Generalized differential quadrature analysis of electro‐magneto‐hydrodynamic dissipative flows over a heated Riga plate in the presence of a space‐dependent heat source: The case for strong suction effect

Abstract

AbstractThe importance of including an electromagnetic actuator as a moving boundary on the dissipative flows of weakly conducting fluids had led to many published facts. But, nothing is known on the generalized differential quadrature analysis of magnetohydrodynamics over a Riga plate with emphasis on the case of viscous dissipation and space‐dependent heat source. After deriving the simplified boundary layer equation that models the transport phenomenon, appropriate variables were used to non‐dimensionalize and parameterize the partial differential equations. Thereafter, the resulting set of ordinary differential equations was solved numerically by applying a powerful differential quadrature algorithm. Based on the outcome of the simulation, it can be concluded that the viscous frictional effect can be minimized at the Riga plate either by weakening the suction process or by heightening the magnetic parameter. Moreover, the Lorentz forces have a hastening effect on the fluid motion, in the case when those magnetic causes are directed in the same sense of the developed flow.