Dynamics of coupled reacted flow of Oldroyd-B material induced by isothermal/exothermal stretched disks with Joule heating, viscous dissipation and magnetic dipoles

Abstract Current investigation presents the heat and mass transfer analysis for steady flow Oldroyd-B fluid induced by isothermally and exothermally stretching disks. The novel features of Joule heating, chemical reaction and Ohmic dissipations are also utilized in the energy and concentration equations. A non-dimensional set of transformations are introduced to convert the coupled partial differential system into a system of ordinary differential equations. The analytical solution of formulated dimensionless equations is obtained by using homotopy analysis method. The solution convergence is ensured carefully. The physical exploration of various dimensionless parameters on pressure, velocity, temperature and concentration profiles is presented. It is observed that heat transfer at lower disk increases with increment of Deborah number, Archimedes number and distance parameter. The rate of mass transfer at both surfaces of disk is enhanced for larger values of activation energy parameter and Deborah number.