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Stratified magnetohydrodynamic flow of tangent hyperbolic nanofluid induced by inclined sheet

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

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MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation

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Chinese Physics B 2014年第10期23卷 306-314页

作者： Swati Mukhopadhyay Iswar Chandra Moindal Tasawar Hayat Department of Mathematics The University of Burdwan Department of Mathematics Quaid-i-Azam University 45320 Islamabad Pakistan Department of Mathematics Faculty of Science King Abdulziz University Jeddah 21589 Saudi Arabia

This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carded out in presence of thermal radiation and prescribed surface heat flux. In this study, an exponential order stretching velocity and prescribed exponential order surface heat flux are accorded with each other. The governing partial differential equations are first converted into nonlinear ordinary differential equations by using appropriate transformations and then solved numerically. The effect of increasing values of the Casson parameter is to suppress the velocity field. However the temperature is enhanced when Casson parameter increases. It is found that the skin-friction coefficient increases with increasing values of suction parameter. Temperature also increases for large values of power index n in both suction and blowing cases at the boundary. It is observed that the thermal radiation enhances the effective thermal diffusivity and hence the temperature rises.

关键词： exponential stretching suction/blowing prescribed heat flux thermal radiation

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