Sensitivity analysis on radiative heat transfer of hydromagnetic Carreau nanoliquid flow over an elongating cylinder using Bulirsch-Stoer algorithm

Abstract The focal concern of this work is to numerically scrutinize the consequences of multiple slip, linear radiation and chemically reactive species on MHD convective Carreau nanoliquid flow over an elongating cylinder. The present study has applications in metallurgical procedures, blow molding, glass fibers, and extrusion processes. Relevant transformations are implemented in converting the governing equations into a system of ODEs and are further treated numerically using the Bulirsch-Stoer algorithm coupled with the shooting technique in MATLAB. The Bulirsch-Stoer method is a numerical technique based on two ideas; the midpoint method and Richardson extrapolation. Illustrations on the effect of flow profiles due to the varying parameter values are achieved with the aid of graphs. Characteristics of skin friction are quantified using linear regression slope. Simultaneous impact of radiation and thermal slip on Nusselt number and the response of solutal slip and chemically reactive species on mass transfer rate is analysed using three-dimensional surface plots. Moreover, statistical scrutiny on the impact of Hartmann number 1 ≤ M ≤ 2 , thermal radiation 1 ≤ R d ≤ 2 and thermal slip parameter 0.1 ≤ b 2 ≤ 0.3 over heat transfer rate employing Response Surface Methodology (RSM) and sensitivity analysis is also performed. Further, verification of the MATLAB code is achieved through a restrictive study with prior published works and a commendable agreement is noted.