Illustration of activation energy and exponential heat source on the conducting viscous fluid through an expanding surface

In the current scenario, this investigation deal with the illustration of the advanced heat source properties influenced by exponential distribution for the inclusion of activation energy in the flow of viscous conducting fluid over an expanding surface. The flow through porous matrix is also characterized by the heat dissipation formulated due to viscous, Joule, and Darcy effects. Due to the consideration of the transverse magnetic field, and porous matrix, the effect of Joule and Darcy dissipations cannot be neglected. However, the novelty arises for the investigation that characterizes its key role to optimize the transport properties in numerous industrial application that be governed by the external heat source, which is beneficial for the better shape of the product and size of the manufacturing products. The dimensionless form of the proposed model associated with various flow properties is solved numerically employing shooting based "Runge-Kutta fourth-order." The illustration of the features of the various components associated in the present profiles is deployed graphically and the numerical computation of shear rate vis-a-vis other rate coefficients are presented in the tabular form. Finally, the important outcomes of the study deployed as; the velocity profile augments with the increasing thermal buoyancy as well as the ratio of the volumetric coefficient and the enhanced Lewis number combined with the reaction coefficient augments the solutal rate.