Entropy analysis of double diffusion in a Darcy medium with tangent hyperbolic fluid and slip factors over a stretching sheet: Role of viscous dissipation

Abstract

This study aims to numerically investigate entropy optimization for a time-independent tangent hyperbolic fluid flowing past a porous sheet that is stretching linearly. The fluid motion is generated by stretching surfaces and buoyancy forces. The analysis includes momentum, energy, and mass transport associated with mixed convection, thermal radiation, velocity, thermal, and concentration slip factors. Heat dissipation is also considered in energy transport through the viscous dissipation effect. The mathematical formulation leads to a set of non-linearly coupled partial differential equations. To obtain a similarity solution, similarity variables are introduced. The numerical solution of the leading differential equations is obtained using the fourth-order Runge-Kutta method with the shooting technique. The graphical results are presented to show the physical significance of the relevant parameters. The main objective of entropy optimization is achieved by increasing the magnitude of the Darcy dissipation parameter. Entropy generation is directly proportional to the Brinkmann number, Reynolds number, and radiation parameter. The second law of thermodynamics is fulfilled by introducing slip conditions over the porous medium. The use of a tangent hyperbolic fluid over a porous medium has practical applications in various porous geometries, such as oil/gas reservoir simulation, enhanced oil recovery, carbon dioxide sequestration, and water soil infiltration. Therefore, optimizing entropy generation in these mechanical systems is crucial.