Unsteady Natural Convection Flow through a Vertical Channel: Due to the Combined Effects of Variable Viscosity and Thermal Radiation

Journal of Applied & Computational Mathematics

article

Ajibade AO¹  Bichi YA¹ 

[1] Department of Mathematics, Ahmadu Bello University

关键词: Natural convection;    Variable viscosity;    Thermalradiation;    ADM;   

DOI  :  10.4172/2168-9679.1000403

来源: Hilaris Publisher

【 摘 要 】

The paper investigates unsteady natural convection flow through a vertical channel due to the combinedeffects of variable viscosity and thermal radiation. The fluid considered in this study is an optically dense viscousincompressible fluid with all its properties assumed to be constant except for its viscosity which depends linearlywith its temperature. Non-linear Rosseland approximation is used to describe the radiative heat flux in the energyequation. The mathematical model capturing the present physical situation is highly non-linear due to the presence ofthermal radiation effects. The governing equations for the flow formation are solved by the Adomian decompositionmethod (ADM). Effects of the controlling physical parameters involved in the velocity and temperature fields arepresented graphically and discussed. In the course of investigation, it was found that; the fluid velocity increases withincrease in thermal radiation and viscosity variation parameters while the fluid temperature increases with increasein thermal radiation.

【 授权许可】

Unknown