A STUDY ON BUOYANCY DRIVEN FLOW OF CONDUCTING FLUID IN A VERTICAL MICRO-CHANNEL WITH HALL EFFECT
A STUDY ON BUOYANCY DRIVEN FLOW OF CONDUCTING FLUID IN A VERTICAL MICRO-CHANNEL WITH HALL EFFECT
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Date
2017-10
Authors
MALGWI, Peter Bukar
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Abstract
This dissertation presents a theoretical study on buoyancy driven flow of
viscous, electrically conducting and incompressible fluid in a vertical microchannel
formed by two infinite vertical parallel plates in the presence of Hall
effect. The problem is further extended to the case when the micro-channel
plates are porous to investigate the effect of continuous suction/injection on
the micro flow. Analytical solutions for energy and momentum equations are
obtained using the method of undetermined coefficient. The influence of each
governing parameter such as Hall current parameter, Hartmann number, suction/
injection parameter, rarefaction parameter, fluid wall interaction parameter
and wall-ambient temperature ratio on flow formation is analysed with
the aid of line graphs and thereafter discussed. Numerical comparison of the
present study with previously published results was established to validate the
accuracy of the current solution. The results reveal that the Hall current parameter
plays a significant role in enhancing the fluid flow, resulting to increase
in fluid velocity and volume flow rate in both primary and secondary direction.
In addition, it is interesting that the volume flow rate is higher in both flow
directions due to increase in buoyancy force by increasing the temperature of
the cooler wall. Also, the effect of the Hall current on velocity and volume flow
could be further magnified by increasing gas rarefaction or increasing cooler
wall temperature. Suction/injection on the other hand has a profound effect
on the boundary layer thickness in which the suction reduces the thermal
boundary layer thickness yielding a decrease in the convective current thereby
decreasing fluid velocity and also the skin friction whereas injection thickens
yielding an increase in fluid velocity.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES,
AHMADU BELLO UNIVERSITY, ZARIA-NIGERIA, IN PARTIAL FULFILMENT FOR THE
AWARD OF MASTERS DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS,
AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA
Keywords
CONDUCTING FLUID,, VERTICAL MICRO-CHANNEL,, HALL EFFECT,, BUOYANCY DRIVEN FLOW,