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Characteristics of Nanofluids over a Non-Linearly Stretched Sheet under the Influence of Thermal Radiation and Magnetic Field

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World Journal of Mechanics 2016年第11期6卷 456-471页

作者： Shiva Prasad Rayapole anand rao jakkula Department of Mathematics Osmania University Hyderabad India

Recent studies carried out in terms of viscous flow and heat transfer of nano-fluids on the non-linear sheets. In this paper, detailed studies to understand the characteristics such as viscous flow and heat transfer of nano-fluids under the influence of thermal radiation and magnetic fields are studied using Keller-Box method. Various governing parameters affecting the viscous flow and heat transfers are drawn based on quantitative results. The raise in temperature affected the velocity to a negative value;however, the same observation was made even for the increasing magnetic field. The impact of radiation parameter is proportional seems to be proportional to temperature and it is observed to be inversely proportional with concentration.

关键词： Nano-Fluids Thermal Radiation Magnetic Field Keller-Box Viscous Flow

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Joule Heating and Thermal Radiation Effects on MHD Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet in a Porous Medium

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World Journal of Mechanics 2015年第9期5卷 151-164页

作者： jakkula anand rao Gandamalla Vasumathi jakkula Mounica Department of Mathematics Osmania University Hyderabad Telangana Department of Mathematics NGRI Hyderabad Telangana

A numerical study on boundary layer flow behaviour, heat and mass transfer characteristics of a nanofluid over an exponentially stretching sheet in a porous medium is presented in this paper. The sheet is assumed to be permeable. The governing partial differential equations are transformed into coupled nonlinear ordinary differential equations by using suitable similarity transformations. The transformed equations are then solved numerically using the well known explicit finite difference scheme known as the Keller Box method. A detailed parametric study is performed to access the influence of the physical parameters on longitudinal velocity, temperature and nanoparticle volume fraction profiles as well as the local skin-friction coefficient, local Nusselt number and the local Sherwood number and then, the results are presented in both graphical and tabular forms.

关键词： Exponentially Stretching Sheet MHD Thermal Radiation Chemical Reaction Joule Heating Heat and Mass Transfer Porous Medium

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Adaptive Finite Element Method for Steady Convection-Diffusion Equation

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American Journal of Computational Mathematics 2016年第3期6卷 275-285页

作者： Gelaw Temesgen Mekuria jakkula anand rao Department of Mathematics Mizan Tepi University Mizan Teferi Ethiopia Department of Mathematics Osmania University Hyderabad India

This paper examines the numerical solution of the convection-diffusion equation in 2-D. The solution of this equation possesses singularities in the form of boundary or interior layers due to non-smooth boundary conditions. To overcome such singularities arising from these critical regions, the adaptive finite element method is employed. This scheme is based on the streamline diffusion method combined with Neumann-type posteriori estimator. The effectiveness of this approach is illustrated by different examples with several numerical experiments.

关键词： Convection-Diffusion Problem Streamline Diffusion Finite Element Method Boundary and Interior Layers A Posteriori Error Estimators Adaptive Mesh Refinement

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