Effects of multislip and distinct heat source on MHD Carreau nanofluid flow past an elongating cylinder using the statistical method

This study focuses on studying the impact of multiple slip effects on the hydromagnetic Carreau nanofluid flow over an elongating cylinder considering a linear heat source and exponential space-based heat source. Suitable transformations are used in converting the highly nonlinear system of partial differential equations governing the flow into a system of ordinary differential equations and hence resolved using the Runge–Kutta method of order four coupled with the shooting method. BVP5C and RKF45 are used to compare the numerical accuracy and an excellent agreement is noted. The parallel effect of parameters on Nusselt number is studied using surface plots and the corresponding effects are scrutinized using multiple linear regression. It is observed that the linear heat source parameter, thermal slip parameter and exponential space-based heat source parameter demote the heat transfer rate. The consequence of different parameters on drag coefficient and mass transfer are quantified using a linear regression slope.