List of symbols B 0 Magnetic induction (T) c Constant defined by Eq. (2.8) C f Skin friction coefficient C n Wall couple stress c p Specific heat at constant pressure (J/kg K) f Dimensionless stream function f w Suction/injection parameter g Dimensionless micro rotation h Convective heat transfer coefficient j Microinertia density K Micropolar or material parameter k Thermal conductivity (W/mK) M Magnetic parameter n Constant defined by Eq. (2.5) N Microrotation component Nu x Local Nusselt number Pr Prandtl number q w Surface heat flux (W/m 2) Re x Local Reynolds number T Temperature of the fluid (°C) u w Stretching velocity u, v Velocity components (m/s) v w Mass transfer velocity x, y Dimensionless coordinates Greek symbols α Thermal diffusivity (m 2 /s) γ Conjugate parameter for Newtonian heating δ Spin-gradient viscosity η Similarity variable θ Dimensionless temperature
This study is devoted to investigate the radiation, heat generation viscous dissipation and magnetohydrodynamic effects on the laminar boundary layer about a flat-plate in a uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient fluid (Sakiadis flow) both under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting technique alongside with the forth order of Runge-Kutta method and the variations of dimensionless surface temperature and fluid-solid interface characteristics for different values of Magnetic field parameter M, Grashof number Gr, Prandtl number Pr, radiation parameter N R , Heat generation parameter Q, Convective parameter and the Eckert number Ec, which characterizes our convection processes are graphed and tabulated. Quite different and interesting behaviors were encountered for Blasius flow compared with a Sakiadis flow. A comparison with previously published results on special cases of the problem shows excellent agreement.
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