Impact of Cattaneo-Christov heat flux on flow of two-types viscoelastic fluid in Darcy-Forchheimer porous medium

Purpose - The aim of this works is to characterize the role of Cattaneo-Christov heat flux in two-dimensional flows of second-grade and Walter's liquid B fluid models. Design/methodology/approach - In this study similarity transformations have been used to transform the system into ordinary ones. Numerical and analytical solutions are computed through homotopic algorithm and shooting technique. Findings - The numerical values of temperature gradient are tabulated, and the temperature gradient reduces rapidly with enhancing values of the Darcy parameter, but this reduction is very slow for Forchheimer parameter. Originality/value - No such analyses have been reported in the literature.