ABSTRACT The paper reports a local non‐similar analysis for axisymmetric flow by an infinite revolving disk in a third‐grade fluid with heat transfer. The flow field is assumed to be affected by body force due to axial magnetic field consideration, and heat generation due to resistive effect brought about by magnetic field is also accounted for. Also, this study incorporates the impacts of viscous dissipation on heat transport, significantly influencing the thermal performance of the fluid. Non‐similar terms emerging due to factors namely viscous dissipation, Joule heating, and third‐grade fluid assumption are retained. Moreover, a comprehensive study regarding entropy generation is performed in order to assess the irreversibility concerned with heat transport, fluid friction, and magnetic field impacts. By utilizing non‐similar transformations, the originally formulated nonlinear PDEs of the problem are recast into a corresponding set of ODEs. Numerical solutions, obtained via MATLAB's tool bvp4c, are graphically visualized for various values of sundry variables in terms of velocity behavior, temperature, skin friction, entropy generation, Nusselt number, and Bejan number. The numerical investigation highlights that incorporating third‐grade fluid parameter results in higher radial and axial velocities, alongside a suppressed momentum boundary layer. Thus, elevating this parameter weakens heat transport within the fluid, ultimately limiting the thermal penetration depth. The analysis further reveals that stronger temperature gradients correspond to a substantial enhancement in entropy production.
Sakha et al. (2026) studied this question.