02-D Magnetohydrodynamics Boundary Layer Flow of Cu-Ag-TiO3-Al2O3-H2O-C2H6O2 Mixtures: Explicit Numerical and Stability Approach
M. Ferdows1,2, D. Liu1 and B. R. Ramachandran1
1College of Engineering and Science, Louisiana Tech University, Ruston, 71270, USA; 2Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
Abstract:An analysis is present for an unsteady, viscous incompressible flow with four types of nanoparticles, namely (Cu, Ag, Al2O3, TiO3). It also considers water and Ethylene Glycol (C2H6O2, EG) as base fluids which are electrically conducting in the presence of a transverse magnetic field. The transformed nonlinear governing equations which are non-similar are solved with suitable transformations and a robust explicit finite difference method. The controlling flow characteristic parameters such as Prandtl number (Pr), Magnetic parameter (M), Richardson number (Ri), Reynolds number (Re) and volume fraction of nanofluids (φ) are discussed for dimensionless velocity and temperature flow profiles. Stability and convergence of the derived solutions are considered. It is observed that in the momentum profiles, the magnetic field has a great impact on Reynolds number. Richardson number has a significant impact in the momentum boundary layer thickness. The effect of different nanoparticles with different base fluids is analyzed and compared between steady and non-steady states. Shear stress and Nusselt number are also discussed for different parameters. This study has applications in propulsion system and magnetic nanomaterials processing.
Keywords: Magnetohydrodynamics, nanoparticles, steady-unsteady state condition, explicit finite difference, stability analysis.