Abstract
This paper is an investigation of the effects of chemical reaction on two dimensional steady stagnation point flow of an electrically conducting, incompressible, and viscous fluid with radiation towards a heated shrinking porous surface. A chemically reactive species is emitted from the vertical surface into the flow field. The governing partial differential equations are solved using the Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration. Velocity, temperature and concentration profiles are presented graphically. Numerical results for the skin friction coefficient, the rate of heat transfer represented by the local Nusselt number and the rate of mass transfer represented by the local Sherwood number are presented in tables and discussed quantitatively. The effects of magnetic field parameter, the velocity ratio parameter, the radiation parameter, the suction parameter, Schmidt number, Eckert number, Prandtl number and reaction rate parameter on the flow field are discussed. Key words: Porous medium, stagnation point, magnetohydrodynamics (MHD), shrinking surface, radiation.
Highlights
Heat transfer is an important area of fluid dynamic research
Boundary layer flow due to exponential stretching surface with radiation and chemical reaction and observed that the rate of heat transfer at the surface was adversely affected by increases in the transverse magnetic field
To the best knowledge of the authors, only a limited number of researchers have attempted to solve the problem of radiation effects on MHD boundary layer stagnation point flow towards a heated shrinking sheet, notably Muhammad and Shahzad (2011)
Summary
Heat transfer is an important area of fluid dynamic research. The presence of magnetic field in a body of fluid has been known to have significant practical applications in science, engineering and industry. Mahapatra et al (2011) analysed the steady two-dimensional MHD stagnation-point flow of an electrically conducting fluid over a shrinking sheet with a uniform transverse magnetic field whilst Jafar et al. Ibrahim and Makinde (2010a) investigations on MHD boundary layer flow of chemically reacting fluid with heat and mass transfer past a stretching sheet concluded that both the magnetic field strength and the uniform heat source had significant impact in cooling surfaces. To the best knowledge of the authors, only a limited number of researchers have attempted to solve the problem of radiation effects on MHD boundary layer stagnation point flow towards a heated shrinking sheet, notably Muhammad and Shahzad (2011).
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