The current study investigates the combined response of the Darcy–Brinkman–Forchheimer
and nonlinear thermal convection influence among other fluid parameters
on Casson rheology (blood) flow through an inclined tapered stenosed artery with
magnetic effect. Considering the remarkable importance of mathematical models
to the physical behavior of fluid flow in human systems for scientific, biological, and
industrial use, the present model predicts the motion and heat transfer of blood flow
through tapered stenosed arteries under some underline conditions. The momentum
and energy equations for the model were obtained and solved using the collocation method with the Legendre polynomial basis function. The expressions obtained for the velocity and temperature were graphed to show the effects of the Darcy–Brinkman– Forchheimer term, Casson parameters, and nonlinear thermal convection term among others. The results identified that a higher Darcy–Brinkman number slows down the blood temperature, while continuous injection of the Casson number decreases both velocity and temperature distribution