Unsteady flow of chemically reactive Oldroyd-B fluid over oscillatory moving surface with thermo-diffusion and heat absorption/generation effects

Abstract

This theoretical investigation deals with the magnetohydrodynamic mass and heat transportation of oscillatory Oldroyd-B fluid flow under thermo-diffusion effects. Flow is produced due to periodic motion of sheet. Some interesting effects like heat absorption/generation and chemical reaction are superposed in the energy and mass species equations, respectively. By utilizing apposite variables, independent variables in the model equations are reduced. The set of these equations is solved with help of homotopy analysis method. Reliable results for different physical flow constraints are prepared for the velocity, temperature and concentration profiles. It is noted that the Deborah number in terms of relaxation time resists the motion of fluid particles at various time instants. Both temperature and concentration profiles increase by increasing Deborah number in terms of relaxation time. The presence of Dufour number may enhance the thermal boundary layer effectively. It is also concluded that the species concentration profile is promoted by increasing Hartmann number and Soret number. An excellent accuracy of obtained solution is observed with already reported numerical values as a special case.