Open AccessMHD Stagnation Point Flow in Nanofluid Over Shrinking Surface Using Buongiorno's Model: A Stability Analysis
Author(s) -
Nur Adilah Liyana Aladdin,
Norfifah Bachok,
Nur Syazana Anuar
Publication year - 2020
Publication title -
journal of advanced research in fluid mechanics and thermal sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.247
H-Index - 13
ISSN - 2289-7879
DOI - 10.37934/arfmts.76.3.1224
Subject(s) - nanofluid , thermophoresis , magnetohydrodynamic drive , nusselt number , mechanics , magnetohydrodynamics , sherwood number , stagnation point , partial differential equation , ordinary differential equation , stagnation temperature , flow (mathematics) , mathematics , classical mechanics , thermodynamics , physics , mathematical analysis , differential equation , heat transfer , reynolds number , turbulence , magnetic field , quantum mechanics
An analysis has been performed using the Buongiorno model on the nanofluid steady 2D stagnation point flow magnetohydrodynamic (MHD) over the shrinking surface to test its stability. Transforming the governing partial equations into a set of ordinary differential equation (ODE) and solved the equations numerically. In this paper, the impact of Brownian motion and thermophoresis has been considered and can be seen in ODE. The physical quantities of interest such as skin friction, local Nusselt number, local Sherwood number as well as the velocity and temperature profiles are acquired by numerical findings for some values of governing parameters such as ?, M, Pr, Le, Nb and Nt. Results show that duality of solutions exist for certain values e -1. On the other hand, as the parameter of M increased, the gradient of velocity increased, the rate of transmission heat and mass improved. Throughout the analysis, it demonstrates a linearly stable first solution in comparison to linearly unstable second solution.