NUMERICAL MODELING OF THE GASPARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP REGIME


 Alexia Poole
 2 years ago
 Views:
Transcription
1 Proceedings of the Asian Conference on Thermal Sciences 2017, 1st ACTS March 2630, 2017, Jeju Island, Korea ACTSP00394 NUMERICAL MODELING OF THE GASPARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP REGIME Zhenyu Liu, Huiying Wu * Shanghai Jiao Tong University, 800 Dong Chuan Rd. Minhang District, Shanghai , China Presenting Author: * Corresponding Author: ABSTRACT The transport characteristic of microscale gasparticle twophase fluid plays an important role in the innovative micro devices, such as solid propellant micro thruster and micro combustor, etc. The microscale flow and heat transfer processes in gasparticle fluid have attracted more and more attention in recent years due to its significant difference compared with that in the macro scale. The related fundamental phenomenon was still not clearly understood in the previous studies. In this work, a numerical model of the gasparticle flow in the microchannel was established with the EulerLagrange method. The numerical simulation was carried out with the slip boundary applied at the channel wall. The microscale effect on the gasparticle flow was studied based on the numerical prediction. The aim of this work is to provide a fundamental understanding of the flow and heat transfer characteristics of gasparticle fluid in the slip regime. KEYWORDS: Gasparticle fluid, Twophase flow, Heat transfer, Slip regime, Numerical modeling 1. INTRODUCTION The transport characteristic of microscale gasparticle twophase flow plays an important role in the innovative micro devices, such as solid propellant micro thruster and micro combustor, etc. [1, 2]. Microscale flow and heat processes in gasparticle fluid have attracted more and more attentions in recent years due to its significant difference compared with that in the macroscale fluid flow. The fundamental phenomenon was still not clearly understood in the previous studies. The flow and heat transfer between gas and micro particles has been investigated [3, 4]. In the work of Barber et al. [5], a formulation of the slip boundary condition was presented, which can be applied to a generalized curved surface. It was accomplished by recasting Maxwell s slipvelocity equation as a function of the local wall shear stress and it can be applied on the micro particle surface. Hosseini et al. [6] applied the velocity slip boundary condition for the gas flow regime to the NavierStokes equations to obtain the particle deposition in the micro channel, in which the heat transfer process was not considered in the numerical model. The previous work has proved that the rarefaction effect has significant influence on the fluid properties, flow status and heat transfer process [7]. For the slip flow regime (Knudsen number = ), the rarefaction effects should be considered in the numerical modeling. The continuum assumption still works but the local thermodynamic equilibrium in the nearwall region is not valid any more (but the linear stress strain relationship is still valid). The noslip boundary applied on the gassolid interface is not suitable, which means the gas velocity at the interface is not zero and the gas temperature at the interface is not equal to the solid surface temperature. In this paper, a numerical model of gasparticle twophase fluid flow in a microchannel has been established. The simulations were carried out under different operating conditions. The influence of the micro scale effects was studied based on the numerical predictions. The aim of this work is to provide a fundamental understanding of flow and heat transfer characteristics of gasparticle fluid in the microchannel and reveal the rarefaction effect of the gasparticle flow in the slip regime. 1
2 2. NUMERICAL MODEL The numerical modeling has been successfully utilized in the prediction of flow and heat transfer processes [8]. The NavierStokes equations were adopted to simulate the gas flow field: U g x + V g y = 0 (1) U ρ g (U g g + V U g x g ) = p g + U g y x μ( U g ) (2) x 2 y 2 The energy equation can be expressed by: V ρ g (U g g + V V g x g ) = p g + μ V g y y ( V g ) + ρ x 2 y gg (3) 2 T g t + div(t gv ) = k g ρ g c pg div( grad T g ) (4) As the characteristic dimension of micro device decreases, the collisions between molecules will be dominant in the micro scale fluid flow. The continuum assumption for the gas flow is not valid any more. The gas compressibility and rarefaction effect cannot be neglected in this case. And the fluid properties will be influenced by the Knudsen number, which is a dimensionless parameter (the ratio of gas mean free path to flow characteristic length): Kn = λ/l (5) To consider the parameter l in the expression of Kn, the flow characteristic length can be evaluated as a length scale of the flow geometry. For the gas flow predicted in this work, the equivalent diameter of micro channel was adopted as flow characteristic length in the numerical modeling. For gases, the mean free path λ is the average distance traveled by molecules between collisions. For an idea gas, the mean free path can be expressed as λ = KT 2πσ 2 P (6) in which the Boltzmann constant K = ,σ is the collision diameter of the molecules, T and P the temperature and pressure of the gas phase. In this work, the gas flow is in the slip flow regime, which considers the noncontinuum temperature and velocity phenomena. For the prediction of the flow and heat transfer of gas flow in the slip flow regime, the NS equations and the Fourier law were adopted in the predication in gas flow region. The velocity slip and temperature jump boundary conditions were adopted near micro channel wall. It has been proved that the first order velocity slip and temperature jump boundary conditions are accurate enough to predict the gas flow in slip flow regime (10 3 < Kn < 10 1 ) [7]. The Maxwell velocity slip boundary condition can be expressed as: U w U g = 2 α v Kn U α v n (7) where U g is the gas velocity at the solid surface and U w is the velocity of the wall. α v is tangential momentum accommodation coefficient, which is equal to 1 assuming that the wall is fully diffuse surface. (8) The temperature jump boundary condition can be expressed as: 2
3 T w T g = 2( 2 α T )Kn T α T n (9) Where T g is the gas temperature at the solid surface and T w is the temperature of the wall. α T is the thermal accommodation coefficient. The force balance on the particle in the Lagrangian method is defined as du p dt The drag, Brownian, and lifting force are calculated as = g ρ p ρ y + F ρ D(U U p ) + F B + F L (10) F D = 18μ C C ρ p d p 2 (11) F B = ξ 0 πs 0 Δt (12) F L = 2kV0.5 ρd ij ρ p d p (d ij d ik ) 0.25 (V V p ) (13) A heat balance is established to relate the particle temperature to the convective heat transfer at the particle surface. in which the heat transfer coefficient h is determined by m p C p dt p dt = ha p(t g T p ) (14) Nu = hd p k g = Re d 1/2 Pr 1/3 (15) The EulerLagrange approach is adopted in the numerical modeling. The fluid phase was treated as a continuum solving with the NavierStokes equations, while the dispersed phase was solved by tracking a large number of particles. The dispersed phase can exchange momentum and energy with the gas phase. The physical model is shown in Fig.1. The gas flows into a channel with a diameter of 6.8 μm, for which the Kn number is approximately at the value of The slip boundary was applied at the micro channel wall to consider the micro effect. Fig. 1 Geometry and boundary condition. 3
4 3. RESULTS AND DISCUSSION The velocity and temperature distributions of pure gas flow in the microchannel are shown in Fig. 2. The gas temperature decreases rapidly due to the small specific heat of gas and high surface areavolume ratio of the microchannel. Fig. 3 shows clearly that the velocity slip and temperature jump occur at the microchannel wall. And the gas flow velocity and temperature distribution varies as the slip boundaries are applied compared with those as the no slip boundaries are applied. Fig. 2 Velocity and temperature distributions in the pure gas flow. (a) Velocity (b) Tempertaure Fig. 3 Comparison of pure gas flow and heat transfer with/without slip boundaries. Figure 4 shows the velocity and temperature distributions of particle flow in the microchannel. The particle velocity distribution is similar to that of the gas phase. At the inlet, the particle distribution is influenced by the velocity distribution, and the particle will then move randomly due to the effects of drag, Brownian and lifting force. The particle temperature decreases rapidly as it is injected into the gas flow, which is similar to that of gas phase. Fig. 4 Velocity and temperature distributions in the particle flow. 4
5 Figure 5 shows that the gas velocity distribution varies obviously at X = 4 μm, for which the particles (diameter=0.01 μm) are injected into the gas flow. The temperature difference cannot be clearly observed in Fig. 5(b) as the particles are injected. It can be concluded that the injected particle has an obvious influence on the flow characteristic compared to that on the heat transfer process. (a) Velocity (b) Tempertaure Fig. 5 Comparison of gas velocity and temperature with/without particles. 4. CONCLUSIONS A numerical model was established to predict flow and heat transfer processes of gasparticle flow in the slip regime. The results show that the gas velocity slip and temperature jump occurs at the microchannel wall and the gas temperature decreases rapidly due to the small specific heat of gas and high surface areavolume ratio of the microchannel. As the particles are injected into the flow field, the gas velocity varies obviously but the heat transfer process variation cannot be observed clearly. The gasparticle fluid flow and heat transfer processes in the slip regime are influenced by the discontinuity at the microchannel wall and the interaction between particle and gas phase. ACKNOWLEDGMENT This work was supported by the National Natural Science Foundation of China through grant nos , & REFERENCE [1] A. Chaalane, R. Chemam, M. Houabes, R. Yahiaoui, A. Metatla, B. Ouari, N. Metatla, D. Mahi, A. Dkhissi, D. Esteve, A MEMSbased solid propellant microthruster array for space and military applications, in: 15th International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications, PowerMEMS 2015, December 1, December 4, 2015, Institute of Physics Publishing, Boston, MA, United states, 2015, pp [2] E. Jiaqiang, Q. Peng, X. Zhao, W. Zuo, Z. Zhang, M. Pham, Numerical investigation on the combustion characteristics of nonpremixed hydrogenair in a novel microcombustor, Applied Thermal Engineering, 110 (2017) [3] R.W. Barber, D.R. Emerson, Numerical Simulation of Low Reynolds Number Slip Flow Past a Confined Microsphere, AIP Conference Proceedings, 663(1) (2003) [4] P. Wang, X. Yao, H. Yang, M. Zhang, Impact of particle properties on gas solid flow in the whole circulating fluidized bed system, Powder Technology, 267 (2014) [5] R.W. Barber, Y. Sun, X.J. Gu, D.R. Emerson, Isothermal slip flow over curved surfaces, Vacuum, 76(1) (2004) [6] S.M.J. Hosseini, A.S. Goharrizi, B. Abolpour, Numerical study of aerosol particle deposition in simple and converging diverging microchannels with a slip boundary condition at the wall, Particuology, 13 (2014) [7] Z. Liu, J. Zhou, K. Hu, W. H., Numerical Simulation of Gaseous Flow around MicroSpherical Particle in the Slip Regime, in: The First International Workshop on Computational Particle Technology and Multiphase Processes, March 912, 2016, Suzhou, China, [8] Z. Liu, H. Wu, Porescale study on flow and heat transfer in 3D reconstructed porous media using microtomography images, Applied Thermal Engineering, 100 (2016)
RAREFACTION EFFECT ON FLUID FLOW THROUGH MICROCHANNEL
ISSN (Online) : 23198753 ISSN (Print) : 23476710 International Journal of Innovative Research in Science, Engineering and Technology An ISO 3297: 2007 Certified Organization, Volume 2, Special Issue
More informationResearch of MicroRectangularChannel Flow Based on Lattice Boltzmann Method
Research Journal of Applied Sciences, Engineering and Technology 6(14): 5055, 013 ISSN: 0407459; eissn: 0407467 Maxwell Scientific Organization, 013 Submitted: November 08, 01 Accepted: December 8,
More informationA NAVIERSTOKES MODEL INCORPORATING THE EFFECTS OF NEAR WALL MOLECULAR COLLISIONS WITH APPLICATIONS TO MICRO GAS FLOWS
Arlemark, E.J. and Dadzie, S.K. and Reese, J.M. (2008) A NavierStokes model incorporating the effects of nearwall molecular collisions with applications to micro gas flows. In: 1st European Conference
More informationBehaviour of microscale gas flows based on a powerlaw free path distribution function
Behaviour of microscale gas flows based on a powerlaw free path distribution function Nishanth Dongari, Yonghao Zhang and Jason M Reese Department of Mechanical Engineering, University of Strathclyde,
More informationA MICROBEARING GAS FLOW WITH DIFFERENT WALLS TEMPERATURES
Mili}ev, S. S., et al.: A Microbearing Gas Flow with Different Walls Temperatures THERMAL SCIENCE, Year 01, Vol. 16, No. 1, pp. 11913 119 A MICROBEARING GAS FLOW WITH DIFFERENT WALLS TEMPERATURES by Snežana
More informationNumerical Simulation of Low Reynolds Number Slip Flow Past a Confined Microsphere
Numerical Simulation of Low Reynolds Number Slip Flow Past a Confined Microsphere Robert W. Barber, and David R. Emerson CLRC Daresbury Laboratory, Daresbury, Warrington, Cheshire, WA4 4AD, UK Abstract.
More informationV (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)
IV. DIFFERENTIAL RELATIONS FOR A FLUID PARTICLE This chapter presents the development and application of the basic differential equations of fluid motion. Simplifications in the general equations and common
More informationOmid Ejtehadi Ehsan Roohi, Javad Abolfazli Esfahani. Department of Mechanical Engineering Ferdowsi university of Mashhad, Iran
Omid Ejtehadi Ehsan Roohi, Javad Abolfazli Esfahani Department of Mechanical Engineering Ferdowsi university of Mashhad, Iran Overview Micro/Nano Couette Flow DSMC Algorithm Code Validation Entropy and
More informationThreedimensional simulation of slipflow and heat transfer in a microchannel using the lattice Boltzmann method
75 Threedimensional simulation of slipflow and heat transfer in a microchannel using the lattice Boltzmann method A. C. M. Sousa,2, M. Hadavand & A. Nabovati 3 Department of Mechanical Engineering, University
More informationComputational model for particle deposition in turbulent gas flows for CFD codes
Advanced Computational Methods and Experiments in Heat Transfer XI 135 Computational model for particle deposition in turbulent gas flows for CFD codes M. C. Paz, J. Porteiro, A. Eirís & E. Suárez CFD
More informationNUMERICAL SIMULATION OF THREE DIMENSIONAL GASPARTICLE FLOW IN A SPIRAL CYCLONE
Applied Mathematics and Mechanics (English Edition), 2006, 27(2):247 253 c Editorial Committee of Appl. Math. Mech., ISSN 02534827 NUMERICAL SIMULATION OF THREE DIMENSIONAL GASPARTICLE FLOW IN A SPIRAL
More informationOn Continuum Models for Heat Transfer in Small Scale Porous Materials Professor Jinliang Yuan
On Continuum Models for Heat Transfer in Small Scale Porous Materials Professor Jinliang Yuan August 30, 2013 Department of Energy Sciences Lund University, Sweden Jinliang.yuan@energy.lth.se Why porous
More informationSubsonic choked flow in the microchannel
PHYSICS OF FLUIDS 18, 127104 2006 Subsonic choked flow in the microchannel Xie Chong a Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics of the Chinese Academy of Sciences, 15 West
More informationResearch Article. Slip flow and heat transfer through a rarefied nitrogen gas between two coaxial cylinders
Available online wwwjocprcom Journal of Chemical and Pharmaceutical Research, 216, 8(8):49551 Research Article ISSN : 9757384 CODEN(USA) : JCPRC5 Slip flow and heat transfer through a rarefied nitrogen
More informationFluid Mechanics Theory I
Fluid Mechanics Theory I Last Class: 1. Introduction 2. MicroTAS or Lab on a Chip 3. Microfluidics Length Scale 4. Fundamentals 5. Different Aspects of Microfluidcs Today s Contents: 1. Introduction to
More informationDEVELOPMENT OF A NUMERICAL APPROACH FOR SIMULATION OF SAND BLOWING AND CORE FORMATION
TMS (The Minerals, Metals & Materials Society), DEVELOPMENT OF A NUMERICAL APPROACH FOR SIMULATION OF SAND BLOWING AND CORE FORMATION G.F. Yao, C. W. Hirt, and
More informationTopics in Other Lectures Droplet Groups and Array Instability of Injected Liquid Liquid FuelFilms
Lecture Topics Transient Droplet Vaporization Convective Vaporization Liquid Circulation Transcritical Thermodynamics Droplet Drag and Motion Spray Computations Turbulence Effects Topics in Other Lectures
More informationFundamentals of Fluid Dynamics: Elementary Viscous Flow
Fundamentals of Fluid Dynamics: Elementary Viscous Flow Introductory Course on Multiphysics Modelling TOMASZ G. ZIELIŃSKI bluebox.ippt.pan.pl/ tzielins/ Institute of Fundamental Technological Research
More informationIntroduction to Aerodynamics. Dr. Guven Aerospace Engineer (P.hD)
Introduction to Aerodynamics Dr. Guven Aerospace Engineer (P.hD) Aerodynamic Forces All aerodynamic forces are generated wither through pressure distribution or a shear stress distribution on a body. The
More informationDifferential relations for fluid flow
Differential relations for fluid flow In this approach, we apply basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of a flow
More informationSimulation of Rarefied Gas Flow in Slip and Transitional Regimes by the Lattice Boltzmann Method
www.cfdl.issres.net Vol. 2 (2) June 2010 Simulation of Rarefied Gas Flow in Slip and Transitional Regimes by the Lattice Boltzmann Method N. Azwadi C. Sidik 1C, N.C. Horng 1, M.A. Mussa 2, and S. Abdullah
More informationTHE EFFECTS OF LONGITUDINAL RIBS ON ENTROPY GENERATION FOR LAMINAR FORCED CONVECTION IN A MICROCHANNEL
THE EFFECTS OF LONGITUDINAL RIBS ON ENTROPY GENERATION FOR LAMINAR FORCED CONVECTION IN A MICROCHANNEL Nader POURMAHMOUD, Hosseinali SOLTANIPOUR *1,, Iraj MIRZAEE Department of Mechanical Engineering,
More informationPARTICLE DISPERSION IN ENCLOSED SPACES USING A LAGRANGIAN MODEL
IV Journeys in Multiphase Flows (JEM 217) March 2731, 217, São Paulo, SP, Brazil Copyright 217 by ABCM Paper ID: JEM2174 PARTICLE DISPERSION IN ENCLOSED SPACES USING A LAGRANGIAN MODEL Ana María Mosquera
More informationMicroScale Gas Transport Modeling
MicroScale Gas Transport Modeling Continuum & Slip Flow Regimes: NavierStokes Equations Slip Boundary Conditions U g U w = ( σ ) σ U Kn n Slip, Transitional & Free Molecular: Direct Simulation Monte
More informationMODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM)
Reports Awarded with "Best Paper" Crystal Prize 17 FRI1.4171MEMBT05 MODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM) Rsc. Asst. İlkay Çolpan, BSc Department
More informationDSMCBased ShearStress/VelocitySlip Boundary Condition for NavierStokes CouetteFlow Simulations
DSMCBased ShearStress/VelocitySlip Boundary Condition for NavierStokes CouetteFlow Simulations J. R. Torczynski and M. A. Gallis Engineering Sciences Center, Sandia National Laboratories, P. O. Box
More informationModeling of dispersed phase by Lagrangian approach in Fluent
Lappeenranta University of Technology From the SelectedWorks of Kari Myöhänen 2008 Modeling of dispersed phase by Lagrangian approach in Fluent Kari Myöhänen Available at: https://works.bepress.com/kari_myohanen/5/
More informationRAREFIED GAS FLOW IN PRESSURE AND VACUUM MEASUREMENTS
XX IMEKO World Congress Metrology for Green Growth September 9 4, 202, Busan, Republic of Korea RAREFIED GAS FLOW IN PRESSURE AND VACUUM MEASUREMENTS A. Jeerasak Pitakarnnop National Institute of Metrology,
More informationThe Use of Lattice Boltzmann Numerical Scheme for Contaminant Removal from a Heated Cavity in Horizontal Channel
www.cfdl.issres.net Vol. 6 (3) September 2014 The Use of Lattice Boltzmann Numerical Scheme for Contaminant Removal from a Heated Cavity in Horizontal Channel Nor Azwadi Che Sidik C and Leila Jahanshaloo
More informationFluid dynamics for a vaporgas mixture derived from kinetic theory
IPAM Workshop II The Boltzmann Equation: DiPernaLions Plus 20 Years (IPAMUCLA, April 1517, 2009) Fluid dynamics for a vaporgas mixture derived from kinetic theory Kazuo Aoki Department of Mechanical
More informationDiffusion and Adsorption in porous media. Ali Ahmadpour Chemical Eng. Dept. Ferdowsi University of Mashhad
Diffusion and Adsorption in porous media Ali Ahmadpour Chemical Eng. Dept. Ferdowsi University of Mashhad Contents Introduction Devices used to Measure Diffusion in Porous Solids Modes of transport in
More informationThe influence of Knudsen number on the hydrodynamic development length within parallel plate microchannels
The influence of Knudsen number on the hydrodynamic development length within parallel plate microchannels R.W. Barber & D.R. Emerson CentreforMicrofluidics, CLRC Daresbuvy Laboratory, U.K. Abstract One
More informationA Momentum Exchangebased Immersed BoundaryLattice. Boltzmann Method for Fluid Structure Interaction
APCOM & ISCM 4 th December, 03, Singapore A Momentum Exchangebased Immersed BoundaryLattice Boltzmann Method for Fluid Structure Interaction Jianfei Yang,,3, Zhengdao Wang,,3, and *Yuehong Qian,,3,4
More informationDSMC Modeling of Rarefied Flow through Micro/Nano BackwardFacing Steps
DSMC Modeling of Rarefied Flow through Micro/Nano BackwardFacing Steps AmirMehran Mahdavi 1, Ehsan Roohi 2 1,2 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi university of Mashhad,
More informationCFD & Optimization. From very small to macroscopic: Random thoughts on the noslip condition. A. Bottaro, UNIGE & IMFT
From very small to macroscopic: Random thoughts on the noslip condition A. Bottaro, UNIGE & IMFT Life is not smooth, but anisotropic, multiscale, heterogeneous, rough, porous, flexible, etc. Life is not
More informationModeling Complex Flows! Direct Numerical Simulations! Computational Fluid Dynamics!
http://www.nd.edu/~gtryggva/cfdcourse/! Modeling Complex Flows! Grétar Tryggvason! Spring 2011! Direct Numerical Simulations! In direct numerical simulations the full unsteady NavierStokes equations
More informationarxiv: v1 [physics.fludyn] 14 Feb 2017
This draft was prepared using the LaTeX style file belonging to the Journal of Fluid Mechanics 1 arxiv:170.0410v1 [physics.fludyn] 14 Feb 017 A comment on An improved macroscale model for gas slip flow
More informationREGULARIZATION AND BOUNDARY CONDITIONS FOR THE 13 MOMENT EQUATIONS
1 REGULARIZATION AND BOUNDARY CONDITIONS FOR THE 13 MOMENT EQUATIONS HENNING STRUCHTRUP ETH Zürich, Department of Materials, Polymer Physics, CH8093 Zürich, Switzerland (on leave from University of Victoria,
More informationParticle Dynamics: Brownian Diffusion
Particle Dynamics: Brownian Diffusion Prof. Sotiris E. Pratsinis Particle Technology Laboratory Department of Mechanical and Process Engineering, ETH Zürich, Switzerland www.ptl.ethz.ch 1 or or or or nucleation
More informationNONDARCY POROUS MEDIA FLOW IN NOSLIP AND SLIP REGIMES
THERMAL SCIENCE, Year 2012, Vol. 16, No. 1, pp. 167176 167 NONDARCY POROUS MEDIA FLOW IN NOSLIP AND SLIP REGIMES by Antonio F. MIGUEL Geophysics Centre of Evora & Department of Physics, University of
More informationA wallfunction approach to incorporating Knudsenlayer effects in gas micro flow simulations
A wallfunction approach to incorporating Knudsenlayer effects in gas micro flow simulations D. A. Lockerby 1, J. M. Reese 2 and M. A. Gallis 3 1 Department of Mechanical Engineering, King s College London,
More informationNumerical Heat and Mass Transfer
Master Degree in Mechanical Engineering Numerical Heat and Mass Transfer 15Convective Heat Transfer Fausto Arpino f.arpino@unicas.it Introduction In conduction problems the convection entered the analysis
More informationTAU Extensions for High Enthalpy Flows. Sebastian Karl ASRF
TAU Extensions for High Enthalpy Flows Sebastian Karl ASRF Contents Motivation Extensions available in the current release: Numerical schemes for super and hypersonic flow fields Models for gas mixtures,
More informationNumerical Investigation of Thermal Performance in Cross Flow Around Square Array of Circular Cylinders
Numerical Investigation of Thermal Performance in Cross Flow Around Square Array of Circular Cylinders A. Jugal M. Panchal, B. A M Lakdawala 2 A. M. Tech student, Mechanical Engineering Department, Institute
More informationOptimization of flue gas turbulent heat transfer with condensation in a tube
Article Calorifics July 011 Vol.56 No.19: 1978 1984 doi: 10.1007/s1143401145339 SPECIAL TOPICS: Optimization of flue gas turbulent heat transfer with condensation in a tube SONG WeiMing, MENG JiAn &
More informationThe velocity boundary condition at solid walls in rarefied gas simulations. Abstract
APS/123QED The velocity boundary condition at solid walls in rarefied gas simulations Duncan A. Lockerby Department of Mechanical Engineering, King s College London, London WC2R 2LS, UK Jason M. Reese
More informationDiscrete Boltzmann Method with MaxwellType Boundary Condition for Slip Flow
Commun. Theor. Phys. 69 (208) 77 85 Vol. 69, No., January, 208 Discrete Boltzmann Method with MaxwellType Boundary Condition for Slip Flow YuDong Zhang ( 张玉东 ),,2 AiGuo Xu ( 许爱国 ),,3, GuangCai Zhang
More informationStefan Stefanov Bulgarian Academy of Science, Bulgaria Ali AmiriJaghargh Ehsan Roohi Hamid Niazmand Ferdowsi University of Mashhad, Iran
Stefan Stefanov Bulgarian Academy of Science, Bulgaria Ali AmiriJaghargh Ehsan Roohi Hamid Niazmand Ferdowsi University of Mashhad, Iran Outlines: Introduction DSMC Collision Schemes Results Conclusion
More informationNicholas Cox, Pawel Drapala, and Bruce F. Finlayson Department of Chemical Engineering, University of Washington, Seattle, WA, USA.
Transport Limitations in Thermal Diffusion Nicholas Cox, Pawel Drapala, and Bruce F. Finlayson Department of Chemical Engineering, University of Washington, Seattle, WA, USA Abstract Numerical simulations
More informationNANOPARTICLE COAGULATION AND DISPERSION IN A TURBULENT PLANAR JET WITH CONSTRAINTS
THERMAL SCIENCE, Year 2012, Vol. 16, No. 5, pp. 14971501 1497 NANOPARTICLE COAGULATION AND DISPERSION IN A TURBULENT PLANAR JET WITH CONSTRAINTS by ChengXu TU a,b * and Song LIU a a Department of Mechanics,
More informationStatistical Mechanics of Active Matter
Statistical Mechanics of Active Matter Umberto Marini Bettolo Marconi University of Camerino, Italy Naples, 24 May,2017 Umberto Marini Bettolo Marconi (2017) Statistical Mechanics of Active Matter 2017
More informationEntropy generation and transport
Chapter 7 Entropy generation and transport 7.1 Convective form of the Gibbs equation In this chapter we will address two questions. 1) How is Gibbs equation related to the energy conservation equation?
More informationChapter 5. The Differential Forms of the Fundamental Laws
Chapter 5 The Differential Forms of the Fundamental Laws 1 5.1 Introduction Two primary methods in deriving the differential forms of fundamental laws: Gauss s Theorem: Allows area integrals of the equations
More informationreported that the available simple contact conductance model was expressed as [5][6]: h sum = h solid + h fluid (1) Where h sum, h solid and h fluid a
Multiphysics Simulation of Conjugated Heat Transfer and Electric Field on Application of Electrostatic Chucks (ESCs) Using 3D2D Model Coupling KuoChan Hsu 1, ChihHung Li 1, JawYen Yang 1,2*, JianZhang
More informationBoundary velocity slip of pressure driven liquid flow in a micron pipe
Article Engineering Thermophysics May 011 Vol.56 No.15: 1603 1610 doi: 10.1007/s114340104188y SPECIAL TOPICS: Boundary velocity slip of pressure driven liquid flow in a micron pipe ZHOU JianFeng *,
More informationMIXED CONVECTION SLIP FLOW WITH TEMPERATURE JUMP ALONG A MOVING PLATE IN PRESENCE OF FREE STREAM
THERMAL SCIENCE, Year 015, Vol. 19, No. 1, pp. 11918 119 MIXED CONVECTION SLIP FLOW WITH TEMPERATURE JUMP ALONG A MOVING PLATE IN PRESENCE OF FREE STREAM by Gurminder SINGH *a and Oluwole Daniel MAKINDE
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 informationfluid mechanics as a prominent discipline of application for numerical
1. fluid mechanics as a prominent discipline of application for numerical simulations: experimental fluid mechanics: wind tunnel studies, laser Doppler anemometry, hot wire techniques,... theoretical fluid
More informationStrategy in modelling irregular shaped particle behaviour in confined turbulent flows
Title Strategy in modelling irregular shaped particle behaviour in confined turbulent flows M. Sommerfeld F L Mechanische Verfahrenstechnik Zentrum Ingenieurwissenschaften 699 Halle (Saale), Germany wwwmvt.iw.unihalle.de
More informationResearch Article SlipFlow and Heat Transfer in a Porous Microchannel Saturated with PowerLaw Fluid
Fluids Volume 23, Article ID 64893, 9 pages http://dx.doi.org/.55/23/64893 Research Article SlipFlow and Heat Transfer in a Porous Microchannel Saturated with PowerLaw Fluid azan Taamneh and Reyad Omari
More information( ) Notes. Fluid mechanics. Inviscid Euler model. Lagrangian viewpoint. " = " x,t,#, #
Notes Assignment 4 due today (when I check email tomorrow morning) Don t be afraid to make assumptions, approximate quantities, In particular, method for computing time step bound (look at max eigenvalue
More informationLecture 2: Hydrodynamics at milli micrometer scale
1 at milli micrometer scale Introduction Flows at milli and micro meter scales are found in various fields, used for several processes and open up possibilities for new applications: Injection Engineering
More informationMicrofluidics 1 Basics, Laminar flow, shear and flow profiles
MT0.6081 Microfluidics and BioMEMS Microfluidics 1 Basics, Laminar flow, shear and flow profiles 11.1.2017 Ville Jokinen Outline of the next 3 weeks: Today: Microfluidics 1: Laminar flow, flow profiles,
More informationTable of Contents. Preface... xiii
Preface... xiii PART I. ELEMENTS IN FLUID MECHANICS... 1 Chapter 1. Local Equations of Fluid Mechanics... 3 1.1. Forces, stress tensor, and pressure... 4 1.2. Navier Stokes equations in Cartesian coordinates...
More informationMesoscale fluid simulation of colloidal systems
Mesoscale fluid simulation of colloidal systems Mingcheng Yang Institute of Physics, CAS Outline (I) Background (II) Simulation method (III) Applications and examples (IV) Summary Background Soft matter
More informationFluidParticles Interaction Models Asymptotics, Theory and Numerics I
FluidParticles Interaction Models Asymptotics, Theory and Numerics I J. A. Carrillo collaborators: T. Goudon (Lille), P. Lafitte (Lille) and F. Vecil (UAB) (CPDE 2005), (JCP, 2008), (JSC, 2008) ICREA
More informationDISCHARGE COEFFICIENT OF SMALL SONIC NOZZLES
THERMAL SCIENCE, Year 2014, Vol. 18, No. 5, pp. 15051510 1505 Introduction DISCHARGE COEFFICIENT OF SMALL SONIC NOZZLES by ZhaoQin YIN *, DongSheng LI, JinLong MENG, and Ming LOU Zhejiang Province
More informationMonte Carlo simulations of dense gas flow and heat transfer in micro and nanochannels
Science in China Ser. E Engineering & Materials Science 2005 Vol.48 No.3 317 325 317 Monte Carlo simulations of dense gas flow and heat transfer in micro and nanochannels WANG Moran & LI Zhixin Department
More informationViscous Fluids. Amanda Meier. December 14th, 2011
Viscous Fluids Amanda Meier December 14th, 2011 Abstract Fluids are represented by continuous media described by mass density, velocity and pressure. An Eulerian description of uids focuses on the transport
More information1 Continuum Models Some History and Background Added Value of Continuum Equations... 6
Re g u la riz a tio n o f Gra d s 1 3 Mo m e ntequ a tio n s in K in e tic Ga s Th e o ry Manuel Torrilhon Department of Mathematics & Center for Computational Engineering Science RWTH Aachen University
More informationNumerical Simulation of Elongated Fibres in Horizontal Channel Flow
MartinLutherUniversität HalleWittenberg Mechanische Verfahrenstechnik 4th Workshop on TwoPhase Flow Predictions Halle, 70 September 05 Numerical Simulation of Elongated Fibres in Horizontal Channel
More informationContribution to the gas flow and heat transfer modelling in microchannels
Applied and Computational Mechanics 3 (2009) 63 74 Contribution to the gas flow and heat transfer modelling in microchannels H. Klášterka a,, J. Vimmr b,m.hajžman b a Faculty of Mechanical Engineering,
More informationGaseous Slip Flow in ThreeDimensional Uniform Rectangular Microchannel
Gaseous Slip Flow in ThreeDimensional Uniform Rectangular Microchannel Khaleel Khasawneh, Hongli Liu and Chunpei Cai Department of Mechanical and Aerospace Engineering, New Mexico State University, Las
More informationDIRECT NUMERICAL SIMULATION OF LIQUID SOLID FLOW
DIRECT NUMERICAL SIMULATION OF LIQUID SOLID FLOW http://www.aem.umn.edu/solidliquid_flows Sponsored by NSFGrand Challenge Grant Fluid Mechanics & CFD Computer Scientists D.D. Joseph Y. Saad R. Glowinski
More information7 The NavierStokes Equations
18.354/12.27 Spring 214 7 The NavierStokes Equations In the previous section, we have seen how one can deduce the general structure of hydrodynamic equations from purely macroscopic considerations and
More informationGetting started: CFD notation
PDE of pth order Getting started: CFD notation f ( u,x, t, u x 1,..., u x n, u, 2 u x 1 x 2,..., p u p ) = 0 scalar unknowns u = u(x, t), x R n, t R, n = 1,2,3 vector unknowns v = v(x, t), v R m, m =
More informationPREDICTING DPF PERFORMANCE BASED ON 3D MICROSCOPIC STRUCTURE FROM CT SCAN
2016 CLEERS PREDICTING DPF PERFORMANCE BASED ON 3D MICROSCOPIC STRUCTURE FROM CT SCAN Yujun Wang 1, Paul Folino 2, Carl J. Kamp 2, Rakesh K. Singh 1, Amin Saeid 1, Bachir Kharraja 1, Victor W. Wong 2
More informationNUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A CAPILLARY TUBE
Proceedings of the Asian Conference on Thermal Sciences 2017, 1st ACTS March 2630, 2017, Jeju Island, Korea ACTSP00786 NUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A
More informationRevisit to Grad s Closure and Development of Physically Motivated Closure for Phenomenological HighOrder Moment Model
Revisit to Grad s Closure and Development of Physically Motivated Closure for Phenomenological HighOrder Moment Model R. S. Myong a and S. P. Nagdewe a a Dept. of Mechanical and Aerospace Engineering
More informationEmergence of collective dynamics in active biological systems  Swimming microorganisms 
12/08/2015, YITP, Kyoto Emergence of collective dynamics in active biological systems  Swimming microorganisms  Norihiro Oyama John J. Molina Ryoichi Yamamoto* Department of Chemical Engineering,
More informationSIMULATION OF GAS FLOW OVER MICROSCALE AIRFOILS USING A HYBRID CONTINUUMPARTICLE APPROACH
33rd AIAA Fluid Dynamics Conference and Exhibit 36 June 3, Orlando, Florida AIAA 344 33 rd AIAA Fluid Dynamics Conference and Exhibit / Orlando, Florida / 36 Jun 3 SIMULATION OF GAS FLOW OVER MICROSCALE
More informationINTRODUCTION TO CATALYTIC COMBUSTION
INTRODUCTION TO CATALYTIC COMBUSTION R.E. Hayes Professor of Chemical Engineering Department of Chemical and Materials Engineering University of Alberta, Canada and S.T. Kolaczkowski Professor of Chemical
More informationProgress Report on Chamber Dynamics and Clearing
Progress Report on Chamber Dynamics and Clearing Farrokh Najmabadi, Rene Raffray, Mark S. Tillack, John Pulsifer, Zoran Dragovlovic (UCSD) Ahmed Hassanein (ANL) LaserIFE Program Workshop May31June 1,
More informationAmirMehran Mahdavi 1, Nam T.P. Le 1, Ehsan Roohi 1,*, Craig White 2
Thermal rarefied gas flow investigations through micro/nano backwardfacing step: Comparison of DSMC and CFD subject to hybrid slip and jump boundary conditions AmirMehran Mahdavi 1, Nam T.P. Le 1, Ehsan
More informationSimulation of Tjunction using LBM and VOF ENERGY 224 Final Project Yifan Wang,
Simulation of Tjunction using LBM and VOF ENERGY 224 Final Project Yifan Wang, yfwang09@stanford.edu 1. Problem setting In this project, we present a benchmark simulation for segmented flows, which contain
More informationComparison of Heat and Mass Transport at the MicroScale
Comparison of Heat and Mass Transport at the MicroScale E. Holzbecher, S. Oehlmann GeorgAugust Univ. Göttingen *Goldschmidtstr. 3, 37077 Göttingen, GERMANY, eholzbe@gwdg.de Abstract: Phenomena of heat
More informationTutorial School on Fluid Dynamics: Aspects of Turbulence Session I: Refresher Material Instructor: James Wallace
Tutorial School on Fluid Dynamics: Aspects of Turbulence Session I: Refresher Material Instructor: James Wallace Adapted from Publisher: John S. Wiley & Sons 2002 Center for Scientific Computation and
More informationSilica deposition in superheated geothermal systems
PROCEEDINGS, 43rd Workshop on Geothermal Reservoir Engineering Stanford University, Stanford, California, February 114, 018 SGPTR13 Silica deposition in superheated geothermal systems Vijay Chauhan,
More informationCFD Analysis of Forced Convection Flow and Heat Transfer in SemiCircular CrossSectioned MicroChannel
CFD Analysis of Forced Convection Flow and Heat Transfer in SemiCircular CrossSectioned MicroChannel *1 Hüseyin Kaya, 2 Kamil Arslan 1 Bartın University, Mechanical Engineering Department, Bartın, Turkey
More informationWall Effects in Convective Heat Transfer from a Sphere to Power Law Fluids in Tubes
Excerpt from the Proceedings of the COMSOL Conference 9 Boston Wall Effects in Convective Heat Transfer from a Sphere to Power Law Fluids in Tubes Daoyun Song *1, Rakesh K. Gupta 1 and Rajendra P. Chhabra
More informationVelocity Slip and Temperature Jump in Hypersonic Aerothermodynamics
5th AIAA Aerospace Sciences Meeting and Exhibit  January 7, Reno, Nevada AIAA 7 Velocity Slip and Temperature Jump in Hypersonic Aerothermodynamics Andrew J. Lofthouse, Leonard C. Scalabrin and Iain
More informationTurbulentlike Quantitative Analysis on Energy Dissipation in Vibrated Granular Media
Copyright 011 Tech Science Press CMES, vol.71, no., pp.149155, 011 Turbulentlike Quantitative Analysis on Energy Dissipation in Vibrated Granular Media Zhi Yuan Cui 1, Jiu Hui Wu 1 and Di Chen Li 1 Abstract:
More informationMIGRATE Summer School  June 2728, 2016 University of Strasbourg
MIGRATE Summer School  June 2728, 2016 University of Strasbourg DAY 1  June 27 th, 2016 9:00 Introduction to the 1 st MIGRATE Summer School Industrial and Application aspects: I&A Session 9:30 Lessons
More informationLecture 12. Droplet Combustion Spray Modeling. Moshe Matalon
Lecture 12 Droplet Combustion Spray Modeling Spray combustion: Many practical applications liquid fuel is injected into the combustion chamber resulting in fuel spray. Spray combustion involves many physical
More informationA Methodology for Microchannel Heat Sink Design Based on Topology Optimization
2 nd International Conference on Engineering Optimization September 69, 2010, Lisbon, Portugal A Methodology for Microchannel Heat Sink Design Based on opology Optimization Cícero R. de Lima 1, Adriano
More informationWhy Should We Be Interested in Hydrodynamics?
Why Should We Be Interested in Hydrodynamics? LiShi Luo Department of Mathematics and Statistics Center for Computational Sciences Old Dominion University, Norfolk, Virginia 23529, USA Email: lluo@odu.edu
More informationNUMERICAL SIMULATION OF TRANSIENT SLURRYCAVITATED MULTIPHASE FLOWS
ISTP1, 005, PRAGUE 1 TH INTERNATIONAL SYMPOSIUM ON TRANSPO PHENOMENA NUMERICAL SIMULATION OF TRANSIENT SLURRYCAVITATED MULTIPHASE FLOWS YangYao Niu and YeeMing Lin Institute of Mechanical and Aerospace
More informationNumerical Simulation of Microwave Plasma Thruster Flow
Numerical Simulation of Microwave Plasma Thruster Flow IEPC2007211 Presented at the 30 th International Electric Propulsion Conference, Florence, Italy September 1720, 2007 Maolin Chen *, Mao Genwang,
More informationNumerical Simulation of the Rarefied Gas Flow through a Short Channel into a Vacuum
Numerical Simulation of the Rarefied Gas Flow through a Short Channel into a Vacuum Oleg Sazhin Ural State University, Lenin av.5, 6283 Ekaterinburg, Russia Email: oleg.sazhin@uralmail.com Abstract. The
More informationNUMERICAL PREDICTIONS OF DEPOSTION WITH A PARTICLE CLOUD TRACKING TECHNIQUE
Committed Individuals Solving Challenging Problems NUMERICAL PREDICTIONS OF DEPOSTION WITH A PARTICLE CLOUD TRACKING TECHNIQUE by James R. Valentine Reaction Engineering International Philip J. Smith Department
More information