Significance of amalgamated impacts of slip effect and viscous dissipation on viscous fluid flow with varying fluid specifications

Abstract This investigation aims to examine the combined impacts of viscous dissipation and slip repercussions when combined with changing thermal conductivity and viscosity for a fluid flow that is incompressible, viscous, and electrically conductive. It is presupposed that thermal conductivity and fluid viscosity fluctuate with the ambient temperature. The calamitous effects of thermal stability and solutal buoyancy, and alongside the additional thermal source, further increase the flow entities. The conveyance abilities have been enhanced by the current need in multiple industries that rely on the provided thermal energy. When determining the right dimensions and configuration for a product that an industry manufactures, these tangible characteristics are best to us. An assortment of nonlinear partial differential equations (PDEs) that adhere to specific boundary conditions represents the flow. The coupled ensemble of PDEs has transformed from PDEs to ODEs with the appropriate similarity transformations. Using the sophisticated MATLAB solver technique, the resulting coupled system of ODEs is computed numerically. Study findings highlighted that fluid velocity as well as the temperature elevated in response to increased combustion of heat and plummeted in expectation of increased heat retention. Numerous values of the flow's specifications have been computed numerically for the temperature curves, velocity, Nusselt number, and surface friction coefficient. Physical aspects that blend into the flow incidents are explored using illustrative graphs and arrays. When this study's findings are contrasted with a prior study that has been published, they demonstrate substantial agreement.