MHD Stagnation Point of Blasius Flow for Micropolar Hybrid Nanofluid toward a Vertical Surface with Stability Analysis

Abstract

This study investigates the magnetohydrodynamics of a micropolar fluid consisting of a hybrid nanofluid with mixed convection effects. By using the dimensionless set of variables, the resulting equations of ordinary differential equations are solved numerically using the bvp4c solver in MATLAB. In the present work, the water-based alumina–copper hybrid nanofluid is analytically modeled with modified thermophysical properties. The study reveals that the highest critical value of opposing flow is the hybrid nanofluid (ϕ1 = ϕ2 = 2%). By comparing the hybrid nanofluid with Cu–water nanofluid (ϕ1= 0%, ϕ2= 1%) as well as water (ϕ1= 0%, ϕ2= 0%), hybrid nanoparticle volume fraction enhances the dynamic viscosity performance and surface shear stress. In addition, the augmentation of the nanoparticle volume fraction and magnetic field parameter will increase the physical quantities Rex1/2 Cf, Rex Mx, and Rex−1/2 Nux. The result from the stability inquiry discloses that the first solution is more physically stable and trustworthy. It is proven that magnetohydrodynamics could contribute to controlling the fluid flow in a system, i.e., engineering operations and the medical field. In addition, this theoretical research can be a benchmark for experimental research.

Mixed Convection Hybrid Nanofluid Flow Induced by an Inclined Cylinder with Lorentz Forces

“…It has been demonstrated that a solution exists only if this parameter does not exceed a specific critical value, and numerical computations have been performed to demonstrate that this solution is non-unique. However, the existence of non-unique solutions also occurs for the Blasius boundary conditions problem when the surface is at rest, as reported by Khashi’ie et al [ 20 ], Waini et al [ 21 ], Sohut et al [ 22 ], etc.…”

A GUI for Computing Hybrid Nanofluid Boundary Layer Flow using bvp4c Solver in MATLAB: Educational Purposes for University Students

“…For undergraduate students majoring in mechanical, energy, civil, construction or chemical engineering, this course is a bit tough since the fundamental fluid concepts and principles are covered, plus they need to have a very strong mathematical background to solve fluid-related engineering problems. Normally, problems related to fluid mechanics, such as fluid dynamics require students to transform the partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs) using the similarity transformation [1][2][3]. According to Minichiello et al, [4], most problems in fluid mechanics require students to apply calculus to derive partial differential equations.…”