Viscoelastic Jeffery-Hamel flow of Oldroyd-B fluid with thermal radiation and heat source in inclined convergent/divergent channels

This study investigates the heat transfer behavior in Jeffery-Hamel (JH) flow of a viscoelastic fluid within inclined convergent/divergent channels. The aim is to understand the combined effects of fluid viscoelasticity, thermal radiation, and internal heat generation on flow and heat transfer. The model assumes flow between two intersecting plates forming the channel walls, governed by the Oldroyd-B fluid model. The mathematical formulation accounts for relaxation and retardation effects and includes pressure gradients in radial and tangential directions. A numerical approach is employed to analyze the dimensionless momentum and energy equations. Results show that increasing strain retardation time enhances velocity, while stress relaxation time has an opposite effect. The study highlights how viscoelastic properties and thermal conditions influence flow characteristics and improve heat transfer efficiency in Jeffery-Hamel configurations. An increase in Ha , Hs, and Ec leads to better control of the temperature profile.