Abstract
In this study, the effects of variable viscosity on unsteady natural convection hydromagnetic flow past an isothermal sphere are determined. The uniformly heated sphere is immersed in a viscous and incompressible fluid where viscosity of the fluid is taken as a linear function of temperature. The Partial Differential Equations governing the flow are reduced into non dimensional form and since these equations are non-linear, they are solved numerically using finite difference methods. The numerical results obtained are presented graphically and discussed. It has been observed that there is a significant change in primary velocity, secondary velocity, temperature, skin friction and heat transfer of the fluid with changes in Reynolds number, Grashof number, Magnetic parameter and viscous variation parameter. These results are applicable in engineering, technology and biomedical fields.
Highlights
Fluid is a substance that is capable of flowing
Viscosity is taken as a linear function of Temperature, viscosity varies directly proportional to temperature in this study
It is observed that velocity profiles decreases with increase in Reynolds number and increases with decrease in Reynolds number
Summary
Fluid is a substance that is capable of flowing. It can be defined as a substance which deforms continuously when subjected to external shearing stress. Fluids are classified as Liquid, Gas, Vapor, Ideal Fluids and Real Fluids. A liquid is fluid which possesses a definite volume which varies slightly with temperature and pressure. A gas possesses no definite volume and is compressible. Vapor is a gas whose temperature is such that it is very near the liquid state. Ideal fluid is one which is compressible and has no viscosity and surface tension whereas a real fluid is one which has viscosity, surface tension and compressibility in addition to density. Ideal fluids do not exist but real fluids exist
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