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MHD flow and heat transfer of micropolar fluid between two porous disks

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Applied Mathematics and Mechanics(English Edition) 2012年第1期33卷 51-64页

作者： M. ASHRAF A. R. WEHGAL Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Department of Mathematics Stockholm University

A numerical study is carried out for the axisymmetric steady laminar incompressible flow of an electrically conducting micropolar fluid between two infinite parallel porous disks with the constant uniform injection through the surface of the disks. The fluid is subjected to an external transverse magnetic field. The governing nonlinear equations of motion are transformed into a dimensionless form through yon Karman＇s similarity transformation. An algorithm based on a finite difference scheme is used to solve the reduced coupled ordinary differential equations under associated boundary conditions. The effects of the Reynolds number, the magnetic parameter, the micropolar parameter, and the Prandtl number on the flow velocity and temperature distributions are discussed. The results agree well with those of the previously published work for special cases. The investigation predicts that the heat transfer rate at the surfaces of the disks increases with the increases in the Reynolds number, the magnetic parameter, and the Prandtl number. The shear stresses decrease with the increase in the injection while increase with the increase in the applied magnetic field. The shear stress factor is lower for micropolar fluids than for Newtonian fluids, which may be beneficial in the flow and thermal control in the polymeric processing.

关键词： MHD flow porous disk micropolar fluid heat transfer microrotation

Numerical and statistical approach for Casson-Maxwell nanofluid flow with Cattaneo-Christov theory

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Applied Mathematics and Mechanics(English Edition) 2021年第7期42卷 1063-1076页

作者： T.MUSHTAQ A.RAUF S.A.SHEHZAD F.MUSTAFA M.HANIF Z.ABBAS Department of Mathematics COMSATS University IslamabadVehari CampusVehari 61100Pakistan Department of Mathematics COMSATS University IslamabadSahiwal CampusSahiwal 57000Pakistan Department of Mathematics The Islamia University of BahawalpurBahawalpur 63100Pakistan

The rheological features of an incompressible axi-symmetric Casson-Maxwell nanofluid flow between two stationary disks are *** lower permeable disk is located at z=-a,while the upper disk is placed at z=*** the disks are porous and subjected to uniform *** fluid properties such as thermal conductivity vary with *** Cattaneo-Christov thermal expression is implemented along with the Buongiorno nanofluid *** operating the similarity functions,the reduced form of the fluid model in terms of ordinary differential equations is obtained and solved by the bvp4 c numerical *** physical quantities are demonstrated graphically on the velocity and temperature ***-dimensional flow arrangements and twodimensional contour patterns against several dimensionless variables are also *** numerical values of the local Nusselt and Sherwood numbers for various quantities are presented in tabular *** intensity of the linear relationship between the Nusselt and Sherwood numbers is assessed through Pearson’s product-moment correlation *** statistical implication of the linear association between variables is also examined by the t-test statistic approach.

关键词： Casson-Maxwell fluid porous disk Buongiorno theory variable thermal conductivity Cattaneo-Christov model uniform injection

Dynamics of bioconvection flow of micropolar nanoparticles with Cattaneo-Christov expressions

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Applied Mathematics and Mechanics(English Edition) 2020年第9期41卷 1333-1344页

作者： S.A.SHEHZAD T.MUSHTAQ Z.ABBAS A.RAUF S.U.KHAN I.TLILI Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics COMSATS University IslamabadVehari 61100Pakistan Department of Mathematics The Islamia University of BahawalpurBahawalpur 63100Pakistan Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam Faculty of Civil Engineering Duy Tan UniversityDa Nang 550000Vietnam

A numerical analysis is performed to analyze the bioconvective double diffusive micropolar non-Newtonian nanofluid flow caused by stationary porous *** consequences of the current flow problem are further extended by incorporating the Brownian and thermophoresis *** energy and mass species equations are developed by utilizing the Cattaneo and Christov model of heat-mass *** flow equations are converted into an ordinary differential model by employing the appropriate *** numerical solution is reported by using the MATLAB builtin bvp4c *** consequences of engineering parameters on the flow velocity,the concentration,the microorganisms,and the temperature profiles are evaluated *** numerical data for fascinating physical quantities,namely,the motile density number,the local Sherwood number,and the local Nusselt number,are calculated and executed against various parametric *** microrotation magnitude reduces for increasing magnetic *** intensity of the applied magnetic field may be utilized to reduce the angular rotation which occurs in the lubrication processes,especially in the suspension of *** the account of industrial applications,the constituted output can be useful to enhance the energy transport efficacy and microbial fuel cells.

关键词： bioconvection flow micropolar fluid nanoparticle Cattaneo-Christov theory porous disk

EXACT SOLUTIONS FOR MAGNETOHYDRODYNAMIC FLOW IN A ROTATING FLUID

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Acta Mechanica Sinica 2002年第3期18卷 244-251页

作者： S. Asghar Masood Khan A.M. Siddiqui T. Hayat Department of Mathematics Quaid-i-Azam University Islamabad Pakistan Department of Mathematics Pennsylvania State University York Campus 1031 Edgecomb Avenue New York PA 17403 USA

An analytical solution is obtained for the flow due to solid-body rotations an oscillating porous disk and of a fluid at infinity. Neglecting the induced magnetic field, the effects of the transversely applied magnetic field on the flow are studied. Further, the flow confined between two disks is also discussed. It is found that an infinite number of solutions exist for the flow confined between two disks.

关键词： rotating fluid porous disk double disks magnetohydrodynamic flow