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Analysis of Melting Heat Transport in a Cross Flow Direction:A Comparative study

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Communications in Theoretical Physics 2018年第12期69卷 777-784页

作者： G.K.Ramesh s.a.shehzad Department of Mathematics K.L.E'S J.T.College Department of Mathematics COMSATS Institute of Information Technology

An incompressible three-dimensional laminar flow in a cross flow direction is described in this work. The term of melting and viscous dissipation is incorporated in the mathematical modeling of present flow problem. The flow expressions are converted into dimensionless equations, which are solved with help of Runge-Kutta scheme. Impact of the emerging parameters on the non-dimensional velocities and temperature and friction-factors and local Nusselt number are examined. The convergence analysis is found for ε sis is made between the obtained results and published data for limiting case. It is explored at the surface that the melting parameter retards the liquid temperature while it enhances the fluid velocity.

关键词： melting effect cross flow moving plate viscous heating numerical solution

Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel:a Darcy-Forchheimer model

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Applied Mathematics and Mechanics(English Edition) 2020年第5期41卷 699-710页

作者： G.K.RAMEsH s.a.shehzad I.TLILI Department of Mathematics K.L.E Society’s J.T.CollegeGadag 582101KarnatakaIndia Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department for Management of science and Technology Development Ton Duc Thang UniversityHo Chi Minh City 758307Vietnam Faculty of Applied sciences Ton Duc Thang UniversityHo Chi Minh City 758307Vietnam

The flow behavior in non-parallel walls is an important factor of any physical model including cavity flow and canals, which is applicable for diverging/converging channel. The present communication explains that the flow of the hybrid nanomaterial subjected to the convergent/divergent channel has non-parallel walls. It is assumed that the hybrid nanomaterial movement is in the porous region. A Darcy-Forchheimer medium of porosity is considered to interpret the porosity features. A useful similarity function is adopted to get the strong ordinary coupled equations. Numerical solutions are achieved through the Runge-Kutta-Fehlberg(RKF) fourth-fifth order method, and they are validated with the existing results. Physical nature of the involving constraints is reported with the help of plots. It is explored that the velocity of divergent channel decreases, and convergent channel enhances for the higher solid volume faction. Further, the presence of inertia coefficient and porosity parameter amplifies the velocity at the wall.

关键词： hybrid nanoliquid channel Darcy-Forchheimer flow stretching wall numerical solution

soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid

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Applied Mathematics and Mechanics(English Edition) 2012年第10期33卷 1301-1312页

作者： T.HAYAT s.a.shehzad A.ALsAEDI Department of Mathematics Quaid-I-Azam University Department of Mathematics Faculty of ScienceKing Abdulaziz University

This article studies the soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

关键词： soret and Dufour effects magnetohydrodynamic (MHD) flow Cassonfluid heat and mass transfer

Optimal treatment of stratified Carreau and Casson nanofluids flows in Darcy-Forchheimer porous space over porous matrix

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Applied Mathematics and Mechanics(English Edition) 2020年第11期41卷 1651-1670页

作者： R.KUMAR R.KUMAR s.a.shehzad A.J.CHAMKHA Department of Mathematics Central University of Himachal PradeshDharamshala 273001India Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam Institute of Theoretical and Applied Research(ITAR) Duy Tan UniversityHanoi 100000Vietnam

A comparative three-dimensional(3D)analysis for Casson-nanofluid and Carreau-nanofluid flows due to a flat body in a magnetohydrodynamic(MHD)stratified environment is *** is estimated to be suspended in a Darcy-Forchheimer *** and Dufour responses are also accommodated in the flow field.A moving(rotating)coordinate system is exercised to examine the bidirectionally stretched flow fields(flow,heat transfer,and mass transfer).Nanofluid is compounded by taking ethylene glycol/sodium alginate as base fluid and ferric-oxide(Fe3O4)as *** equations are handled by the application of optimal homotopy asymptotic method(OHAM),where convergence parameters are optimized through the classical least square *** novel mechanism(hidden physics)due to appearing parameters is explored with the assistance of tabular and graphical *** reveal the double behavior state for temperature field with thermal stratification/Dufour number,and for concentration field with soret number due to the presence of turning points.

关键词： thermal-solutal stratification soret-Dufour effect Casson-Carreau nanofluid model porous matrix

A revised Cattaneo-Christov micropolar viscoelastic nanofluid model with combined porosity and magnetic effects

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Applied Mathematics and Mechanics(English Edition) 2020年第3期41卷 521-532页

作者： s.a.shehzad s.U.KHAN Z.ABBAs A.RAUF Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics The Islamia University of BahawalpurBahawalpur 63100Pakistan

The dynamics of non-Newtonian fluids along with nanoparticles is quite interesting with numerous industrial applications. The current predominately predictive modeling deals with the flow of the viscoelastic micropolar fluid in the presence of nanoparticles. A progressive amendment in the heat and concentration equations is made by exploiting the Cattaneo-Christov(C-C) heat and mass flux expressions. Besides, the thermal radiation effects are contributed in the energy equation and aspect of the radiation parameter, and the Prandtl number is specified by the one-parameter *** formulated expressions are converted to the dimensionless forms by relevant similarity functions. The analytical solutions to these expressions have been erected by the homotopy analysis method. The variations in physical quantities, including the velocity,the temperature, the effective local Nusselt number, the concentration of nanoparticles,and the local sherwood number, have been observed under the influence of emerging parameters. The results have shown good accuracy compared with those of the existing literature.

关键词： micropolar viscoelastic fluid nanoparticle thermal radiation Cattaneo-Christov(C-C)theory porous medium

Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid

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Applied Mathematics and Mechanics(English Edition) 2017年第10期38卷 1347-1356页

作者： s.a.shehzad T.HAYAT A.ALsAEDI M.A.MERAJ Department of Mathematics COMSATS Institute of Information Technology Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of ScienceKing Abdulaziz University

This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is considered. The flow generation is due to the bidirectional stretching of sheet. The combined phenomenon of heat and mass transport is accounted. The Cattaneo-Christov model of heat and mass diffusion is used to develop the expressions of energy and mass species. The first-order chemical reaction term in the mass species equation is considered. The boundary layer assumptions lead to the governing mathematical model. The homotopic simulation is adopted to visualize the results of the dimensionless flow equations. The graphs of velocities, temperature, and concentration show the effects of different arising parameters. A numerical benchmark is presented to visualize the convergent values of the computed results. The results show that the concentration and temperature fields are decayed for the Cattaneo^Christov theory of heat and mass diffusion.

关键词： Cattaneo-Christov theory chemical reactive flow temperature-dependentconductivity Maxwell liquid

Numerically simulated behavior of radiative Fe_(3)O_(4) and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

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Applied Mathematics and Mechanics(English Edition) 2021年第3期42卷 347-356页

作者： s.a.shehzad M.sHEIKHOLEsLAMI T.AMBREEN A.sHAFEE Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Renewable Energy systems and Nanofluid Applications in Heat Transfer Laboratory Babol Noshirvani University of TechnologyBabol 47148-71167Iran Department of Mechanical Engineering Babol Noshirvani University of TechnologyBabol 47148-71167Iran school of Mechanical Engineering Kyungpook National UniversityDaegu 41566South Korea Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam

Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering *** present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and *** natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method(CVFEM)-based code,whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu_(ave),flow streamlines,and isotherm profiles.A formula for estimating Nu_(ave) is *** results show that the magnetic force retards the flow,and the fluid tends to attract the magnetic field ***_(ave) is directly correlated with the Rayleigh number and radiation;however,it is indirectly dependent on the Hartmann *** is the dominant mode at larger Darcy and Hartmann numbers.

关键词： free convection hybrid nanoparticle Darcy porous space Hartmann number radiation

Unsteady three-dimensional MHD flow of the micropolar fluid over an oscillatory disk with Cattaneo-Christov double diffusion

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Applied Mathematics and Mechanics(English Edition) 2019年第10期40卷 1471-1486页

作者： A.RAUF s.a.shehzad Z.ABBAs T.HAYAT Department of Mathematics COMSATS University Islamabad Sahiwal 57000 Pakistan Department of Mathematics The Islamia University of Bahawalpur Bahawalpur 63100 Pakistan Department of Mathematics Quiad-i-Azam University Islamabad 44000 Pakistan

Cattaneo-Christov heat and mass flux models are considered rather than Fourier and Fick laws due to the presence of thermal and concentration transport hyperbolic phenomena. The generalized form of the Navier-stokes model is considered in hydromagnetic flow. Three-dimensional (3D) unsteady fluid motion is generated by the periodic oscillations of a rotating disk. similarity transformations are used to obtain the normalized fluid flow model. The successive over relaxation (sOR) method with finite difference schemes are accomplished for the numerical solution of the obtained partial differential non-linear system. The flow features of the velocity, microrotation, temperature, and concentration fields are discussed in pictorial forms for various physical flow parameters. The couple stresses and heat and mass transfer rates for different physical quantities are explained via tabular forms. For better insight of the physical fluid model, 3D fluid phenomena and two-dimensional (2D) contours are also plotted. The results show that the micropolar fluids contain microstructure having non-symmetric stress tensor and are useful in lubrication theory. Moreover, the thermal and concentration waves in Cattaneo-Christov models have a significance role in the laser heating and enhancement in thermal conductivity.

关键词： three-dimensional (3D) flow micropolar fluid magnetohydrodynamics (MHD) Cattaneo-Christov theory oscillatory disk

Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

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Applied Mathematics and Mechanics(English Edition) 2015年第1期36卷 69-80页

作者： T.HAYAT T.HUssAIN s.a.shehzad A.ALsAEDI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of ScienceKing Abdulaziz University Department of Mathematics Faculty of Computing Mohammad Ali Jinnah University Department of Mathematics COMSATS Institute of Information Technology

The two-dimensional boundary layer flow of an Oldroyd-B fluid in the presence of nanoparticles is investigated. Convective heat and mass conditions are considered in the presence of thermal radiation and heat generation. The Brownian motion and thermophoresis effects are retained. The nonlinear partial differential equations are reduced into the ordinary differential equation （ODE） systems. The resulting ODE systems are solved for the series solutions. The results are analyzed for various physical parameters of interest. Numerical values of the local Nusselt and sherwood numbers are also computed and analyzed.

关键词： nanoparticle Oldroyd-B fluid heat generation convective condition