NUMERICAL MODELING OF THE GAS-PARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP REGIME

Size: px
Start display at page:

Download "NUMERICAL MODELING OF THE GAS-PARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP REGIME"

Transcription

1 Proceedings of the Asian Conference on Thermal Sciences 2017, 1st ACTS March 26-30, 2017, Jeju Island, Korea ACTS-P00394 NUMERICAL MODELING OF THE GAS-PARTICLE 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 micro-scale gas-particle two-phase fluid plays an important role in the innovative micro devices, such as solid propellant micro thruster and micro combustor, etc. The micro-scale flow and heat transfer processes in gas-particle 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 gas-particle flow in the microchannel was established with the Euler-Lagrange method. The numerical simulation was carried out with the slip boundary applied at the channel wall. The micro-scale effect on the gas-particle 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 gas-particle fluid in the slip regime. KEYWORDS: Gas-particle fluid, Two-phase flow, Heat transfer, Slip regime, Numerical modeling 1. INTRODUCTION The transport characteristic of microscale gas-particle two-phase 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 gas-particle fluid have attracted more and more attentions in recent years due to its significant difference compared with that in the macro-scale 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 slip-velocity 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 Navier-Stokes 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 near-wall region is not valid any more (but the linear stress strain relationship is still valid). The no-slip boundary applied on the gas-solid 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 gas-particle two-phase 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 gas-particle 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 Navier-Stokes 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 non-continuum temperature and velocity phenomena. For the prediction of the flow and heat transfer of gas flow in the slip flow regime, the N-S 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 Euler-Lagrange approach is adopted in the numerical modeling. The fluid phase was treated as a continuum solving with the Navier-Stokes 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 area-volume 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 gas-particle 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 area-volume 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 gas-particle 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 MEMS-based 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 non-premixed hydrogen-air in a novel micro-combustor, 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 Micro-Spherical Particle in the Slip Regime, in: The First International Workshop on Computational Particle Technology and Multiphase Processes, March 9-12, 2016, Suzhou, China, [8] Z. Liu, H. Wu, Pore-scale study on flow and heat transfer in 3D reconstructed porous media using micro-tomography images, Applied Thermal Engineering, 100 (2016)

RAREFACTION EFFECT ON FLUID FLOW THROUGH MICROCHANNEL

RAREFACTION EFFECT ON FLUID FLOW THROUGH MICROCHANNEL ISSN (Online) : 2319-8753 ISSN (Print) : 2347-6710 International Journal of Innovative Research in Science, Engineering and Technology An ISO 3297: 2007 Certified Organization, Volume 2, Special Issue

More information

Research of Micro-Rectangular-Channel Flow Based on Lattice Boltzmann Method

Research of Micro-Rectangular-Channel Flow Based on Lattice Boltzmann Method Research Journal of Applied Sciences, Engineering and Technology 6(14): 50-55, 013 ISSN: 040-7459; e-issn: 040-7467 Maxwell Scientific Organization, 013 Submitted: November 08, 01 Accepted: December 8,

More information

A NAVIER-STOKES MODEL INCORPORATING THE EFFECTS OF NEAR- WALL MOLECULAR COLLISIONS WITH APPLICATIONS TO MICRO GAS FLOWS

A NAVIER-STOKES 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 Navier-Stokes model incorporating the effects of near-wall molecular collisions with applications to micro gas flows. In: 1st European Conference

More information

Behaviour of microscale gas flows based on a power-law free path distribution function

Behaviour of microscale gas flows based on a power-law free path distribution function Behaviour of microscale gas flows based on a power-law free path distribution function Nishanth Dongari, Yonghao Zhang and Jason M Reese Department of Mechanical Engineering, University of Strathclyde,

More information

A MICROBEARING GAS FLOW WITH DIFFERENT WALLS TEMPERATURES

A 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. 119-13 119 A MICROBEARING GAS FLOW WITH DIFFERENT WALLS TEMPERATURES by Snežana

More information

Numerical Simulation of Low Reynolds Number Slip Flow Past a Confined Microsphere

Numerical 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 information

V (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)

V (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 information

Omid 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 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 information

Three-dimensional simulation of slip-flow and heat transfer in a microchannel using the lattice Boltzmann method

Three-dimensional simulation of slip-flow and heat transfer in a microchannel using the lattice Boltzmann method 75 Three-dimensional simulation of slip-flow 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 information

Computational model for particle deposition in turbulent gas flows for CFD codes

Computational 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 information

NUMERICAL SIMULATION OF THREE DIMENSIONAL GAS-PARTICLE FLOW IN A SPIRAL CYCLONE

NUMERICAL SIMULATION OF THREE DIMENSIONAL GAS-PARTICLE FLOW IN A SPIRAL CYCLONE Applied Mathematics and Mechanics (English Edition), 2006, 27(2):247 253 c Editorial Committee of Appl. Math. Mech., ISSN 0253-4827 NUMERICAL SIMULATION OF THREE DIMENSIONAL GAS-PARTICLE FLOW IN A SPIRAL

More information

On 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 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 information

Subsonic choked flow in the microchannel

Subsonic 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 information

Research Article. Slip flow and heat transfer through a rarefied nitrogen gas between two coaxial cylinders

Research 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):495-51 Research Article ISSN : 975-7384 CODEN(USA) : JCPRC5 Slip flow and heat transfer through a rarefied nitrogen

More information

Fluid Mechanics Theory I

Fluid 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 information

DEVELOPMENT OF A NUMERICAL APPROACH FOR SIMULATION OF SAND BLOWING AND CORE FORMATION

DEVELOPMENT 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 information

Topics in Other Lectures Droplet Groups and Array Instability of Injected Liquid Liquid Fuel-Films

Topics in Other Lectures Droplet Groups and Array Instability of Injected Liquid Liquid Fuel-Films Lecture Topics Transient Droplet Vaporization Convective Vaporization Liquid Circulation Transcritical Thermodynamics Droplet Drag and Motion Spray Computations Turbulence Effects Topics in Other Lectures

More information

Fundamentals of Fluid Dynamics: Elementary Viscous Flow

Fundamentals 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 information

Introduction to Aerodynamics. Dr. Guven Aerospace Engineer (P.hD)

Introduction 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 information

Differential relations for fluid flow

Differential 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 information

Simulation of Rarefied Gas Flow in Slip and Transitional Regimes by the Lattice Boltzmann Method

Simulation 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 information

THE 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 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 information

PARTICLE DISPERSION IN ENCLOSED SPACES USING A LAGRANGIAN MODEL

PARTICLE DISPERSION IN ENCLOSED SPACES USING A LAGRANGIAN MODEL IV Journeys in Multiphase Flows (JEM 217) March 27-31, 217, São Paulo, SP, Brazil Copyright 217 by ABCM Paper ID: JEM-217-4 PARTICLE DISPERSION IN ENCLOSED SPACES USING A LAGRANGIAN MODEL Ana María Mosquera

More information

Micro-Scale Gas Transport Modeling

Micro-Scale Gas Transport Modeling Micro-Scale Gas Transport Modeling Continuum & Slip Flow Regimes: Navier-Stokes Equations Slip Boundary Conditions U g U w = ( σ ) σ U Kn n Slip, Transitional & Free Molecular: Direct Simulation Monte

More information

MODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM)

MODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM) Reports Awarded with "Best Paper" Crystal Prize 17 FRI-1.417-1-MEMBT-05 MODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM) Rsc. Asst. İlkay Çolpan, BSc Department

More information

DSMC-Based Shear-Stress/Velocity-Slip Boundary Condition for Navier-Stokes Couette-Flow Simulations

DSMC-Based Shear-Stress/Velocity-Slip Boundary Condition for Navier-Stokes Couette-Flow Simulations DSMC-Based Shear-Stress/Velocity-Slip Boundary Condition for Navier-Stokes Couette-Flow Simulations J. R. Torczynski and M. A. Gallis Engineering Sciences Center, Sandia National Laboratories, P. O. Box

More information

Modeling of dispersed phase by Lagrangian approach in Fluent

Modeling 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 information

RAREFIED GAS FLOW IN PRESSURE AND VACUUM MEASUREMENTS

RAREFIED 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 information

The Use of Lattice Boltzmann Numerical Scheme for Contaminant Removal from a Heated Cavity in Horizontal Channel

The 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 information

Fluid dynamics for a vapor-gas mixture derived from kinetic theory

Fluid dynamics for a vapor-gas mixture derived from kinetic theory IPAM Workshop II The Boltzmann Equation: DiPerna-Lions Plus 20 Years (IPAM-UCLA, April 15-17, 2009) Fluid dynamics for a vapor-gas mixture derived from kinetic theory Kazuo Aoki Department of Mechanical

More information

Diffusion 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 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 information

The influence of Knudsen number on the hydrodynamic development length within parallel plate micro-channels

The influence of Knudsen number on the hydrodynamic development length within parallel plate micro-channels The influence of Knudsen number on the hydrodynamic development length within parallel plate micro-channels R.W. Barber & D.R. Emerson CentreforMicrofluidics, CLRC Daresbuvy Laboratory, U.K. Abstract One

More information

A Momentum Exchange-based Immersed Boundary-Lattice. Boltzmann Method for Fluid Structure Interaction

A Momentum Exchange-based Immersed Boundary-Lattice. Boltzmann Method for Fluid Structure Interaction APCOM & ISCM -4 th December, 03, Singapore A Momentum Exchange-based Immersed Boundary-Lattice Boltzmann Method for Fluid Structure Interaction Jianfei Yang,,3, Zhengdao Wang,,3, and *Yuehong Qian,,3,4

More information

DSMC Modeling of Rarefied Flow through Micro/Nano Backward-Facing Steps

DSMC Modeling of Rarefied Flow through Micro/Nano Backward-Facing Steps DSMC Modeling of Rarefied Flow through Micro/Nano Backward-Facing Steps Amir-Mehran Mahdavi 1, Ehsan Roohi 2 1,2- Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi university of Mashhad,

More information

CFD & Optimization. From very small to macroscopic: Random thoughts on the no-slip condition. A. Bottaro, UNIGE & IMFT

CFD & Optimization. From very small to macroscopic: Random thoughts on the no-slip condition. A. Bottaro, UNIGE & IMFT From very small to macroscopic: Random thoughts on the no-slip condition A. Bottaro, UNIGE & IMFT Life is not smooth, but anisotropic, multiscale, heterogeneous, rough, porous, flexible, etc. Life is not

More information

Modeling Complex Flows! Direct Numerical Simulations! Computational Fluid Dynamics!

Modeling Complex Flows! Direct Numerical Simulations! Computational Fluid Dynamics! http://www.nd.edu/~gtryggva/cfd-course/! Modeling Complex Flows! Grétar Tryggvason! Spring 2011! Direct Numerical Simulations! In direct numerical simulations the full unsteady Navier-Stokes equations

More information

arxiv: v1 [physics.flu-dyn] 14 Feb 2017

arxiv: v1 [physics.flu-dyn] 14 Feb 2017 This draft was prepared using the LaTeX style file belonging to the Journal of Fluid Mechanics 1 arxiv:170.0410v1 [physics.flu-dyn] 14 Feb 017 A comment on An improved macroscale model for gas slip flow

More information

REGULARIZATION AND BOUNDARY CONDITIONS FOR THE 13 MOMENT EQUATIONS

REGULARIZATION 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, CH-8093 Zürich, Switzerland (on leave from University of Victoria,

More information

Particle Dynamics: Brownian Diffusion

Particle 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 information

NON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES

NON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES THERMAL SCIENCE, Year 2012, Vol. 16, No. 1, pp. 167-176 167 NON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES by Antonio F. MIGUEL Geophysics Centre of Evora & Department of Physics, University of

More information

A wall-function approach to incorporating Knudsen-layer effects in gas micro flow simulations

A wall-function approach to incorporating Knudsen-layer effects in gas micro flow simulations A wall-function approach to incorporating Knudsen-layer 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 information

Numerical Heat and Mass Transfer

Numerical Heat and Mass Transfer Master Degree in Mechanical Engineering Numerical Heat and Mass Transfer 15-Convective Heat Transfer Fausto Arpino f.arpino@unicas.it Introduction In conduction problems the convection entered the analysis

More information

TAU Extensions for High Enthalpy Flows. Sebastian Karl AS-RF

TAU Extensions for High Enthalpy Flows. Sebastian Karl AS-RF TAU Extensions for High Enthalpy Flows Sebastian Karl AS-RF Contents Motivation Extensions available in the current release: Numerical schemes for super- and hypersonic flow fields Models for gas mixtures,

More information

Numerical 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 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 information

Optimization of flue gas turbulent heat transfer with condensation in a tube

Optimization of flue gas turbulent heat transfer with condensation in a tube Article Calorifics July 011 Vol.56 No.19: 1978 1984 doi: 10.1007/s11434-011-4533-9 SPECIAL TOPICS: Optimization of flue gas turbulent heat transfer with condensation in a tube SONG WeiMing, MENG JiAn &

More information

The velocity boundary condition at solid walls in rarefied gas simulations. Abstract

The velocity boundary condition at solid walls in rarefied gas simulations. Abstract APS/123-QED 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 information

Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow

Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow Commun. Theor. Phys. 69 (208) 77 85 Vol. 69, No., January, 208 Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow Yu-Dong Zhang ( 张玉东 ),,2 Ai-Guo Xu ( 许爱国 ),,3, Guang-Cai Zhang

More information

Stefan Stefanov Bulgarian Academy of Science, Bulgaria Ali Amiri-Jaghargh Ehsan Roohi Hamid Niazmand Ferdowsi University of Mashhad, Iran

Stefan Stefanov Bulgarian Academy of Science, Bulgaria Ali Amiri-Jaghargh Ehsan Roohi Hamid Niazmand Ferdowsi University of Mashhad, Iran Stefan Stefanov Bulgarian Academy of Science, Bulgaria Ali Amiri-Jaghargh Ehsan Roohi Hamid Niazmand Ferdowsi University of Mashhad, Iran Outlines: Introduction DSMC Collision Schemes Results Conclusion

More information

Nicholas Cox, Pawel Drapala, and Bruce F. Finlayson Department of Chemical Engineering, University of Washington, Seattle, WA, USA.

Nicholas 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 information

NANOPARTICLE COAGULATION AND DISPERSION IN A TURBULENT PLANAR JET WITH CONSTRAINTS

NANOPARTICLE COAGULATION AND DISPERSION IN A TURBULENT PLANAR JET WITH CONSTRAINTS THERMAL SCIENCE, Year 2012, Vol. 16, No. 5, pp. 1497-1501 1497 NANOPARTICLE COAGULATION AND DISPERSION IN A TURBULENT PLANAR JET WITH CONSTRAINTS by Cheng-Xu TU a,b * and Song LIU a a Department of Mechanics,

More information

Statistical Mechanics of Active Matter

Statistical 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 information

Entropy generation and transport

Entropy 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 information

Chapter 5. The Differential Forms of the Fundamental Laws

Chapter 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 information

reported 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

reported 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 3D-2D Model Coupling Kuo-Chan Hsu 1, Chih-Hung Li 1, Jaw-Yen Yang 1,2*, Jian-Zhang

More information

Boundary velocity slip of pressure driven liquid flow in a micron pipe

Boundary 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/s11434-010-4188-y SPECIAL TOPICS: Boundary velocity slip of pressure driven liquid flow in a micron pipe ZHOU JianFeng *,

More information

MIXED CONVECTION SLIP FLOW WITH TEMPERATURE JUMP ALONG A MOVING PLATE IN PRESENCE OF FREE STREAM

MIXED CONVECTION SLIP FLOW WITH TEMPERATURE JUMP ALONG A MOVING PLATE IN PRESENCE OF FREE STREAM THERMAL SCIENCE, Year 015, Vol. 19, No. 1, pp. 119-18 119 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 information

Principles of Convection

Principles 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 information

fluid mechanics as a prominent discipline of application for numerical

fluid 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 information

Strategy in modelling irregular shaped particle behaviour in confined turbulent flows

Strategy 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 www-mvt.iw.uni-halle.de

More information

Research Article Slip-Flow and Heat Transfer in a Porous Microchannel Saturated with Power-Law Fluid

Research Article Slip-Flow and Heat Transfer in a Porous Microchannel Saturated with Power-Law Fluid Fluids Volume 23, Article ID 64893, 9 pages http://dx.doi.org/.55/23/64893 Research Article Slip-Flow and Heat Transfer in a Porous Microchannel Saturated with Power-Law Fluid azan Taamneh and Reyad Omari

More information

( ) Notes. Fluid mechanics. Inviscid Euler model. Lagrangian viewpoint. " = " x,t,#, #

( ) 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 information

Lecture 2: Hydrodynamics at milli micrometer scale

Lecture 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 information

Microfluidics 1 Basics, Laminar flow, shear and flow profiles

Microfluidics 1 Basics, Laminar flow, shear and flow profiles MT-0.6081 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 information

Table of Contents. Preface... xiii

Table 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 information

Mesoscale fluid simulation of colloidal systems

Mesoscale 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 information

Fluid-Particles Interaction Models Asymptotics, Theory and Numerics I

Fluid-Particles Interaction Models Asymptotics, Theory and Numerics I Fluid-Particles 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 information

DISCHARGE COEFFICIENT OF SMALL SONIC NOZZLES

DISCHARGE COEFFICIENT OF SMALL SONIC NOZZLES THERMAL SCIENCE, Year 2014, Vol. 18, No. 5, pp. 1505-1510 1505 Introduction DISCHARGE COEFFICIENT OF SMALL SONIC NOZZLES by Zhao-Qin YIN *, Dong-Sheng LI, Jin-Long MENG, and Ming LOU Zhejiang Province

More information

Monte Carlo simulations of dense gas flow and heat transfer in micro- and nano-channels

Monte Carlo simulations of dense gas flow and heat transfer in micro- and nano-channels 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 nano-channels WANG Moran & LI Zhixin Department

More information

Viscous Fluids. Amanda Meier. December 14th, 2011

Viscous 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 information

1 Continuum Models Some History and Background Added Value of Continuum Equations... 6

1 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 nt-equ 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 information

Numerical Simulation of Elongated Fibres in Horizontal Channel Flow

Numerical Simulation of Elongated Fibres in Horizontal Channel Flow Martin-Luther-Universität Halle-Wittenberg Mechanische Verfahrenstechnik 4th Workshop on Two-Phase Flow Predictions Halle, 7-0 September 05 Numerical Simulation of Elongated Fibres in Horizontal Channel

More information

Contribution to the gas flow and heat transfer modelling in microchannels

Contribution 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 information

Gaseous Slip Flow in Three-Dimensional Uniform Rectangular Microchannel

Gaseous Slip Flow in Three-Dimensional Uniform Rectangular Microchannel Gaseous Slip Flow in Three-Dimensional Uniform Rectangular Microchannel Khaleel Khasawneh, Hongli Liu and Chunpei Cai Department of Mechanical and Aerospace Engineering, New Mexico State University, Las

More information

DIRECT NUMERICAL SIMULATION OF LIQUID- SOLID FLOW

DIRECT NUMERICAL SIMULATION OF LIQUID- SOLID FLOW DIRECT NUMERICAL SIMULATION OF LIQUID- SOLID FLOW http://www.aem.umn.edu/solid-liquid_flows Sponsored by NSF-Grand Challenge Grant Fluid Mechanics & CFD Computer Scientists D.D. Joseph Y. Saad R. Glowinski

More information

7 The Navier-Stokes Equations

7 The Navier-Stokes Equations 18.354/12.27 Spring 214 7 The Navier-Stokes Equations In the previous section, we have seen how one can deduce the general structure of hydrodynamic equations from purely macroscopic considerations and

More information

Getting started: CFD notation

Getting started: CFD notation PDE of p-th 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 information

PREDICTING DPF PERFORMANCE BASED ON 3D MICROSCOPIC STRUCTURE FROM CT- SCAN

PREDICTING 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 information

NUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A CAPILLARY TUBE

NUMERICAL 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 26-30, 2017, Jeju Island, Korea ACTS-P00786 NUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A

More information

Revisit to Grad s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model

Revisit to Grad s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model Revisit to Grad s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model R. S. Myong a and S. P. Nagdewe a a Dept. of Mechanical and Aerospace Engineering

More information

Emergence of collective dynamics in active biological systems -- Swimming micro-organisms --

Emergence of collective dynamics in active biological systems -- Swimming micro-organisms -- 12/08/2015, YITP, Kyoto Emergence of collective dynamics in active biological systems -- Swimming micro-organisms -- Norihiro Oyama John J. Molina Ryoichi Yamamoto* Department of Chemical Engineering,

More information

SIMULATION OF GAS FLOW OVER MICRO-SCALE AIRFOILS USING A HYBRID CONTINUUM-PARTICLE APPROACH

SIMULATION OF GAS FLOW OVER MICRO-SCALE AIRFOILS USING A HYBRID CONTINUUM-PARTICLE APPROACH 33rd AIAA Fluid Dynamics Conference and Exhibit 3-6 June 3, Orlando, Florida AIAA 3-44 33 rd AIAA Fluid Dynamics Conference and Exhibit / Orlando, Florida / 3-6 Jun 3 SIMULATION OF GAS FLOW OVER MICRO-SCALE

More information

INTRODUCTION TO CATALYTIC COMBUSTION

INTRODUCTION 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 information

Progress Report on Chamber Dynamics and Clearing

Progress 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) Laser-IFE Program Workshop May31-June 1,

More information

Amir-Mehran Mahdavi 1, Nam T.P. Le 1, Ehsan Roohi 1,*, Craig White 2

Amir-Mehran Mahdavi 1, Nam T.P. Le 1, Ehsan Roohi 1,*, Craig White 2 Thermal rarefied gas flow investigations through micro/nano backward-facing step: Comparison of DSMC and CFD subject to hybrid slip and jump boundary conditions Amir-Mehran Mahdavi 1, Nam T.P. Le 1, Ehsan

More information

Simulation of T-junction using LBM and VOF ENERGY 224 Final Project Yifan Wang,

Simulation of T-junction using LBM and VOF ENERGY 224 Final Project Yifan Wang, Simulation of T-junction 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 information

Comparison of Heat and Mass Transport at the Micro-Scale

Comparison of Heat and Mass Transport at the Micro-Scale Comparison of Heat and Mass Transport at the Micro-Scale E. Holzbecher, S. Oehlmann Georg-August Univ. Göttingen *Goldschmidtstr. 3, 37077 Göttingen, GERMANY, eholzbe@gwdg.de Abstract: Phenomena of heat

More information

Tutorial 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 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 information

Silica deposition in superheated geothermal systems

Silica deposition in superheated geothermal systems PROCEEDINGS, 43rd Workshop on Geothermal Reservoir Engineering Stanford University, Stanford, California, February 1-14, 018 SGP-TR-13 Silica deposition in superheated geothermal systems Vijay Chauhan,

More information

CFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel

CFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel CFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel *1 Hüseyin Kaya, 2 Kamil Arslan 1 Bartın University, Mechanical Engineering Department, Bartın, Turkey

More information

Wall Effects in Convective Heat Transfer from a Sphere to Power Law Fluids in Tubes

Wall 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 information

Velocity Slip and Temperature Jump in Hypersonic Aerothermodynamics

Velocity 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 information

Turbulentlike Quantitative Analysis on Energy Dissipation in Vibrated Granular Media

Turbulentlike Quantitative Analysis on Energy Dissipation in Vibrated Granular Media Copyright 011 Tech Science Press CMES, vol.71, no., pp.149-155, 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 information

MIGRATE Summer School - June 27-28, 2016 University of Strasbourg

MIGRATE Summer School - June 27-28, 2016 University of Strasbourg MIGRATE Summer School - June 27-28, 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 information

Lecture 12. Droplet Combustion Spray Modeling. Moshe Matalon

Lecture 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 information

A Methodology for Microchannel Heat Sink Design Based on Topology Optimization

A Methodology for Microchannel Heat Sink Design Based on Topology Optimization 2 nd International Conference on Engineering Optimization September 6-9, 2010, Lisbon, Portugal A Methodology for Microchannel Heat Sink Design Based on opology Optimization Cícero R. de Lima 1, Adriano

More information

Why Should We Be Interested in Hydrodynamics?

Why Should We Be Interested in Hydrodynamics? Why Should We Be Interested in Hydrodynamics? Li-Shi Luo Department of Mathematics and Statistics Center for Computational Sciences Old Dominion University, Norfolk, Virginia 23529, USA Email: lluo@odu.edu

More information

NUMERICAL SIMULATION OF TRANSIENT SLURRY-CAVITATED MULTIPHASE FLOWS

NUMERICAL SIMULATION OF TRANSIENT SLURRY-CAVITATED MULTIPHASE FLOWS ISTP-1, 005, PRAGUE 1 TH INTERNATIONAL SYMPOSIUM ON TRANSPO PHENOMENA NUMERICAL SIMULATION OF TRANSIENT SLURRY-CAVITATED MULTIPHASE FLOWS Yang-Yao Niu and Yee-Ming Lin Institute of Mechanical and Aerospace

More information

Numerical Simulation of Microwave Plasma Thruster Flow

Numerical Simulation of Microwave Plasma Thruster Flow Numerical Simulation of Microwave Plasma Thruster Flow IEPC-2007-211 Presented at the 30 th International Electric Propulsion Conference, Florence, Italy September 17-20, 2007 Mao-lin Chen *, Mao Gen-wang,

More information

Numerical 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 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 E-mail: oleg.sazhin@uralmail.com Abstract. The

More information

NUMERICAL PREDICTIONS OF DEPOSTION WITH A PARTICLE CLOUD TRACKING TECHNIQUE

NUMERICAL 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