A mathematical study of boundary layer nanofluid flow using spectral quasilinearization methods.
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Date
2020
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Abstract
Heat and mass transfer enhancement in industrial processes is critical in improving the efficiency
of these systems. Several studies have been conducted in the past to investigate different strategies
for improving heat and mass transfer enhancement. There are however some aspects that warrant
further investigations. These emanate from different constitutive relationships for different
non-Newtonian fluids and numerical instability of some numerical schemes. To investigate the
convective transport phenomena in nanofluid flows, we formulate models for flows with convective
boundary conditions and solve them numerically using the spectral quasilinearisation methods.
The numerical methods are shown to be stable, accurate and have fast convergence rates. The convective
transport phenomena are studied via parameters such as the Biot number and buoyancy
parameter. These are shown to enhance convective transport. Nanoparticles and microorganisms’
effects are studied via parameters such as the Brownian motion, thermophoresis, bioconvective
Peclet number, bioconvective Schmidt number and bioconvective Rayleigh number. These are
also shown to aid convective transport.
Description
Doctoral Degree. University of KwaZulu-Natal, Pietermaritzburg.