Numerical evaluation of heat irreversiblity in porous medium combustion of third-grade fluid subjected to Newtonian cooling

Abstract

Understanding combustion efficiency and reduction of environmental pollution are one of the main challenges encountered in porous medium combustion in many industrial and chemical engineering applications in recent times. In this regard, we present a numerical investigation of the thermal stability of the process and inherent irreversibility analysis for combustible third-grade fluid through a non-Darcian porous medium. The heated fluid flow is assumed to flow steadily through parallel Riga plates with asymmetrical convective cooling. The equations governing the flow are formulated and converted to a set of nonlinear Boundary-value problems by dimensional analysis. The dimensionless equations are solved numerically by spectral Chebyshev collocation method and validated with Shooting-Runge-Kutta method. Graphical and tabular illustrations are provided with sufficient explanations for the velocity, temperature, entropy generation, and irreversibility ratio profiles.

Keywords:

• Combustible fluid
• heat transfer
• Riga plates
• spectral collocation method