Sensitivity analysis for Walters-B nanoliquid flow over a radiative Riga surface by RSM

Abstract

In this study, a sensitivity analysis is implemented using response surface strategies to control the Walters-B nano fluid stagnant point flow caused by a Riga surface. An electromagnetic actuator is known as Riga surface. The Buongiorno model is used to construct the mathematical model that includes a Newtonian heating condition as well as radiation effects. Based on the fundamental laws of mass, momentum, and energy, transformation is incorporated to obtain nonlinear ordinary differential equations. To solve the governing system, the numerical shooting approach along with Runge-Kutta scheme is employed to solve the governing system. By considering the response of Local Nusselt Number (LNN) to the variation of input variables, an experimental structure is incorporated by sensitivity analysis. As underlined, the LNN is quite sensitive to radiation number rather than other parameters of interest. Meanwhile, it is indicated that the sensitivity of LNN to Brownian number is reduced as thermophoresis is enhanced, but sensitivity value varies from positive to negative for all the values of Brownian number. It is examined that maximum LNN occurs at a higher level for thermophoresis and for Brownian motion parameters. The results are assumed to provide a tentative guidance for possible lab-based experiments.