Optimizing convective heat transfer in a magnetized couple stress fluid over a stretched tube

The purpose of this proposed research is to examine the two-dimensional couple stress fluid flow over an extensible cylinder. The flow rate was determined by convective boundary layer constraints and the presence of a magnetic field. A nonlinear convective expression is used to study the heat transfer process in the vicinity of the cylindrical surface, which has widespread applications in engineering and industrial sectors. Incorporating a thermal radiation source into the heat transfer process increases the effect of dissipative heat. The behavior of the flow is determined by its mathematical structure, which is then translated into ordinary differential equations by making suitable assumptions about similarity variables and stream function. The findings indicate that as the dimensionless couple stress parameter increases, fluid movement intensifies. Conversely, an increase in the Hartmann number (M) leads to a decrease in velocity. Additionally, varying the curvature parameter results in higher values for both temperature and fluid velocity profiles. The coefficient of skin friction rises with the curvature parameter but decreases with the Grashof number. Furthermore, the heat transfer rate increases with higher curvature and decreases with the Grashof number, respectively. The present study includes a comparison with existing research to reinforce the proposed model.