A mathematical framework on Cattaneo–Christov model over an incessant moving needle

PurposeThe main theme of this paper is the effect of viscous dissipation Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle.Design/methodology/approachThe governing partial differential equations of the current problem are diminished into a set of ordinary differential equations using requisite similarity transformations. Energy equation is extended by using Cattaneo–Christov heat flux model with variable thermal conductivity. By applying boundary layer approximation system of equations is framed.FindingsConvective condition is also introduced in this analysis. Obtained set of similarity equations are then solved with the help of efficient numerical method four–fifth-order RKF-45.Originality/valueThe outcomes of various pertinent parameters on the velocity, temperature distributions are analysed by using portraits.