Numerical simulation of Darcy–Forchheimer flow of third grade liquid with Cattaneo–Christov heat flux model

The main purpose of this research is to evaluate the impact of Darcy–Forchheimer flow in an incompressible third-grade liquid through Cattaneo–Christov heat flux approach. The Cattaneo–Christov heat flux theory is adopted to govern the mathematical expression of energy, which involves the heat flux relaxation time chracteristics. Time-dependent thermal conductivity is accounted. The steady problem is reduced to ordinary differential equations via suitable transformation. Numerical solutions for the resulting flow expressions have been computed with the help of Euler's explicit technique. Impact of influential variables on the velocity, temperature and skin-friction coefficient have been demonstrated and discussed through graphs.