Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection

Abstract The thermodynamics modeling of a Reiner–Philippoff‐type fluid is essential because it complex with three distinct probable modifications. This model can be modified to describe shear‐thinning, Newtonian, or shear‐thickening under varied viscoelastic conditions. study constructs mathematical that describes boundary layer flow Reiner–Philippoff nonlinear radiative heat flux and temperature‐ concentration‐induced buoyancy force. dynamical follows the usual conservation laws reduced through nonsimilar group transformations. resulting equations are solved using spectral‐based local linearization method, accuracy numerical results validated grid dependence convergence tests. Detailed analyses effects specific thermophysical parameters presented tables graphs. reveals, among other results, force, solute thermal expansion coefficients, radiation increase overall wall drag, heat, mass fluxes. Furthermore, shows amplifying space temperature‐dependent source allows particles lose their cohesive force and, consequently, maximize transfer.