Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method

By Isaac Lare Animasaun, E. Adebile, A. I. Fagbade. 2016

192 citations recorded by the source corpus.

Abstract This article studies the motion of temperature dependent plastic dynamic viscosity and thermal conductivity of steady incompressible laminar free convective magnetohydrodynamic (MHD) Casson fluid flow over an exponentially stretching surface with suction and exponentially decaying internal heat generation. It is assumed that the natural convection is driven by buoyancy and space dependent heat generation. The viscosity and thermal conductivity of Casson fluid is assumed to vary as a linear function of temperature. By using suitable transformation, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear coupled ordinary differential equations and solved by the Homotopy analysis method. A new kind of averaged residual error is adopted and used to find the optimal convergence control parameter. A parametric study is performed to illustrate the influence of Prandtl number, Casson parameter, temperature dependent viscosity, temperature dependent thermal conductivity, Magnetic parameter and heat source parameter on the fluid velocity and temperature profiles within the boundary layer. The flow controlling parameters are found to have a profound effect on the resulting flow profiles.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/07e199619f1e7aecec4e586df66ae86bc922fe0b

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In Biomedical Engineering

1. Ilyas Khan
2. Sharidan Shafie
3. Imran Ullah

In Computational Mechanics

1. Ilyas Khan
2. Sharidan Shafie
3. Imran Ullah

In Mechanical Engineering

1. Ilyas Khan
2. Sharidan Shafie
3. Imran Ullah

Citations in the corpus

• Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium (2017, methodology): “In literature, the Casson model is regarded as one of the best rheological model for the analysis of boundary layer flows (Dash et al., 1996; Butt et al., 2013; Nadeem et al., 2014a; Animasaun et al., 2015).”