Second law analysis of Blasius flow with nonlinear Rosseland thermal radiation in the presence of viscous dissipation

M.I. Afridi ^*, M. Qasim

Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 45550, Pakistan

Abstract: In the present article, we perform the second law analysis of classical Blasius flow accounting the effects of nonlinear radiation and frictional heating. The two-dimensional boundary layer momentum and energy equations are converted to self-similar equations using similarity transformations. The set of resultant ordinary differential equations are solved numerically. The numerical results obtained from solutions of dimensionless momentum and energy equations are used to calculate the entropy generation number and Bejan number. The velocity profile  , temperature distribution  , entropy production number   and Bejan number   are plotted against the physical flow parameters and are discussed in detail. Further, for the sake of validation of our numerical code, the obtained results are reproduced using Matlab built-in boundary value solver bvp4c resulting in an excellent agreement. It is observed that entropy generation is increasing function of heating parameter, Prandtl number, Eckert number and radiation parameter. Further, it is observed that entropy generation can be minimized by reducing the operating temperature.

Keywords: Second law analysis; Boundary layer; Nonlinear Rosseland thermal radiation; Energy dissipation; bvp4c