MHD boundary layer heat and mass transfer of a chemically reacting Casson fluid over a permeable stretching surface with non-uniform heat source/sink
Subject Areas : International Journal of Industrial MathematicsB. J. Gireesha‎ 1 , B. Mahanthesh‎ 2 , M. M. Rashidi‎ 3
1 - Department of Mechanical Engineering, Cleveland State University, Cleveland, OHIO, USA.
2 - Department of Mechanical Engineering, Cleveland State University, Cleveland, OHIO, USA.
3 - DShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji
University, Address: 4800 Cao An Rd., Jiading, Shanghai 201804, China.
Keywords: Casson fluid, Heat mass transfer, Non-uniform heat source/sink, Numerical Solution, Porous medium, Chemical reaction, Stretching sheet,
Abstract :
The heat and mass transfer analysis for MHD Casson fluid boundary layer flow over a permeable stretching sheet through a porous medium is carried out. The effect of non-uniform heat generation/absorption and chemical reaction are considered in heat and mass transport equations correspondingly. The heat transfer analysis has been carried out for two different heating processes namely; the prescribed surface temperature (PST) and prescribed surface heat flux (PHF). After transforming the governing equations into a set of non-linear ordinary differential equations, the numerical solutions are generated by an efficient Runge-Kutta-Fehlberg fourth-fifth order method. The solutions are found to be dependent on physical parameters such as Casson fluid parameter, magnetic parameter, porous parameter, Prandtl and Schmidt number, heat source/sink parameter, suction/injection parameter and chemical reaction parameter. Typical results for the velocity, temperature and concentration profiles as well as the skin-friction coefficient, local Nusselt number and local Sherwood number are presented for different values of these pertinent parameters to reveal the tendency of the solutions. The obtained results are compared with earlier results with some limiting cases of the problem and found to be in good agreement.