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Stratified magnetohydrodynamic flow of tangent hyperbolic nanofluid induced by inclined sheet

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Applied Mathematics and Mechanics(English Edition) 2017年第2期38卷 271-288页

作者： T. HAYAT M. MUMTAZ A. SHAFIQ A. ALSAEDI Department of Mathematics Quaid-i-Azam University 45320 Islamabad 44000 Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of Science King Abdulaziz University Jeddah 21589 Saudi Arabia Department of Mathematics Preston University Kohat Islamabad Campus Islamabad 44000 Pakistan

This paper studies stratified magnetohydrodynamic （MHD） flow of tan- gent hyperbolic nanofluid past an inclined exponentially stretching surface. The flow is subjected to velocity, thermal, and solutal boundary conditions. The partial differential systems are reduced to ordinary differential systems using appropriate transformations. The reduced systems are solved for convergent series solutions. The velocity, temperature, and concentration fields are discussed for different physical parameters. The results indi- cate that the temperature and the thermal boundary layer thickness increase noticeably for large values of Brownian motion and thermophoresis effects. It is also observed that the buoyancy parameter strengthens the velocity field, showing a decreasing behavior of temperature and nanoparticle volume fraction profiles.

关键词： two-dimensional magnetohydrodynamic (MHD) flow tangent hyperbolicnanofluid mixed convection exponential stretching double stratification inclined sheet

Effectiveness of Darcy-Forchheimer and nonlinear mixed convection aspects in stratified Maxwell nanomaterial flow induced by convectively heated surface

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Applied Mathematics and Mechanics(English Edition) 2018年第10期39卷 1373-1384页

作者： T.HAYAT S.NAZ M.WAQAS A.ALSAEDI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of Science King Abdulaziz University

The effect of nonlinear mixed convection in stretched flows of rate-type nonNewtonian materials is described. The formulation is based upon the Maxwell liquid which elaborates thermal relation time characteristics. Nanofluid properties are studied considering thermophoresis and Brownian movement. Thermal radiation, double stratification, convective conditions, and heat generation are incorporated in energy and nanoparticle concentration expressions. A boundary-layer concept is implemented for the simplification of mathematical expressions. The modeled nonlinear problems are computed with an optimal homotopy scheme. Moreover, the Nusselt and Sherwood numbers as well as the velocity, nanoparticle concentration, and temperature are emphasized. The results show opposite impacts of the Deborah number and the porosity factor on the velocity distribution.

关键词： Maxwell nanomaterial nonlinear mixed convection thermal radiation double stratification convective condition

double stratified radiative flow of an Oldroyd-B nanofluid with nonlinear convection

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Applied Mathematics and Mechanics(English Edition) 2019年第12期40卷 1861-1878页

作者： T.HAYAT M.Z.KIYANI I.AHMAD A.ALSAEDI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics Research Group Department of MathematicsFaculty of Science King Abdulaziz University Department of Mathematics University of Azad Jammu & Kashmir

The nonlinear convective flow of an Oldroyd-B fluid due to a nonlinear stretching sheet with varying thickness is examined. The salient features of the random movement and thermophoresis are described. Formulation is made with the nonlinear thermal radiation and heat generation/absorption. Further, the convective conditions and double stratification are taken into account. The resulting flow problems are tackled by the optimal homotopy analysis method(OHAM). The resulting nonlinear problems are solved for the velocity, temperature, and concentration fields. The temperature and concentration gradients are numerically discussed. The total residual error is *** Nusselt number is an increasing function of the radiation parameter. The Sherwood number increases with the increase in the solutal stratification or the Schmidt *** main outcomes are presented in conclusions. This study has a wide range of applications such as thermal stratification of oceans, reservoirs, and rivers, density stratification of atmosphere, hydraulic lifts, and polymer processing.

关键词： Oldryod-B fluid nonlinear thermal radiation double stratification nonlinear convective flow

Effect of Nonlinear Convection on Stratified Flow of Third Grade Fluid with Revised Fourier-Fick Relations

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Communications in Theoretical Physics 2018年第7期69卷 25-30页

作者： M.Waqas M.Ijaz Khan T.Hayat A.Alsaedi Department of Mathematics Quaid-I-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of ScienceKing Abdulaziz University

Here thermal dependence conductivity and nonlinear convection features in third-grade liquid flow bounded by moving surface having varying thickness are formulated. Stagnation point flow is considered. Revised FourierFick relations and double stratification phenomena are utilized for modeling energy and concentration *** model of considered physical problem is achieved by implementing the idea of boundary layer theory. The acquired partial differential system is transformed into ordinary ones by employing relevant variables. The homotopic scheme yield convergent solutions of governing nonlinear expressions. Graphs are constructed for distinct values of physical constraints to elaborate the heat/mass transportation mechanisms.

关键词： nonlinear convection double stratification revised Fourier-Fick relations third grade liquid ther-mal dependence conductivity