Computational Investigation Of Nanofluid Heat Transfer Over A Stretched Sheet In The Presence Of A Magnetic Field

Abstract

In this case, we look into remarkable effects of a magnetic field on flow, stagnation point as well as heat transfer phenomena induced by nanofluids in close proximity to a stretched sheet. Our investigation takes into consideration intricate interplay of Brownian motion and thermophoresis, adding an innovative dimension to the analysis. The temperature and nanoparticle concentration solutions are intimately tied to six key parameters, namely the velocity ratio (A), Lewis number (Le), Prandtl number ( ), Brownian motion ( ) and the thermophoresis parameter ( ). Employing the powerful technique of transformation based on similarities, we skillfully transform the complex nonlinear boundary layer equations into a set of connected higher-order ordinary differential equations, paving the way for deeper insights and meaningful advancements in the study of fluid dynamics and heat transfer. In this novel study, we numerically solve the equations to obtain velocity, temperature, and concentration distribution results. The skin friction coefficient, local Nusselt number, and Sherwood number are also calculated. Our findings indicate that as the velocity ratio parameter (A) increases, both skin friction coefficient ( ) and local Nusselt number ( ) rise. The local Sherwood number increases with higher A and Lewis number (Le). Additionally, we observe that when (A > 1), the heat transfer rate at the surface increases, and when (A< 1), it decreases. When compared to a previous study, there is excellent agreement