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Integral Transform Method for a Porous Slider with Magnetic Field and velocity slip

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Computer Modeling in Engineering & Sciences 2020年第3期122卷 1099-1118页

作者： Naeem Faraz Yasir Khan Amna Anjum Anwar Hussain International Cultural Exchange School(ICES) Donghua UniversityShanghaiChina. Department of Mathematics University of Hafr Al-BatinHafar Al-BatinSaudi Arabia. DBS&HCEME National University of Science and TechnologyIslamabadPakistan.

Current research is about the injection of a viscous fluid in the presence of a transverse uniform magnetic field to reduce the sliding *** is a slip-on both the slider and the ground in the two cases,for example,a long porous slider and a circular porous *** utilizing similarity transformation Navier-Stokes equations are converted into coupled equations which are tackled by Integral Transform *** are obtained for different values of Reynolds numbers,velocity slip,and magnetic *** found that surface slip and Reynolds number has a substantial influence on the lift and drag of long and circular sliders,whereas the magnetic effect is also noticeable.

关键词： Porous slider MHD flow Reynolds number velocity slip integral transform method.

Lattice Boltzmann Method for Simulating the Temperature Jump and velocity slip in Microchannels

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Communications in Computational Physics 2007年第6期2卷 1125-1138页

作者： Lin Zheng Bao-Chang Shi Zhen-Hua Chai Department of Mathematics Huazhong University of Science and TechnologyWuhan 430074China State Key Laboratory of Coal Combustion Huazhong University of Science and TechnologyWuhan 430074China.

The velocity slip and temperature jump in micro-Couette flow are investigated with the lattice Boltzmann method(LBM).A new slip boundary condition with the non-equilibrium extrapolation scheme is used in a thermal lattice Boltzmann model(TLBM)where double distribution functions are used to simulate the velocity and the temperature fields in order to capture the velocity slip and the temperature jump of the wall *** simulated velocity and temperature profiles are in good agreement with the analytic results,which shows the suitability of the present model and the new boundary treatment for describing thermal microflows with viscous heat dissipation.

关键词： Lattice Boltzmann velocity slip temperature jump.

Effects of velocity and thermal wall slip on magnetohydrodynamics(MHD)boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet:a numerical study

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Propulsion and Power Research 2018年第2期7卷 182-195页

作者： Dodda Ramya R.Srinivasa Raju J.Anand Rao A.J.Chamkha Department of Mathematics University College of ScienceOsmania UniversityHyderabad 500007Telangana StateIndia Department of Engineering Mathematics GITAM UniversityHyderabad CampusRudraram 502329Medak(Dt)Telangana StateIndia Mechanical Engineering Department Prince Mohammad Bin Fahd UniversityP.O.Box 1664Al-Khobar 31952Saudi Arabia

In this analysis,the boundary layer viscous flow of nanofluids and heat transfer over a non-linearly-stretching sheet in the presence of a magnetic field is *** and thermal slip conditions are considered instead of no slip conditions at the boundary.A similarity transformation set is used to transform the governing partial differential equations into non-linear ordinary differential *** reduced equations are solved numerically using the Keller box *** influence of the governing parameters on the dimensionless velocity,temperature,nanoparticle concentration as well as the skin friction coefficient,Nusselt number,and local Sherwood number are *** is found that as the velocity slip parameter increases,the velocity profile is decreased and the skin friction and heat transfer decreased while the mass transfer is *** the thermal slip parameter causes decreases in the heat and mass transfer *** results are presented in both graphical and tabular forms.

关键词： Magnetogydrodynamics(MHD) Nanofluid Non-linearly stretching sheet velocity slip Thermal slip

Effects of viscous dissipation and slip velocity on two-dimensional and axisymmetric squeezing flow of Cu-water and Cu-kerosene nanofluids

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Propulsion and Power Research 2015年第1期4卷 40-49页

作者： Umar Khan Naveed Ahmed Mir Asadullah Syed Tauseef Mohyud-din Department of Mathematics Faculty of SciencesHITEC UniversityTaxila CanttPakistan COMSATS Institute of Information Technology University RoadAbbottabadPakistan

Squeezing flow of nanofluids has been taken into account under the effects of viscous dissipation and velocity *** types of base fluids are used to study the behavior of Copper nanoparticles between parallel *** ordinary differential equations governing the flow are obtained by imposing similarity transformations on conservation *** equations are solved by using an efficient analytical technique the variation of parameters method(VPM).Influences of nanoparticle concentration and different emerging parameters on flow profiles are presented graphically coupled with comprehensive discussions.A numerical solution is also sought for the sake of *** of different parameters on skin friction coefficient and Nusselt number is also discussed.

关键词： Squeezing flow Nanofluids Variation of parameters method(VPM) velocity slip Numerical solution

Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

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Applied Mathematics and Mechanics(English Edition) 2015年第9期36卷 1131-1146页

作者： Jing ZHU Liu ZHENG Liancun ZHENG Xinxin ZHANG School of Mathematica and Physics University of Science and Technology Beijing School of Mechanical Engineering University of Science and Technology Beijing

The effects of the second-order velocity slip and temperature jump boundary conditions on the magnetohydrodynamic （MHD） flow and heat transfer in the presence of nanoparticle fractions are investigated. In the modeling of the water-based nanofluids containing Cu and A1203, the effects of the Brownian motion, thermophoresis, and thermal radiation are considered. The governing boundary layer equations are transformed into a system of nonlinear differential equations, and the analytical approximations of the solutions axe derived by the homotopy analysis method （HAM）. The reliability and efficiency of the HAM solutions are verified by the residual errors and the numerical results in the literature. Moreover, the effects of the physical factors on the flow and heat transfer are discussed graphically.

关键词： nanofluid velocity slip temperature jump homotopy analysis method(HAM) heat and mass transfer magnetohydrodynamic (MHD) flow

The effect of surface roughness on rarefied gas flows by lattice Boltzmann method

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Chinese Physics B 2008年第12期17卷 4554-4561页

作者：刘超峰倪玉山 Department of Mechanics and Engineering Science Fudan University

This paper studies the roughness effect combining with effects of rarefaction and compressibility by a lattice Boltzmann model for rarefied gas flows at high Knudsen numbers. By discussing the effect of the tangential momentum accommodation coefficient on the rough boundary condition, the lattice Boltzmann simulations of nitrogen and helium flows are performed in a two-dimensional microchannel with rough boundaries. The surface roughness effects in the microchannel on the velocity field, the mass flow rate and the friction coefficient are studied and analysed. Numerical results for the two gases in micro scale show different characteristics from macroscopic flows and demonstrate the feasibility of the lattice Boltzmann model in rarefied gas dynamics.

关键词： surface roughness lattice Boltzmann method rarefied gas flows velocity slip

Hydromagnetic thin film flow of Casson fluid in non-Darcy porous medium with Joule dissipation and Navier＇s partial slip

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Applied Mathematics and Mechanics(English Edition) 2017年第11期38卷 1613-1626页

作者： G.S.SETH R.TRIPATHI M.K.MISHRA Department of Applied Mathematics Indian Institute of Technology (India School of Mines) Dhanbad 826004 India

In this paper, the effects of viscous and Ohmic heating and heat genera- tion/absorption on magnetohydrodynamic flow of an electrically conducting Casson thin film fluid over an unsteady horizontal stretching sheet in a non-Darcy porous medium are investigated. The fluid is assumed to slip along the boundary of the sheet. Similar- ity transformation is used to translate the governing partial differential equations into ordinary differential equations. A shooting technique in conjunction with the 4th order Runge-Kutta method is used to solve the transformed equations. Computations are car- ried out for velocity and temperature of the fluid thin film along with local skin friction coefficient and local Nusselt number for a range of values of pertinent flow parameters. It is observed that the Casson parameter has the ability to enhance free surface velocity and film thickness, whereas the Forchheimer parameter, which, is responsible for the inertial drag has an adverse effect on the fluid velocity inside the film. The velocity slip along the boundary tends to decrease the fluid velocity. This investigation has various applications in engineering and in practical problems such as very large scale integration （VLSI） of electronic chips and film coating.

关键词： fluid thin film non-Darcy medium velocity slip unsteady stretching sheet,Joule dissipation heat generation/absorption

slip boundary conditions for rough surfaces

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Chinese Journal of Aeronautics 2023年第5期36卷 239-249页

作者： Hui WU Weifang CHEN Zhongzheng JIANG School of Aeronautics and Astronautics Zhejiang UniversityHangzhou 310027China

The velocity slip and temperature jump for a two-dimensional rough plate under hypersonic conditions were analyzed using the Direct Simulation Monte Carlo(DSMC)*** roughness was explicitly modeled by introducing various structures on the flat *** influences of relative roughness height,which involves the roughness height,roughness spacing,incoming velocity,and the degree of rarefaction,were analyzed and *** is found that with the increase of the relative roughness height,the jump temperature increases,while the slip velocity decreases *** effects of surface roughness on the slip coefficients can be attributed to the change of accommodation coefficients.A new slip model for rough surfaces was established in this paper,which accounts for the coupling effects of gas rarefaction and surface roughness,without the effort to model the surface roughness *** nitrogen flows in the microchannel,and flows over a blunt cone and an axisymmetric bi-conic body,were simulated under the modified and conventional slip boundary conditions,*** numerical solutions were validated with experimental *** can be safely concluded that compared with the traditional first-order slip boundary conditions,the modified slip model improves the accuracy of macroscopic properties,especially the heat transfer coefficient.

关键词： Direct Simulation Monte Carlo(DSMC) slip coefficients Surface roughness Temperature jump velocity slip

Non-Newtonian biomagnetic fluid flow through a stenosed bifurcated artery with a slip boundary condition

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Applied Mathematics and Mechanics(English Edition) 2020年第11期41卷 1611-1630页

作者： Yaxin XU Jing ZHU Liancun ZHENG Xinhui SI School of Mathematics and Physics University of Science and Technology BeijingBeijing 100083China

The effects of a velocity slip and an external magnetic field on the flow of biomagnetic fluid(blood)through a stenosed bifurcated artery are investigated by using ANSYS *** is regarded as a non-Newtonian power-law fluid,and the magnetization and electrical conductivity are considered in the mathematical *** no-slip condition is replaced by the first-order slip *** slip boundary condition and magnetic force are compiled in the solver by the user-defined function(UDF).Numerical solutions are obtained by the finite volume method based on a nonuniform grid *** accuracy and efficiency of the solver are verified through a comparison with the *** results are presented graphically for different parameter values,and the effects of the magnetic number,the magnetic source position,the vascular obstruction ratio,the slip parameter,and the power-law index on the flow and temperature fields are illustrated.

关键词： power-law fluid biomagnetic fluid magnetic field velocity slip stenosed bifurcated artery