Mixed Convection Boundary Layer Flow with Heat Transfer over a Non-Linear Stretching Wedge-Shaped Surface with the Correlation Coefficient and Multiple Regressions Models

M. Ali¹ , M.A. Alim²

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.5 , pp.6-20, Oct-2021

Online published on Oct 31, 2021

Copyright © M. Ali, M.A. Alim . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The present paper aims to investigate the MHD two-dimensional mixed convection boundary layer nanofluid flow and heat transfer along with a power-law stretching wedge-shaped surface by using the Buongiorno model. The leading PDEs are modified to ODEs by applying the appropriate similarity transformation. The mathematical model of this problem is solved with the help of SQLM along with MATLAB. Numerical solutions of fluid velocity profile and fluid temperature profile are displayed graphically for different values of controlling flow parameters whereas numerical values of velocity gradient and wall temperature gradient are presented in a tabular form. The numerical results of this paper have been compared with previous working results and found to be almost similar. The correlation coefficient and multiple regression model have been established for the mentioned parameters. The correlation analysis represents that the stretching ratio parameter is negatively correlated with the velocity gradient but the magnetic parameter, porosity parameter, mixed convection parameter and suction parameter are positively correlated. The temperature gradient is positively correlated with the Prandtl number, stretching ratio parameter, porosity parameter, magnetic parameter, and suction parameter whereas negatively correlated with Brownian motion, thermophoresis parameter, and heat generation parameter. The concentration gradient is positively correlated with the Brownian motion, Lewis number, Prandtl number, heat generation, and suction parameter but negatively correlated with the thermophoresis parameter, magnetic parameter and porosity parameter. The results also indicate that within the boundary layer region the fluid velocity is a decreasing function of wedge angle parameter, magnetic parameter, and increasing function of stretching ratio, porosity, wedge angle and mixed convection parameters. Similarly, the temperature is an increasing function of heat generation parameter, Brownian motion, and thermophoresis parameter but a decreasing function of Prandtl number and suction parameter whereas constant in the case of mixed convection parameter. Again, the concentration is a decreasing function of Prandtl number, Lewis number, Brownian motion, heat generation and suction parameter but an increasing function thermophoresis parameter. The observation of this problem may have a bearing in different engineering techniques such as the paper industry, annealing, and tinning of copper wire industry, the process of crystal growing and glass blowing, the continual casting of metals, and spinning of fibbers.

Key-Words / Index Term :
Boundary layer, wedge flow, correlation, regression, Mixed convection

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