Numerical Study of the Effect of an Exponentially Increasing Pressure Gradient on Heat Transfer in Non‐Newtonian Fluid Flow Around a Slender Cylinder

ABSTRACT This research examines how mixed convection influences the heat and fluid flow behavior of non‐Newtonian fluid flow, driven by an exponentially increasing pressure gradient over a slender cylinder. In accordance with the flow assumptions, the proposed problem is mathematically formulated using coupled nonlinear partial differential equations, and the obtained results are satisfied by appropriate boundary conditions. The dimensional model is converted into a non‐dimensional form by introducing appropriate scaling variables. The problem is solved by applying the Finite Difference Method for discretization, wherein derivative terms are replaced with finite differences. Finally, the resulting data are imported into Tecplot‐360 for graphical representation. An analysis of key fluid flow and thermal parameters involved in the flow model is carried out to investigate their influence on velocity and temperature profiles, as well as their respective gradients. The results demonstrate that exponentially increasing pressure gradients can enhance the flow velocity near the surface, which may lead to a reduction in skin friction, even in the case of shear‐thickening () fluids. These findings are validated through both graphical and tabular representations, with accuracy ensured by the application of proper boundary conditions. The novelty of the proposed work is based on the combination of slender cylinder geometry and non‐Newtonian fluid which is less frequently studied.