Steady flow and heat transfer analysis of third grade fluid with porous medium and heat generation

Abstract

In this study, flow and heat transfer of a non Newtonian third grade fluid with porous medium and internal heat source conveyed through parallel plates held horizontally against each other are investigated. The nonlinear ordinary equations arising due to visco-elastic effects from the mechanics of the fluid are analysed using the adomian decomposition method (ADM) adopting Vogel’s temperature dependent model based viscosity. Thermal fluidic parameters effects such as pressure gradient, heat generation parameter and porosity term are examined on the flow and heat transfer. Increasing porosity term shows slight decreasing effect on velocity distribution, as increasing heat generation term demonstrates significant increase on temperature distribution towards the upper plate. Obtained solutions in this paper may be used to advance studies in thin film flow, energy conservation, coal-water mixture, polymer solution and oil recovery application. Also Results from analyses compared against the fourth order Runge kutta numerical solution proves to be in satisfactory agreement.

Keywords

• Third grade fluid
• Porous medium
• Adomian decomposition method
• Parallel plate
• Vogel’s model