MHD FLOW PAST AN IMPULSIVELY STARTED INFINITE VERTICAL PLATE IN PRESENCE OF THERMAL RADIATION
|
|
- Katrina Armstrong
- 5 years ago
- Views:
Transcription
1 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 , Assam, India Received January 10, 007 The effect of thermal radiation past an impulsively started infinite vertical plate under the influence of transverse magnetic field has been discussed. The fluid is assumed to be gray, emitting-absorbing but non-scattering medium and the optically thick radiation limit is considered. The dimensionless governing equations are solved using Laplace transformation technique. The velocity and temperature profiles are shown on graphs. The variation of skin-friction is also shown in a table. Key words: radiation, skin-friction, temperature, MHD. 000 Mathematics Subject Classification: 76B, 76W INTRODUCTION In recent years, the subject of magnetohydrodynamics has attracted the attention of many authors in view not only of its own interest, but also of its application to problems in geophysics, astrophysics and engineering. At the high temperatures attained in some engineering devices, gas, for example, can be ionized and so becomes an electrical conductor. The ionized gas or plasma can be made to interact with the magnetic field and alter heat transfer and friction characteristic. Since some fluids can also emit and absorb thermal radiation, it is of interest to study the effect of magnetic field on the temperature distribution and heat transfer when the fluid is not only an electrical conductor but also when it is capable of emitting and absorbing thermal radiation. This is of interest because heat transfer by thermal radiation is becoming of greater importance when we are concerned with space applications and higher operating temperatures. In this paper, we consider one of the simplest problems of this type in which an electrically conducting, radiating, viscous, incompressible fluid past an impulsively started infinite vertical plate under the action of a constant pressure gradient is subjected to an external magnetic field of constant strength in the direction perpendicular to the plate and to the direction of flow. Rom. Journ. Phys., Vol. 5, Nos. 5 7, P , Bucharest, 007
2 566 M. K. Mazumdar, R. K. Deka Several investigations have been carried out on problem of heat transfer by radiation as an important application of space and temperature related problems. Greif, Habib and Lin [1] obtained an exact solution for the problem of laminar convective flow in a vertical heated channel in the optically thin limit. In the optically thin limit, the fluid does not absorb its own emitted radiation which means that there is no self absorption but the fluid does absorb radiation emitted by the boundaries. Viskanta [] investigated the forced convective flow in a horizontal channel permeated by uniform vertical magnetic fluid taking radiation into account. He studied the effects of magnetic field and radiation on the temperature distribution and the rate of heat transfer in the flow. Later Gupta and Gupta [3] studied the effect of radiation on the combined free and forced convection of an electrically conducting fluid flowing inside an open-ended vertical channel in the presence of a uniform transverse magnetic field for the case of optically thin limit. They found that radiation tends to increase the rate of heat transfer to the fluid there by reducing the effect of natural convection. Soundalgekar and Takhar [4] first, studied the effect of radiation on the natural convection flow of a gas past a semi-infinite plate using the Cogly-Vincentine- Gilles equilibrium model (Cogly et al. [5]). For the same gas Takhar et al. [6] investigated the effects of radiation on the MHD free convection flow past a semi-infinite vertical plate. Later, Hossain and Takhar [7] analyzed the effect of radiation using the Rosseland diffusion approximation which leads to nonsimilar solution for the forced and free convection of an optically dense viscous incompressible fluid past a heated vertical plate with uniform free stream and uniform surface temperature, while Hossain et al. [8] studies the effect of radiation on free convection from a porous vertical plates. Muthucumaraswamy and Kumar [9] studied the thermal radiation effects on moving infinite vertical plate in the presence of variable temperature and mass diffusion. It is the purpose of this paper to examine quantitatively the effect of magnetic field of an optically thin viscous incompressible fluid from an impulsively started vertical plate in the presence of thermal radiation. The temperature and velocity distributions are evaluated numerically for some values of the radiation parameter, magnetic field parameter Prandtl number and time.. MATHEMATICAL ANALYSIS We consider an electrically conducting, radiating, viscous, incompressible fluid past an impulsively started infinite vertical plate. Initially, the plate and the surrounding gas are at the same temperature T. At time t > 0, the plate temperature is slightly increased to Tw T > 0 and the magnetic field of strength B 0 is assumed to be applied in a direction perpendicular to the vertical plate, so that there exists free convection current in the vicinity of the plate when
3 3 MHD flow 567 the plate is given an impulsive motion with a velocity u 0. The x -axis is taken along the plate in the vertically upward direction and the y -axis is taken normal to the plate, in the direction of the applied magnetic field. Then the fully developed flow of a radiating gas is governed by the following set of equations: u u σbu 0 =ν + gβ ( T T ) t y ρ (1) T T qr ρ C p = k () t y y The initial and boundary conditions are u = 0, T = T, for all y, t 0 u = u0, T = Tw at y = 0 (3) t > 0 u = 0, T T as y Here u is the velocity in the x -direction, ρ the density, g the acceleration due to gravity, β the coefficient of thermal expansion, T the temperature of the fluid near the plate, C p the specific heat at constant pressure, K the thermal conductivity, q r the radiative flux, ν the kinematic viscosity and σ the electrical conductivity. In the optically thick limit, the fluid does not absorb its own emitted radiation that is there is no self absorption, but it does absorb radiation emitted by the boundaries. It has been shown by Cogly et al. [5], that in the optically thick limit for a non-gray gas near equilibrium, that qr debλ = 4( T T ) K dλ= 4I ( T T ) y (4) λw 1 dt 0 w where K λw is the absorption coefficient, e bλ is the Planck function and the subscript w refers to values at the wall. On introducing the following non-dimensional quantities, u Gy u0 Gt u0 T T u=, y =, t =, θ=, u0 υ υ Tw T σb0 υ 4I C 1υ μ p gβυ( Tw T ) M =, F =, Pr =, G = ρgu K 3 0 Ku0G u 0 where Pr the Prandtl number, F the radiation parameter, M the magnetic field parameter, G the Grashof number and θ the dimensionless temperature. (5)
4 568 M. K. Mazumdar, R. K. Deka 4 Then in view of (5), equations (1) and () reduce to u = u +θ Mu t y Pr θ = θ Fθ t y with following boundary conditions u= 0, θ= 0, for all y, t 0 u= 1, θ= 1 at y = 0 t > 0 u 0, θ 0 as y (6) (7) (8) We now solve equations (6) and (7) subject to the initial and boundary conditions (8) by the usual Laplace transformation technique. The solutions are given by 1 y F y Pr y F y Pr e F erfc t e erfc F θ= t + + ( 1 ) 1 1 y M y y M y u e = + erfc Mt e erfc Mt a + + t t 1 ct y b y y b y e e erfc bt e erfc bt a + + t t 1 y F y Pr F y F y Pr e erfc t e erfc F t a ct y b y Pr e e erfc b + t + y b y Pr b a e erfc + t (9) (10) where a= F M, b= F MPr, c= a. 1 Pr 1 Pr To understand the physical meaning of the problem, we have computed the expression for u and θ for different values of radiation parameter F, magnetic field parameter M, Prandtl number Pr = 0.71 and time t. The purpose of the calculations given here is to assess the effects of the parameters F, M and t upon the nature of the flow and transport. The temperature profiles are shown in Figs. 1 and for air Pr = The effect of thermal radiation parameter is important in temperature profiles. We observe from Figs. 1 and, which the temperature decreases with increasing F and
5 5 MHD flow 569 Fig. 1 Temperature profiles for different values of F. Fig. Temperatures profiles for different values of t.
6 570 M. K. Mazumdar, R. K. Deka 6 Fig. 3 Velocity profiles for different values of F. Fig. 4 Velocity profiles for different values of t.
7 7 MHD flow 571 Fig. 5 Velocity profiles for different values of M. increases with increasing t. The velocity profiles are shown in Figs. 3, 4 and 5 for air Pr = It is observed that the velocity decreases with increasing F and M, but increases with increasing time t. 3. SKIN-FRICTION Knowing the velocity field, we now study the changes in the skin-friction, which is given in non-dimensional form as τ= du dy y = 0 Then from equations (10) and (11), we have 1 ( 1 ) Merf ( Mt Mt ct bt ) e e e berf ( bt) τ= a πt a πt b F b Pr t Pr 1 Pr t berf t e e Pr Ferf F t Pr + πt a πt Pr (11) (1) The numerical values of skin-friction τ are presented in Table 1 for different values of radiation parameter F, magnetic field parameter M, Prandtl
8 57 M. K. Mazumdar, R. K. Deka 8 number Pr = 0.71 and time t. It is inferred from this table, skin-friction decreases with increasing values of the radiation parameter F. This shows that the wall shear stress decreases with increasing radiation parameter. It is also observed that the skin-friction decreases with increasing values of magnetic field parameter M. It is interesting to note that, the skin-friction decreases with increasing values of the time t. Table 1 Values of skin-friction for air Pr = 0.71 t F M τ CONCLUSIONS i. The temperature decreases with increasing F and increases with increasing t. ii. The velocity decreases with increasing F and M, but increases with increasing time t. iii. The wall shear stress decreases with increasing radiation parameter F and time t. REFERENCES 1. R. Greif, I. S. Habib, J. C. Lin, Laminar convection of a radiating gas in a vertical channel, Journal of Fluid Dynamics, 46, , R. Viskanta, Effect of transverse magnetic field on heat transfer to an electrically conducting and thermal radiating fluid flowing in a parallel plate channel, ZAMP, 14, , P. S. Gupta, A. S. Gupta, Radiation effect on hydromantic convection in a vertical channel, Int. J. Heat Mass Transfer, 17, , V. M. Soundalgekar, H. S. Takhar, Radiative convective flow past a semi infinite vertical plate, Modelling Measure and Cont., 51, 31 40, A. C. Cogly, W. C. Vincentine, S. E. Gilles, Differential approximation for radiative transfer in a non-gray gas near equilibrium, AIAA Journal, 6, , 1968.
9 9 MHD flow H. S. Takhar, R. S. R. Gorla, V. M. Soundalgekar, Radiation effects on MHD free convection flow of a radiating gas past a semi infinite vertical plate, Int. J. Numerical Methods Heat Fluid Flow, 6, 77 83, M. A. Hossain, H. S. Takhar, Radiative effect on mixed convection along a vertical plate with uniform surface temperature, Int. J. Heat Mass Transfer, 31, 43 48, M. A. Hossain, M. A. Alim, D. A. S. Rees, Effect of radiation on free convection from a porous vertical plate, Int. J. Heat Mass Transfer, 4, , R. Muthcuumaraswamy, G. Senthil Kumar, Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation, Theoret. Appl. Mach., 31(1), 35 46, 004.
Unsteady MHD free convection flow and mass transfer near a moving vertical plate in the presence of thermal radiation
Available online at.pelagiaresearchlibrary.com Advances in Applied Science Research, 11, (6):61-69 ISSN: 976-861 CODEN (USA): AASRFC Unsteady MHD free convection flo and mass transfer near a moving vertical
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 informationUNSTEADY MHD FREE CONVECTION FLOW AND MASS TRANSFER NEAR A MOVING VERTICAL PLATE IN THE PRESENCE OF THERMAL RADIATION
1. Shaik ABZAL,. G. V. RAMANA REDDY, 3. S. VIJAYAKUMAR VARMA UNSTEADY MHD FREE CONVECTION FLOW AND MASS TRANSFER NEAR A MOVING VERTICAL PLATE IN THE PRESENCE OF THERMAL RADIATION 1. AUDISANKARA COLLEGE
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 information[Lakshmi* et al., 5.(6): June, 2016] ISSN: IC Value: 3.00 Impact Factor: 4.116
[Lakshmi* et al., 5.(6): June, 6] ISSN: 77-9655 IC Value: 3. Impact Factor: 4.6 IJESRT INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY THERMAL RADIATION AND CHEMICAL REACTION EFFECTS
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 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 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 informationRadiation Effects on Free Convection MHD Couette Flow Started Exponentially with Variable Wall Temperature in Presence of Heat Generation
Open Journal of Fluid Dynamics,,, 4-7 http://dx.doi.org/.436/ojfd.. Published Online March (http://www.scirp.org/journal/ojfd) Radiation Effects on Free Convection MHD Couette Flow Started Exponentially
More informationRadiation and Heat Absorption Effects on Unsteady MHD Flow Through Porous Medium in The Presence of Chemical Reaction of First Order
ISBN 978-93-5156-38-0 International Conference of Advance Research and Innovation (-014) Radiation and Heat Absorption Effects on Unsteady MHD Flow Through Porous Medium in The Presence of Chemical Reaction
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 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 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 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 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 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 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 informationEffects of variable viscosity and nonlinear radiation on MHD flow with heat transfer over a surface stretching with a power-law velocity
Available online at www.pelagiaresearchlibrary.com Advances in Applied Science Research, 01, 3 (1):319-334 ISSN: 0976-8610 CODEN (USA): AASRFC Effects of variable viscosity and nonlinear radiation on MHD
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 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 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 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 informationInfluence of Chemical Reaction and Radiation on. Unsteady MHD Free Convective Flow and Mass. Transfer through Viscous Incompressible Fluid
Applied Mathematical Sciences, Vol. 5,, no. 46, 49-6 Influence of Chemical Reaction and Radiation on Unsteady MHD Free Convective Flow and Mass Transfer through Viscous Incompressible Fluid Past a Heated
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 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 informationGENERAL PHYSICS MAGNETOHYDRODYNAMICS
GENERAL PHYSICS MAGNETOHYDRODYNAMICS HALL EFFECT ON MHD MIXED CONVECTIVE FLOW OF A VISCOUS INCOMPRESSIBLE FLUID PAST A VERTICAL POROUS PLATE IMMERSED IN POROUS MEDIUM WITH HEAT SOURCE/SINK BHUPENDRA KUMAR
More informationResearch Article Radiation-Conduction Interaction of Steady Streamwise Surface Temperature Variations on Vertical Free Convection
International Scholarly Research Network ISRN Applied Mathematics Volume 211, Article ID 927416, 11 pages doi:1.542/211/927416 Research Article Radiation-Conduction Interaction of Steady Streamwise Surface
More informationInternational ejournals
ISSN 49 546 Available online at www.internationalejournals.com International ejournals International Journal of Mathematical Sciences, Technology and Humanities 11 (11) 111 117 FLOW PAST AN ACCELERATED
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 informationConceptual Study of the Effect of Radiation on Free Convective Flow of Mass and Heat Transfer over a Vertical Plate
Applied Mathematics 014, 4(): 56-63 DOI: 10.593/j.am.014040.03 Conceptual Study of the Effect of Radiation on Free Convective Flow of Mass and Heat Transfer over a Vertical Plate Abah Sunday Ojima 1,*,
More informationHeat and Mass Transfer
1 Comments on six papers published by S.P. Anjali Devi and R. Kandasamy in Heat and Mass Transfer, ZAMM, Mechanics Research Communications, International Communications in Heat and Mass Transfer, Communications
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 informationNumerical Study of Steady MHD Plane Poiseuille Flow and Heat Transfer in an Inclined Channel
Numerical Study of Steady MHD Plane Poiseuille Flow and Heat Transfer in an Inclined Channel Muhim Chutia Department of Mathematics, Mariani College, Assam-785634, India ABSTRACT: In this paper, a numerical
More informationFlow Past an Exponentially Accelerated Infinite Vertical Plate and Temperature with Variable Mass Diffusion
Internional Journal of Computer Applicions (97 8887) Volume No, May Flow Past an Exponentially Accelered Infinite Vertical Ple and Temperure with Variable Mass Diffusion KK Asogwa Department of Mhemics
More informationDissipation, MHD and Radiation Effects on an Unsteady Convective Heat and Mass Transfer in a Darcy-Forcheimer Porous Medium
Dissipation, MHD and Radiation Effects on an Unsteady Convective Heat and Mass Transfer in a Darcy-Forcheimer Porous Medium Moses S. Dada (Corresponding author) Department of Mathematics, University of
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 informationAvailable online at (Elixir International Journal) Applied Mathematics. Elixir Appl. Math. 51 (2012)
10809 P. Sreenivasulu et al./ Elixir Appl. Math. 51 (01) 10809-10816 Available online at www.elixirpublishers.com (Elixir International Journal) Applied Mathematics Elixir Appl. Math. 51 (01) 10809-10816
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 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 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 informationUnsteady free convection MHD flow between two heated vertical plates one adiabatic
International Journal of Advances in Applied athematics and echanics Volume, Issue : (3) pp. 6-56 IJAA Available online at www.ijaamm.com ISSN: 37-59 Unsteady free convection HD flow between two heated
More informationEffect of Heat Absorption on MHD Flow Over a Plate with Variable Wall Temperature
Journal of Applied Science and Engineering, Vol. 20, No. 3, pp. 277 282 (2017) DOI: 10.6180/jase.2017.20.3.01 Effect of Heat Absorption on MHD Flow Over a Plate with Variable Wall Temperature U S Rajput*
More informationFree convection effects on mhd flow past an infinite vertical accelerated plate embedded in porous media with constant heat flux
Vol. XVII, N o 2, Diciembre (29) Matemáticas: 73 82 Matemáticas: Enseñanza Universitaria c Escuela Regional de Matemáticas Universidad del Valle - Colombia Free convection effects on mhd flow past an infinite
More informationCopyright 2014 Tech Science Press FDMP, vol.10, no.4, pp , 2014
Copyright 2014 Tech Science Press FDMP, vol.10, no.4, pp.417-442, 2014 Thermal Radiation and Chemical Reaction Effects on Steady Convective Slip Flow with Uniform Heat and Mass Flux in the Presence of
More informationFutures and Trends Research Group, Faculty of Industrial Science & Technology, Universiti Malaysia Pahang, UMP Kuantan, Pahang, Malaysia
Effect of adiation on Magnetohydrodynamic Free Convection Boundary Layer Flow Near The Lower Stagnation Point of A Solid Sphere with Newtonian Heating EFFECT OF ADIATION ON MAGNETOHYDODYNAMIC FEE CONVECTION
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 informationN. SENAPATI 1 & R. K. DHAL 2
IMPACT: International Journal of Research in Humanities, Arts and Literature (IMPACT: IJRHAL) ISSN(E): 2321-8878; ISSN(P): 2347-4564 Vol. 2, Issue 1, Jan 2014, 19-28 Impact Journals MAGNETIC EFFECTS OF
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 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 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 information6.2 Governing Equations for Natural Convection
6. Governing Equations for Natural Convection 6..1 Generalized Governing Equations The governing equations for natural convection are special cases of the generalized governing equations that were discussed
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 informationRADIATION ABSORPTION AND ALIGNED MAGNETIC FIELD EFFECTS ON UNSTEADY CONVECTIVE FLOW ALONG A VERTICAL POROUS PLATE
Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS) 5(7): 8-87 Journal Scholarlink of Emerging Research Trends Institute in Engineering Journals, 4 and (ISSN: Applied 4-76) Sciences
More informationTechnology, Bangladesh
International Journal of Physics and Research Vol.1, Issue 1 (2011) 30-58 TJPRC Pvt. Ltd., HEAT AND MASS TRANSFER OF AN MHD FORCED CONVECTION FLOW ALONG A STRETCHING SHEET WITH CHEMICAL REACTION, RADIATION
More informationFinite 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 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 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 informationMHD OSCILLATORY SLIP FLOW AND HEAT TRANSFER IN A CHANNEL FILLED WITH POROUS MEDIA
U.P.B. Sci. Bull., Series A, Vol. 76, Iss., 04 ISSN 3-707 MHD OSCILLATORY SLIP FLOW AND HEAT TRANSFER IN A CHANNEL FILLED WITH POROUS MEDIA Samuel Olumide ADESANYA, Oluwole Daniel MAKINDE This paper deals
More informationEXACT SOLUTION OF MHD MIXED CONVECTION PERIODIC FLOW IN A ROTATING VERTICAL CHANNEL WITH HEAT RADIATION
Int. J. of Applied Mechanics and Engineering, 03, vol.8, No.3, pp.853-869 DOI: 0.478/ijame-03-005 EXACT SOLUTION OF MHD MIXED CONVECTION PERIODIC FLOW IN A ROTATING VERTICAL CHANNEL WITH HEAT RADIATION
More informationUnsteady MHD Mixed Convection Flow, Heat and Mass Transfer over an Exponentially Stretching Sheet with Suction, Thermal Radiation and Hall Effect
IOSR Journal of Mathematics (IOSR-JM) e-issn: 2278-5728, p-issn: 239-765X. Volume 2, Issue 4 Ver. III (Jul. - Aug.26), PP 66-77 www.iosrjournals.org Unsteady MHD Mixed Convection Flow, Heat and Mass Transfer
More informationPallavaram, Chennai, Tamil Nadu. Pallavaram, Chennai, Tamil Nadu, India. Abstract
Volume 116 No. 24 2017, 81-92 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu ijpam.eu Skin Friction Analysis of Parabolic Started Infinite Vertical Plate
More informationUnsteady MHD Free Convection Flow past an Accelerated Vertical Plate with Chemical Reaction and Ohmic Heating
nsteady MHD Free Convection Flow past an Accelerated Vertical Plate with Chemical Reaction and Ohmic Heating M. Rajaiah 1, Dr. A. Sudhakaraiah 1 Research Scholar Department of Mathematics, Rayalaseema
More informationMixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet
Meccanica (2006) 41:509 518 DOI 10.1007/s11012-006-0009-4 Mied convection boundary layers in the stagnation-point flow toward a stretching vertical sheet A. Ishak R. Nazar I. Pop Received: 17 June 2005
More informationSLIP EFFECTS ON UNSTEADY FREE CONVECTIVE HEAT AND MASS TRANSFER FLOW WITH NEWTONIAN HEATING
THERMAL SCIENCE, Year 016, Vol. 0, No. 6, pp. 1939-195 1939 SLIP EFFECTS ON UNSTEADY FREE CONVECTIVE HEAT AND MASS TRANSFER FLOW WITH NEWTONIAN HEATING by Abid HUSSANAN a, Ilyas KHAN b, Mohd Z. SALLEH
More informationUnsteady MHD Free Convection Past an Impulsively Started Isothermal Vertical Plate with Radiation and Viscous Dissipation
Copyright 2014 Tech Science Press FDMP, vol.10, no.4, pp.521-550, 2014 Unsteady MHD Free Convection Past an Impulsively Started Isothermal Vertical Plate with Radiation and Viscous Dissipation Hawa Singh
More informationHeat Generation/Absorption, Chemical Reaction, MHD, Thermal Radiation, Thermal Diffusion, Heat and Mass Transfer, Semi-Infinite Vertical Plate
pplied Mathematics, 6, 7, 638-649 Published Online pril 6 in SciRes. http://www.scirp.org/journal/am http://dx.doi.org/.436/am.6.7759 Thermal Diffusion Effect on MHD Heat and Mass Transfer Flow past a
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 informationFlow and Natural Convection Heat Transfer in a Power Law Fluid Past a Vertical Plate with Heat Generation
ISSN 1749-3889 (print), 1749-3897 (online) International Journal of Nonlinear Science Vol.7(2009) No.1,pp.50-56 Flow and Natural Convection Heat Transfer in a Power Law Fluid Past a Vertical Plate with
More informationAnalysis of Transient Natural Convection flow past an Accelerated Infinite Vertical Plate
From the SelectedWorks of Innovative Research Publications IRP India Winter February 1, 015 Analysis of ransient Natural Convection flow past an Accelerated Infinite Vertical Plate Innovative Research
More informationNonlinear Radiation Effects on Hydromagnetic Boundary Layer Flow and Heat Transfer over a Shrinking Surface
Journal of Applied Fluid Mechanics, Vol. 8, No. 3, pp. 613-61, 015. Available online at www.jafmonline.net, ISSN 1735-357, EISSN 1735-3645. DOI: 10.18869/acadpub.jafm.73.38.636 Nonlinear Radiation Effects
More informationUnsteady Magnetohydrodynamic Free Convective Flow Past a Vertical Porous Plate
International Journal of Applied Science and Engineering 2013. 11, 3: 267-275 Unsteady Magnetohydrodynamic Free Convective Flow Past a Vertical Porous Plate Murali Gundagania,*, Sivaiah Sheria, Ajit Paulb,
More informationInternational Journal of Mathematical Archive-4(7), 2013, Available online through ISSN
International Journal of Mathematical Archive-4(7), 2013, 310-317 Available online through www.ijma.info ISSN 2229 5046 RESULT ON RADIATION EFFECTS ON A UNSTEADY MHD FLOW 1 M.V.S.S. Kiran Kumar*, 2 D.Atchutha
More informationThis is the author s version of a work that was submitted/accepted for publication in the following source:
This is the author s version of a work that was submitted/accepted for publication in the following source: Molla, Md. Mamun, Saha, Suvash C., & Hossain, Md. Anwar (11) Radiation effect on free convection
More informationSteady hydro magnetic rotating flow of a viscous incompressible fluid through a porous medium in a Parallel plate channel with Radiative Heat Transfer
IOSR Journal of Mathematics (IOSR-JM) e-issn: 78-578, p-issn: 39-765X. Volume, Issue 4 Ver. III (Jul-Aug. 4), PP 4- Steady hydro magnetic rotating flow of a viscous incompressible fluid through a porous
More informationEffect of radiation with temperature dependent viscosity and thermal conductivity on unsteady a stretching sheet through porous media
Nonlinear Analysis: Modelling and Control, 2010, Vol. 15, No. 3, 257 270 Effect of radiation with temperature dependent viscosity and thermal conductivity on unsteady a stretching sheet through porous
More informationCorrespondence should be addressed to S. M. Abo-Dahab,
Mathematical Problems in Engineering Volume, Article ID 58, 8 pages doi:.55//58 Research Article Analtical Solution of Thermal Radiation and Chemical Reaction Effects on Unstead MHD Convection through
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 informationRadiative Mhd Stagnation Point Flow Over A Chemical Reacting Porous Stretching Surface With Convective Thermal Boundary Condition
INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 3, ISSUE 1, DECEMBER 014 ISSN 77-8616 Radiative Mhd Stagnation Point Flow Over A Chemical Reacting Porous Stretching Surface With Convective
More informationAnalytical Solution Of Unsteady Flow Past An Accelerated Vertical Plate With Constant Temperature and Variable Mass Transfer
International Journal of Computational Engineering Research Vol, 4 Issue, Analytical Solution Of Unsteady Flow Past An Accelerated Vertical Plate With Constant Temperature and Variable Mass Transfer 1
More informationHeat and Mass Transfer over an unsteady Stretching Surface embedded in a porous medium in the presence of variable chemical reaction
Vol:5, No:2, 20 Heat and Mass Transfer over an unsteady Stretching Surface embedded in a porous medium in the presence of variable chemical reaction TGEmam International Science Index, Mathematical and
More informationMAGNETOHYDRODYNAMIC FLOW OF VISCOUS ELECTRICALLY CONDUCTING INCOMPRESSIBLE FLUID THROUGH VERTICAL PLATES SUBJECTED TO INCLINED MAGNETIC FIELD.
International Journal of Scientific and Technical Research in Engineering (IJSTRE) www.ijstre.com Volume 3 Issue 6 ǁ August 2018. MAGNETOHYROYNAMIC FLOW OF VISCOUS ELECTRICALLY CONUCTING INCOMPRESSIBLE
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 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 informationEffect Of Magnetic Field On Convection Of Radiating Gas in A Vertical Channel Through Porous Media
Proceedings of the World Congress on Engineering 3 Vol III, WCE 3, July 3-5, 3, London, U.K. Effect Of Magnetic Field On Convection Of Radiating Gas in A Vertical Channel Through Porous Media Ruchi Chaturvedi,
More informationResearch Article Innovation: International Journal of Applied Research; ISSN: (Volume-2, Issue-2) ISSN: (Volume-1, Issue-1)
Free Convective Dusty Visco-Elastic Fluid Flow Through a Porous Medium in Presence of Inclined Magnetic Field and Heat Source/ Sink 1 Debasish Dey, 2 Paban Dhar 1 Department of Mathematics, Dibrugarh University,
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 informationEFFECTS OF THERMAL RADIATION ON MHD AND SLIP FLOW OVER A POROUS ROTATING DISK WITH VARIABLE PROPERTIES
GENERAL PHYSICS MAGNETOHYDRODYNAMICS EFFECTS OF THERMAL RADIATION ON MHD AND SLIP FLOW OVER A POROUS ROTATING DISK WITH VARIABLE PROPERTIES EMMANUEL OSALUSI International Centre for Island Technology (ICIT),
More informationMathematical Analysis for Optically Thin Radiating/ Chemically Reacting Fluid in a Darcian Porous Regime
Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 13, Number 6 (017), pp. 1777-1798 Research India Publications http://www.ripublication.com Mathematical Analysis for Optically Thin
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 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 informationUnsteady free MHD convection flow past a vertical porous plate in slip-flow regime under fluctuating thermal and mass diffusion *
CHAPTER 4 Unstead free MHD convection flow past a vertical porous plate in slip-flow regime under fluctuating thermal and mass diffusion * 4. Nomenclature A : Suction parameter C : Dimensionless species
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 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 informationInternational Journal of Scientific & Engineering Research, Volume 5, Issue 1, January ISSN
International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January-14-155 - HEAT AND MASS TRANSFER IN THE MHD FLOW OF A VISCO-ELSTIC FLUID IN A ROTATING POROUS CHANNEL WITH RADIATIVE
More informationEffects of variable viscosity and thermal conductivity on MHD flow past a vertical plate
Vol. XX, N o 2, Diciembre (202) Matemáticas: 45 54 Matemáticas: Enseñanza Universitaria c Escuela Regional de Matemáticas Universidad del Valle - Colombia Effects of variable viscosity and thermal conductivity
More informationUnsteady MHD Couette Flow with Heat Transfer in the Presence of Uniform Suction and Injection
Mechanics and Mechanical Engineering Vol. 12, No. 2 (2008) 165 176 c Technical University of Lodz Unsteady MHD Couette Flow with Heat Transfer in the Presence of Uniform Suction and Injection Hazem A.
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 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 informationHydromagnetic stagnation point flow over a porous stretching surface in the presence of radiation and viscous dissipation
Applied and Computational Mathematics 014; 3(5): 191-196 Published online September 0, 014 (http://www.sciencepublishinggroup.com/j/acm) doi: 10.11648/j.acm.0140305.11 ISSN: 38-5605 (Print); ISSN:38-5613
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 information