Statistical Analysis of Non-Newtonian Couple Stress Fluid Induced in Stretching Cylinder

The paper provides the impact of suction and injection on convection laminar incompressible couple stress fluid flow and magnetic field using spectral quasi linearization methods as the major novelty of our work. This work is to addresed heat transfer is an important process in many
 engineering, industrial, residential, and commercial buildings. Thus, this study aims to analyze the effect of MHD and non-Newtonian couple stress fluid runs over a permeable stretched cylinder. The leading formulation is transmuted into ordinary differential equations via similarity functions.
 The coupled equations with non-linearly terms are resolved numerically through utilization of MATLAB code for spectal quasi linearization methods (SQLM). Convergence regions for solutions are discussed. Graphical results illustrating the impacts of various emerging parameters are presented
 in discussion. The statistical declaration and probable error for skin friction and Nusselt number are numerically computed and discussed through Tables. From obtained outcomes it is concluded that magnitude of skin friction increases at the cylindrical surface for higher values of couple
 stress parameter and Reynolds number. Nusselt number or heat transfer rate also enhances at the surface of cylinder in the presence of Reynolds number.