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

Document Type : Article


1 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

2 Department of Physics, Faculty of Sciences, University of 20 Ao^ut 1955-Skikda, Skikda, Algeria

3 Department of Statistics, Quaid-I-Azam University 4250 Islamabad 44000, Pakistan

4 Binjiang College, Nanjing University of Information Science and Technology, Wuxi 214105, China


In this examination, a sensitivity analysis is implemented using response surface strategies to control the Walters-B nanofluid 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, which includes a Newtonian heating condition as well as radiation effects. Via 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 used to solve the governing system. A comparison with existing research is made, and the results are obtained to be in strong agreement. Focusing on the response of local Nusselt number to variation of input variables, an experimental structure is incorporated by sensitivity analysis. As underline, the LNN is quite sensitive to radiation number rather than other parameters of interest. Meanwhile, it is demonstrated that sensitivity of LNN to Brownian number decreases with growing thermophoresis number but sensitivity value is also vary from positive to negative for all values of Brownian number. The results are assumed to provide a tentative guidance for possible lab-based experiments.


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