Effects of viscous dissipation and convective heating on convection ow of a second-grade liquid over a stretching surface: An analytical and numerical study

Document Type : Article

Authors

1 Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

2 Department of Mathematics, Dr.N.G.P. Arts & Science College, Coimbatore 641048, Tamil Nadu, India.

3 Department of Mathematics, Erode Arts & Science College, Erode 638009, Tamil Nadu, India.

Abstract

The effects of viscous dissipation and convective boundary condition on the two-dimensional convective flow of a second grade liquid over a stretchable surface with suction/injection and heat generation are investigated. The governing partial differential equations are reduced into a dimensionless coupled system of nonlinear ordinary differential equations by appropriate similarity transformation. Then, they are solved analytically
by homotopy analysis method (HAM) and by numerically with fourth order Runge-Kutta method with shooting technique. The HAM and numerical results of the local skin friction and local Nusselt number are compared for various emerging parameters. It is found that the momentum boundary layer thickness grows with rising the values of the viscoelastic parameter.

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Main Subjects


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