Abstract
The current work analyzes the heat transfer analysis of Sutterby fluid flow over a curved surface, discussing the bubbling prospects of the magnetic field, and the temperature field equation is incorporated with the consequence of radiation. Eventually, we get the formulation of mathematical structure complimenting the physical problem. The governing equations for the non-Newtonian fluid (Sutterby fluid) model over a curved surface are derived via inclusion of the consequences of the curvature. The eminently nonlinear PDEs are reduced to nonlinear ODEs via the similarity transformation. Then the resulting ODEs are solved with the use of the OHAM technique. Graphical interpretation and illustration are proffered for the tangled physical parameters Eckert number $$Ec$$ , Sutterby fluid parameter $$\gamma$$ , Prandtl number Pr, and curvature parameter $$K$$ in the temperature and velocity profiles.