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Dynamics of sutterby fluid flow due to a spinning stretching disk with non-Fourier/Fick heat and mass flux models

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Applied Mathematics and Mechanics(English Edition) 2021年第9期42卷 1247-1258页

作者： F.MABOOD J.MACKOLIL B.MAHANTHEsH A.RAUF s.a.shehzad Department of Information Technology Fanshawe College LondonON N5Y 5R6Canada Department of Mathematics CHRIST(Deemed to be University)Bangalore 560029India Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan

The magnetohydrodynamic sutterby fluid flow instigated by a spinning stretchable disk is modeled in this *** stefan blowing and heat and mass flux aspects are incorporated in the thermal *** conventional models for heat and mass flux,i.e.,Fourier and Fick models,are modified using the Cattaneo-Christov(CC)model for the more accurate modeling of the *** boundary layer equations that govern this problem are solved using the apt similarity *** subsequent system of equations is tackled by the Runge-Kutta-Fehlberg(RKF)*** graphical visualizations of the results are discussed with the physical *** rates of mass and heat transmission are evaluated for the augmentation in the pertinent *** stefan blowing leads to more species diffusion which in turn increases the concentration field of the *** external magnetism is observed to decrease the velocity ***,more thermal relaxation leads to a lower thermal field which is due to the increased time required to transfer the heat among fluid *** heat transport is enhanced by the stretching of the rotating disk.

关键词： sutterby fluid stefan blowing Cattaneo-Christov(CC)theory magnetic field rotating stretching disk

Mixed convection flow of jeffrey nanofluid with thermal radiation and double stratification

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Journal of Hydrodynamics 2016年第5期28卷 840-849页

作者： F.M.ABBAsI s.a.shehzad T.HAYAT M.s.ALHUTHALI Department of Mathematics COMSATS Institute of Information Technology Islamabad Department of Mathematics Comsats Institute of Information Technology Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz University

This article addresses the two-dimensional laminar boundary layer flow of magnetohydrodynamic （MHD） Jeffrey nano- fluid with mixed convection. Effects of thermal radiation, thermophoresis, Brownian motion and double stratifications are taken into account. Rosseland＇s approximation is utilized for the thermal radiation phenomenon. Convergent series solutions of velocity, tempe- rature and nanoparticle concentration are developed. Graphs of dimensionless temperature and nanoparticle concentration are prese- nted to investigate the influences of different emerging parameters. The values of skin-friction coefficient, local Nusselt and sherwood numbers are computed and discussed for both Jeffrey and viscous fluids cases. We have observed that the temperature profile retarded for the larger values of Deborah number while an enhancement is noticed with the increasing values of ratio of relaxation to retardation times. Increasing values of thermal and nanoparticle concentration stratifications lead to a reduction in the temperature and nanoparticle concentration. The values of local Nusselt and sherwood numbers are larger for the viscous fluid case when compared with Jeffrey fluid.

关键词： MHD flow Jeffrey nanofluid double stratification thermal radiation mixed convection

MHD three-dimensional flow of Jeffrey fluid with Newtonian heating

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Journal of Central south University 2014年第4期21卷 1428-1433页

作者： s.a.shehzad T.Hayat M.s.Alhuthali s.Asghar Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of ScienceKing Abdulaziz University Department of Mathematics Comsats Institute of Information Technology

The magnetohydrodynamic(MHD) three-dimensional flow of Jeffrey fluid in the presence of Newtonian heating is investigated. Flow is caused by a bidirectional stretching surface. series solutions are constructed for the velocity and temperature fields. Convergence of series solutions is ensured graphically and numerically. The variations of key parameters on the physical quantities are shown and discussed in detail. Constructed series solutions are compared with the existing solutions in the limiting case and an excellent agreement is noticed. Nusselt numbers are computed with and without magnetic fields. It is observed that the Nusselt number decreases in the presence of magnetic field.

关键词： three-dimensional flow Jeffrey fluid Newtonian heating

Flow of Casson nanofluid with viscous dissipation and convective conditions: A mathematical model

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Journal of Central south University 2015年第3期22卷 1132-1140页

作者： T.HUssAIN s.a.shehzad A.ALsAEDI T.HAYAT M.RAMZAN Department of Mathematics Faculty of Computing Mohammad Ali Jinnah University Department of Mathematics Comsats Institute of Information Technology Department of Mathematics Faculty of Science King Abdulaziz University Department of Mathematics Quaid-i-Azam University

The magnetohydrodynamic(MHD) boundary layer flow of Casson fluid in the presence of nanoparticles is *** conditions of temperature and nanoparticle concentration are employed in the formulation. The flow is generated due to exponentially stretching surface. The governing boundary layer equations are reduced into the ordinary differential equations. series solutions are presented to analyze the velocity, temperature and nanoparticle concentration fields. Temperature and nanoparticle concentration fields decrease when the values of Casson parameter enhance. It is found that the Biot numbers arising due to thermal and concentration convective conditions yield an enhancement in the temperature and concentration fields. Further, we observed that both the thermal and nanoparticle concentration boundary layer thicknesses are higher for the larger values of thermophoresis parameter. The effects of Brownian motion parameter on the temperature and nanoparticle concentration are reverse.

关键词： nanoparticles Casson fluid concentration convective condition

3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux

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Applied Mathematics and Mechanics(English Edition) 2018年第5期39卷 623-638页

作者： V.NAGENDRAMMA C.s.K.RAJU B.MALLIKARJUNA s.a.shehzad A.LEELARATHNAM Department of Mathematics SPMVV University Department of Mathematics GITAM University Department of Mathematics BMS College of Engineering Department of Mathematics COMSATS Institute of Information Technology

A mathematical model is proposed to execute the features of the non-uniform heat source or sink in the chemically reacting magnetohydrodynamic （MHD） Casson fluid across a slendering sheet in the presence of microorganisms and Cattaneo-Christov heat flux. Multiple slips （diffusion, thermal, and momentum slips） are applied in the modeling of the heat and mass transport processes. The Runge-Kutta based shooting method is used to find the solutions. Numerical simulation is carried out for various values of the physical constraints when the Casson index parameter is positive, negative, or infinite with the aid of plots. The coefficients of the skin factors, the local Nusselt number, and the sherwood number are estimated for different parameters, and discussed for engineering interest. It is found that the gyrotactic microorganisms are greatly encouraged when the dimensionless parameters increase, especially when the Casson fluid parameter is negative. It is worth mentioning that th~ velocity profiles when the Casson fluid parameter is positive are higher than those when the Casson fluid parameter is negative or infinite, whereas the temperature and concentration fields show exactly opposite phenomena.

关键词： microorganisms multiple slip Casson fluid Cattaneo-Christov heat flux,slendering sheet

Transient flows of Maxwell fluid with slip conditions

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Applied Mathematics and Mechanics(English Edition) 2013年第2期34卷 153-166页

作者： T.HAYAT s.ZAIB s.AsGHAR K.BHATTACHARYYA s.a.shehzad Department of Mathematics Quaid-i-Azam University Department of Mathematics Comsats Institute of Information Technology Department of Mathematics University of Burdwan

Two fundamental flows, namely, the stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed for the development of such solutions. Limiting cases of no-slip and viscous fluids can be easily recovered from the present analysis. The behaviors of embedded flow parameters are discussed through graphs.

关键词： slip condition exact solution Maxwell fluid residue

Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface

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Applied Mathematics and Mechanics(English Edition) 2021年第7期42卷 1013-1028页

作者： H.B.LANJWANI M.s.CHANDIO M.I.ANWAR s.a.shehzad M.IZADI Department of Mathematics University of SindhJamshoro 76080Pakistan Department of Mathematics Engineering University SargodhaSargodha 40100Pakistan Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mechanical Engineering Faculty of EngineeringLorestan UniversityKhorramabad 68151-44316Iran

Time-dependent,two-dimensional(2 D)magnetohydrodynamic(MHD)micropolar nanomaterial flow over a shrinking/stretching surface near the stagnant point is *** and heat transfer characteristics are incorporated in the problem.A model of the partial differential expressions is altered into the forms of the ordinary differential equations via similarity *** obtained equations are numerically solved by a shooting scheme in the MAPLE *** solutions are observed at different values of the specified physical *** stability of first and second solutions is examined through the stability analysis *** analysis interprets that the first solution is stabilized and physically feasible while the second one is un-stable and not ***,the natures of various physical factors on the drag force,skin-friction factor,and rate of mass and heat transfer are determined and *** micropolar nanofluid velocity declines with a rise in the suction and magnetic parameters,whereas it increases by increasing the unsteadiness *** temperature of the micropolar nanofluid rises with increase in the Brownian motion,radiation,thermophoresis,unsteady and magnetic parameters,but it decreases against an increment in the thermal slip constraint and Prandtl *** concentration of nanoparticles reduces against the augmented schmidt number and Brownian movement values but rises for incremented thermophoresis parameter values.

关键词： dual solution stability analysis micropolar nanofluid magnetic field stretching/shrinking surface

Quadratic convective flow of radiated nano-Jeffrey liquid subject to multiple convective conditions and Cattaneo-Christov double diffusion

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Applied Mathematics and Mechanics(English Edition) 2018年第9期39卷 1311-1326页

作者： P.B.sAMPATH KUMAR B.MAHANTHEsH B.J.GIREEsHA s.a.shehzad Department of studies and Research in Mathematics Kuvempu University Department of Mathematics Christ University Department of Mathematics COMSATS Institute of Information Technology

A nonlinear flow of Jeffrey liquid with Cattaneo-Christov heat flux is investigated in the presence of nanoparticles. The features of thermophoretic and Brownian movement are retained. The effects of nonlinear radiation, magnetohydrodynamic(MHD), and convective conditions are accounted. The conversion of governing equations into ordinary differential equations is prepared via stretching transformations. The consequent equations are solved using the Runge-Kutta-Fehlberg(RKF) method. Impacts of physical constraints on the liquid velocity, the temperature, and the nanoparticle volume fraction are analyzed through graphical illustrations. It is established that the velocity of the liquid and its associated boundary layer width increase with the mixed convection parameter and the Deborah number.

关键词： nonlinear convection Jeffrey liquid nanoliquid convective condition thermophoretic Brownian motion

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