within a Porous Channel
Tamkang Journal of Science and Engineering, Vol. 14, No. 1, pp. 7 14 (2011) 7 Unsteady Hydromagnetic Couette Flow within a Porous Channel G. S. Seth*, Md. S. Ansari and R. Nandkeolyar Department of Applied
More informationNumerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field
International Journal of Applied Mathematics and Theoretical Physics 2018 4(1):15-26 http://www.sciencepublishinggroup.com/j/ijamtp doi: 10.11648/j.ijamtp.20180401.1 ISSN: 2575-5919 (Print) ISSN: 2575-5927
More informationPeristaltic Transport of a Magneto Non-Newtonian Fluid through A porous medium in a horizontal finite channel
IOSR Journal of Mathematics (IOSR-JM) e-issn: 2278-5728, p-issn:2319-765x. Volume 8, Issue 6 (Nov. Dec. 2013), PP 32-39 Peristaltic Transport of a Magneto Non-Newtonian Fluid through A porous medium in
More informationMHD Flow Past an Impulsively Started Vertical Plate with Variable Temperature and Mass Diffusion
Applied Mathematical Sciences, Vol. 5, 2011, no. 3, 149-157 MHD Flow Past an Impulsively Started Vertical Plate with Variable Temperature and Mass Diffusion U. S. Rajput and Surendra Kumar Department of
More informationTHE UNSTEADY FREE CONVECTION FLOW OF ROTATING MHD SECOND GRADE FLUID IN POROUS MEDIUM WITH EFFECT OF RAMPED WALL TEMPERATURE
THE UNSTEADY FREE CONVECTION FLOW OF ROTATING MHD SECOND GRADE FLUID IN POROUS MEDIUM WITH EFFECT OF RAMPED WALL TEMPERATURE 1 AHMAD QUSHAIRI MOHAMAD, ILYAS KHAN, 3 ZULKHIBRI ISMAIL AND 4* SHARIDAN SHAFIE
More informationUNSTEADY FREE CONVECTION BOUNDARY-LAYER FLOW PAST AN IMPULSIVELY STARTED VERTICAL SURFACE WITH NEWTONIAN HEATING
FLUID DYNAMICS UNSTEADY FREE CONVECTION BOUNDARY-LAYER FLOW PAST AN IMPULSIVELY STARTED VERTICAL SURFACE WITH NEWTONIAN HEATING R. C. CHAUDHARY, PREETI JAIN Department of Mathematics, University of Rajasthan
More informationThe Effect Of MHD On Laminar Mixed Convection Of Newtonian Fluid Between Vertical Parallel Plates Channel
The Effect Of MH On Laminar Mixed Convection Of Newtonian Fluid Between Vertical Parallel Plates Channel Rasul alizadeh,alireza darvish behanbar epartment of Mechanic, Faculty of Engineering Science &
More informationThe University of the West Indies, St. Augustine, Trinidad and Tobago. The University of the West Indies, St. Augustine, Trinidad and Tobago
Unsteady MHD Free Convection Couette Flow Through a Vertical Channel in the Presence of Thermal Radiation With Viscous and Joule Dissipation Effects Using Galerkin's Finite Element Method Victor M. Job
More informationInternational Journal of Innovative Research in Science, Engineering and Technology. (An ISO 3297: 2007 Certified Organization)
ISSN(Online): 239-8753 Influence of Chemical Reaction, Heat Source, Soret and Dufour Effects on Heat And Mass Transfer in Boundary Layer Flow Over a Stretching Cylinder Embedded in a Porous Medium using
More informationOscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient
Journal of Applied Fluid Mechanics, Vol. 9, No., pp. 75-75, 6. Available online at www.jafmonline.net, ISSN 75-57, EISSN 75-65. DOI:.8869/acadpub.jafm.68.5.876 Oscillatory MHD Mixed Convection Boundary
More informationHartmann Flow in a Rotating System in the Presence of Inclined Magnetic Field with Hall Effects
Tamkang Journal of Science and Engineering, Vol. 13, No. 3, pp. 243 252 (2010) 243 Hartmann Flow in a Rotating System in the Presence of Inclined Magnetic Field with Hall Effects G. S. Seth, Raj Nandkeolyar*
More informationSIMILARITY SOLUTION FOR MHD FLOW THROUGH VERTICAL POROUS PLATE WITH SUCTION
Journal of Computational and Applied Mechanics, Vol. 6., No. 1., (2005), pp. 15 25 SIMILARITY SOLUTION FOR MHD FLOW THROUGH VERTICAL POROUS PLATE WITH SUCTION Mohammad Ferdows, Masahiro Ota Department
More informationMixed Convection Flow of Couple Stress Fluid in a Non-Darcy Porous Medium with Soret and Dufour Effects
Journal of Applied Science and Engineering, Vol. 15, No. 4, pp. 415422 (2012 415 Mixed Convection Flow of Couple Stress Fluid in a Non-Darcy Porous Medium with Soret and Dufour Effects D. Srinivasacharya*
More informationEffect of Heat Generation and Radiation on Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 6, Issue, 8, PP -9 ISSN 47-7X (Print) & ISSN 47-4 (Online) DOI: http://dx.doi.org/4/47-4.64 www.arcjournals.org
More informationDufour and Soret effects on unsteady free convective flow past a semi infinite vertical plate with variable viscosity and thermal conductivity
Dufour and Soret effects on unsteady free convective flow past a semi infinite vertical plate with variable viscosity and thermal conductivity P. Loganathan, D. Iranian, P. Ganesan 3, 3 Department of Mathematics,
More informationMHD Flow and Heat Transfer over an. Exponentially Stretching Sheet with Viscous. Dissipation and Radiation Effects
Applied Mathematical Sciences, Vol. 7, 3, no. 4, 67-8 MHD Flow and Heat Transfer over an Exponentially Stretching Sheet with Viscous Dissipation and Radiation Effects R. N. Jat and Gopi Chand Department
More informationA Finite Element Analysis on MHD Free Convection Flow in Open Square Cavity Containing Heated Circular Cylinder
American Journal of Computational Mathematics, 2015, 5, 41-54 Published Online March 2015 in SciRes. http://www.scirp.org/journal/ajcm http://dx.doi.org/10.4236/ajcm.2015.51003 A Finite Element Analysis
More informationDual Solution of MHD Stagnation-Point Flow towards a Stretching Surface
Engineering, 010,, 99-305 doi:10.436/eng.010.4039 Published Online April 010 (http://www. SciRP.org/journal/eng) 99 Dual Solution of MHD Stagnation-Point Flow towards a Stretching Surface Abstract T. R.
More informationT Fluid temperature in the free stream. T m Mean fluid temperature. α Thermal diffusivity. β * Coefficient of concentration expansion
International Journal of Engineering & Technology IJET-IJENS Vol: No: 5 3 Numerical Study of MHD Free Convection Flo and Mass Transfer Over a Stretching Sheet Considering Dufour & Soret Effects in the
More informationEffect of Couple Stresses on the MHD of a Non-Newtonian Unsteady Flow between Two Parallel Porous Plates
Effect of Couple Stresses on the MHD of a Non-Newtonian Unsteady Flow between Two Parallel Porous Plates N. T. M. Eldabe A. A. Hassan and Mona A. A. Mohamed Department of Mathematics Faculty of Education
More informationVOL., NO., JLY 5 ISSN 89-668 6-5 Asian Research Publishing Network (ARPN). All rights reserved. FIRST ORDER CHEMICAL REACTION EFFECTS ON A PARABOLIC FLOW PAST AN INFINITE VERTICAL PLATE WITH VARIABLE TEMPERATRE
More informationEffect of Mass Transfer And Hall Current On Unsteady Mhd Flow Of A Viscoelastic Fluid In A Porous Medium.
IOSR Journal of Engineering (IOSRJEN) e-issn: 50-301, p-issn: 78-8719, Volume, Issue 9 (September 01), PP 50-59 Effect of Mass Transfer And Hall Current On Unsteady Mhd Flow Of A Viscoelastic Fluid In
More informationIntroduction to Heat and Mass Transfer. Week 9
Introduction to Heat and Mass Transfer Week 9 補充! Multidimensional Effects Transient problems with heat transfer in two or three dimensions can be considered using the solutions obtained for one dimensional
More informationOn steady hydromagnetic flow of a radiating viscous fluid through a horizontal channel in a porous medium
AMERICAN JOURNAL OF SCIENTIFIC AND INDUSTRIAL RESEARCH 1, Science Huβ, http://www.scihub.org/ajsir ISSN: 153-649X doi:1.551/ajsir.1.1..33.38 On steady hydromagnetic flow of a radiating viscous fluid through
More informationAustralian Journal of Basic and Applied Sciences
Australian Journal of Basic and Applied Sciences, 8() Special 014, Pages: 1-3 AENSI Journals Australian Journal of Basic and Applied Sciences ISSN:1991-8178 Journal home page: www.ajbasweb.com Marangoni
More informationJournal of Applied Fluid Mechanics, Vol. 9, No. 1, pp , Available online at ISSN , EISSN
Journal of Applied Fluid Mechanics, Vol. 9, No., pp. 32-33, 26. Available online at www.jafmonline.net, ISSN 735-3572, EISSN 735-3645. MHD Flow Heat and Mass Transfer of Micropolar Fluid over a Nonlinear
More informationInternational ejournals
Available online at www.internationalejournals.com ISSN 0976 1411 International ejournals International ejournal of Mathematics and Engineering 30 (013) 4 55 RADIATION EFFECTS ON UNSTEADY FLOW PAST AN
More informationmagnetic field, heat Research Article
International Journal of Current Engineering and Technology E-ISSN 2277 4106, P-ISSN 2347 5161 2015 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Research Article Comparison
More informationHydromagnetic oscillatory flow through a porous medium bounded by two vertical porous plates with heat source and soret effect
Available online at www.pelagiaresearchlibrary.com Advances in Applied Science Research, 2012, 3 (4):2169-2178 ISSN: 0976-8610 CODEN (USA): AASRFC Hydromagnetic oscillatory flow through a porous medium
More informationSimilarity Flow Solution of MHD Boundary Layer Model for Non-Newtonian Power-Law Fluids over a Continuous Moving Surface
Gen. Math. Notes, Vol. 4, No., October 014, pp. 97-10 ISSN 19-7184; Copyright ICSRS Publication, 014 www.i-csrs.org Available free online at http://www.geman.in Similarity Flow Solution of MHD Boundary
More informationISSN Article
Entropy 23, 5, 28-299; doi:.339/e5628 OPEN ACCESS entropy ISSN 99-43 www.mdpi.com/journal/entropy Article Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective
More informationUNSTEADY MHD FREE CONVECTIVE FLOW PAST A MOVING VERTICAL PLATE IN PRESENCE OF HEAT SINK
Journal of Rajasthan Academy of Physical Sciences ISSN : 097-6306; URL : http:raops.org.in Vol.16, No.1&, March-June, 017, 1-39 UNSTEADY MHD FREE CONVECTIVE FLOW PAST A MOVING VERTICAL PLATE IN PRESENCE
More informationMIXED CONVECTION OF NEWTONIAN FLUID BETWEEN VERTICAL PARALLEL PLATES CHANNEL WITH MHD EFFECT AND VARIATION IN BRINKMAN NUMBER
Bulletin of Engineering Tome VII [14] ISSN: 67 389 1. Rasul ALIZADEH,. Alireza DARVISH BAHAMBARI, 3. Komeil RAHMDEL MIXED CONVECTION OF NEWTONIAN FLUID BETWEEN VERTICAL PARALLEL PLATES CHANNEL WITH MHD
More informationRiyadh 11451, Saudi Arabia. ( a b,c Abstract
Effects of internal heat generation, thermal radiation, and buoyancy force on boundary layer over a vertical plate with a convective boundary condition a Olanrewaju, P. O., a Gbadeyan, J.A. and b,c Hayat
More informationFluid Dynamics: Theory, Computation, and Numerical Simulation Second Edition
Fluid Dynamics: Theory, Computation, and Numerical Simulation Second Edition C. Pozrikidis m Springer Contents Preface v 1 Introduction to Kinematics 1 1.1 Fluids and solids 1 1.2 Fluid parcels and flow
More informationTHERMAL RADIATION EFFECTS ON MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER IN A CHANNEL WITH POROUS WALLS OF DIFFERENT PERMEABILITY
S563 THERMAL RADIATION EFFECTS ON MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER IN A CHANNEL WITH POROUS WALLS OF DIFFERENT PERMEABILITY by Kishan NAIKOTI * and Meenakshi VADITHYA Department of Mathematics,
More informationON VARIABLE LAMINAR CONVECTIVE FLOW PROPERTIES DUE TO A POROUS ROTATING DISK IN A MAGNETIC FIELD
ON VARIABLE LAMINAR CONVECTIVE FLOW PROPERTIES DUE TO A POROUS ROTATING DISK IN A MAGNETIC FIELD EMMANUEL OSALUSI, PRECIOUS SIBANDA School of Mathematics, University of KwaZulu-Natal Private Bag X0, Scottsville
More information1. Introduction. Fahad B. Mostafa *, MA Samad, MR Hossain
American Journal of Computational and Applied Mathematics 017, 7(3): 71-79 DOI: 193/j.ajcam.017070 Combined Effect of Viscous Dissipation and Radiation on nsteady Free Convective Non-Newtonian Fluid Along
More informationPrinciples of Convection
Principles of Convection Point Conduction & convection are similar both require the presence of a material medium. But convection requires the presence of fluid motion. Heat transfer through the: Solid
More informationSORET EFFECT ON A STEADY MIXED CONVECTIVE HEAT AND MASS TRANSFER FLOW WITH INDUCED MAGNETIC FIELD
SORET EFFECT ON A STEADY MIXED CONVECTIVE HEAT AND MASS TRANSFER FLOW WITH INDUCED MAGNETIC FIELD C. S. Sravanthi 1, N.Bhuvanesh Abstract This paper is focuses on the soret effect on a two dimensional,
More informationRamasamy Kandasamy Department of Mathematics, Institute of Road and Transport Technology Erode , India kandan
Journal of Computational and Applied Mechanics, Vol. 6., No. 1., (2005), pp. 27 37 NONLINEAR HYDROMAGNETIC FLOW, HEAT AND MASS TRANSFER OVER AN ACCELERATING VERTICAL SURFACE WITH INTERNAL HEAT GENERATION
More informationAnalysis of Fluid Film Stiffness and Damping coefficient for A Circular Journal Bearing with Micropolar Fluid
et International Journal on Emerging Technologies 5(1): 206-211(2014) ISSN No. (Print) : 0975-8364 ISSN No. (Online) : 2249-3255 Analysis of Fluid Film Stiffness Damping coefficient for A Circular Journal
More informationInternational Journal of Thermal Sciences
International Journal of Thermal Sciences 48 2009) 1658 1663 Contents lists available at ScienceDirect International Journal of Thermal Sciences www.elsevier.com/locate/ijts Combined effect of heat generation
More informationChapter 9: Differential Analysis
9-1 Introduction 9-2 Conservation of Mass 9-3 The Stream Function 9-4 Conservation of Linear Momentum 9-5 Navier Stokes Equation 9-6 Differential Analysis Problems Recall 9-1 Introduction (1) Chap 5: Control
More informationROTATING OSCILLATORY MHD POISEUILLE FLOW: AN EXACT SOLUTION
Kragujevac J. Sci. 35 (23) 5-25. UDC 532.527 ROTATING OSCILLATORY MHD POISEUILLE FLOW: AN EXACT SOLUTION Krishan Dev Singh Wexlow Bldg, Lower Kaithu, Shimla-73, India e-mail: kdsinghshimla@gmail.com (Received
More informationSoret and Dufour effects on mixed convection in a non-darcy porous medium saturated with micropolar fluid
100 Nonlinear Analysis: Modelling and Control, 2011, Vol. 16, No. 1, 100 115 Soret and Dufour effects on mixed convection in a non-darcy porous medium saturated with micropolar fluid D. Srinivasacharya,
More informationMHD Free convection flow of couple stress fluid in a vertical porous layer
Available online at www.pelagiaresearchlibrary.com Advances in Applied Science Research,, (6:5- ISSN: 976-86 CODEN (USA: AASRFC MHD Free convection flow of couple stress fluid in a vertical porous layer
More informationUnsteady MHD Flow over an Infinite Porous Plate Subjected to Convective Surface Boundary Conditions
International Journal of Contemporary Mathematical Sciences Vol. 1, 017, no. 1, 1-1 HIKARI Ltd, www.m-hikari.com https://doi.org/10.1988/ijcms.017.6849 Unsteady MHD Flow over an Infinite Porous Plate Subjected
More information