(R2058) MHD Stagnation Point Flow of Nanofluid with Buoyancy Effect Through a Porous Shrinking Sheet
Abstract
The current investigation seeks to identify the response of buoyancy and heat source mechanisms on chemically reacting and magnetized nanofluid. The stagnation point flows through the shrinking porous surface assumed as an air-based fluid conveying nanoparticles under Buongiorno’s model. This article contributes to the existing literature with the introduction of nonlinear convection of the nanofluid, triggered by the heat source, which accelerates the temperature of the fluid particles, thus resulting in airflow upstream. Subject to these conditions, the mathematical model is presented in PDE systems. An approach of similarity variable is employed to arrive at the ODE systems, which is then approximated via the collocation method with assumed Legendre functions of the first kind. The effect of various physical properties was obtained subsequently to the results when compared, validated, and illustrated through tables and graphs. The computed results show that a rise in the buoyancy parameter diminished the temperature and increased the velocity profiles. It is also displayed that the temperature is intensified with higher thermophoresis parameters and heat source values. The presence of thermophoresis shoots up the fluid concentration away from the wall surface but significantly affects the fluid concentration negatively near the surface.
Recommended Citation
Oyekunle, Timothy L.; Akolade, Mojeed T.; Agunbiade, Samson A.; and Adeniran, Paul O.
(2023).
(R2058) MHD Stagnation Point Flow of Nanofluid with Buoyancy Effect Through a Porous Shrinking Sheet,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
1, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss1/7