Nonlinear studies on the effect of non-uniform heat generation/absorption on hydromagnetic flow of nanofluid over a vertical plate
Articles
Abdul Kafoor Abdul Kafoor Abdul Hakeem
Sri Ramakrishna Mission Vidyalaya College of Arts & Science, India
Bhose Ganga
Providence College for Women, India
Sait Mohamed Yusuff Mohamed Yusuff Ansari
Jamal Mohamed College, India
Nagaraj Vishnu Vishnu Ganesh
Sri Ramakrishna Mission Vidyalaya College of Arts & Science, India
Mohammad Mansur Mansur Rahman
Sultan Qaboos University, Oman
Published 2017-01-20
https://doi.org/10.15388/NA.2017.1.1
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Keywords

homotopy analysis method
hydromagnetic flow
nanofluid
non-uniform heat generation/absorption
thermal radiation
vertical plate

How to Cite

Hakeem, A.K.A.K.A. (2017) “Nonlinear studies on the effect of non-uniform heat generation/absorption on hydromagnetic flow of nanofluid over a vertical plate”, Nonlinear Analysis: Modelling and Control, 22(1), pp. 1–16. doi:10.15388/NA.2017.1.1.

Abstract

The analytical and numerical studies are performed to investigate the non-uniform heat generation/absorption effect on the boundary layer flow of an incompressible, electrically conducting nanofluid over a vertical plate in the presence of thermal radiation. The highly nonlinear governing equations along with the boundary conditions are converted into ordinary differential equations by appropriate similarity transformations. The transformed highly nonlinear ordinary differential equations are solved both analytically and numerically using homotopy analysis method and fourth order Runge–Kutta method with shooting technique respectively, for the various values of physical parameters. The results show that the presence of both space and temperature dependent heat generation enhances the velocity and temperature profiles and reduces the solid volume fraction of nanofluid profile. Comparison between present analytical and numerical results is found to be good.

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