Modelling the impact of Magnetohydrodynamics (MHD) nanofluid flow on cooling of engineering systems
Date
2021-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Stellenbosch : Stellenbosch University
Abstract
ENGLISH ABSTRACT: The flow investigations regarding nonlinear materials are extremely important in the applied
science and engineering areas to explore the properties of flow and heat transfer. Recent
advancement in nanotechnology has provided a veritable platform for the emergence of a better
ultrahigh-performance coolant known as nanofluid for many engineering and industrial
technologies. In this study, we examine the influence of a magnetic field on the heat transfer
enhancement of nanofluid coolants consisting of Cu-water, or Al2O3-water, or Fe3O4-water over
slippery but convectively heated shrinking and stretching surfaces. The model is based on the
theoretical concept of magnetohydrodynamics governing the equation of continuity,
momentum, energy, and electromagnetism. Based on some realistic assumptions, the nonlinear
model differential equations are obtained and numerically tackled using the shooting procedure
with the Runge-Kutta-Fehlberg integration scheme. The existent of dual solutions in the
specific range of shrinking surface parameters are found. Temporal stability analysis to small
disturbances is performed on these dual solutions. It is detected that the upper branch solution
is stable, substantially realistic with the smallest positive eigenvalues while the lower branch
solution is unstable with the smallest negative eigenvalues. The influence of numerous
emerging parameters on the momentum and thermal boundary layer profiles, skin friction, and
Nusselt number are depicted graphically and quantitatively discussed.
AFRIKAANSE OPSOMMING: Geen Afrikaanse opsomming beskikbaar nie.
AFRIKAANSE OPSOMMING: Geen Afrikaanse opsomming beskikbaar nie.
Description
Thesis (MMil)--Stellenbosch University, 2021.
Keywords
Heat transfer, Heat -- Transmission, Nanofluids, Boundary layer (Meteorology), Magnetohydrodynamics (MHD), Nusselt number, Runge-Kutta formulas, Differential equations, Partial, Control theory, UCTD