Application of Gyarmati’s principle to study active boundary layer control of ionic fluid past a Riga plate

Abstract

Similarity solutions of laminar electromagnetohydrodynamic boundary layer flows in forced convection are investigated aiming at the evaluation of irreversible momentum, heat and mass transport balance equations by a variational principle. The transportation fields inside the boundary layer are approximated as trial polynomial functions, and the functionals of variational principle are formulated. The Euler–Lagrange equations of variational principle are constructed as algebraic equations in terms of momentum, thermal and concentration boundary layer thicknesses. Electrically conductive fluid flow over a semi-infinite flat plate controlled by electromagnetic force (Z) is considered. The effects of viscous dissipation (Ec), thermophoretic particle deposition (Nt) and thermal diffusion (Sr) in the presence of heat source/sink (Q) on skin friction, heat and mass transfer rates have been examined in this work. To demonstrate the efficiency of the present technique, some specific obtained results are compared with the known numerical results in literature and the accuracy is ensured. Further, the regression analysis is performed to state the dependency of these parameters on heat and mass transfer rates.