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G-Jitter Effects on Transient Natural Convection Couette Flow in a Vertical Channel with Convective Boundary Condition


Affiliations
1 Department of Mathematics and Statistics, Plateau state polytechnic barkinladi, Nigeria
2 Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
 

This article investigates the effects of g-jitter on transient natural convection Couette flow in a vertical channel. Fully developed laminar time dependent flow is considered. The flow formation is caused by the buoyancy force arising from the temperature gradient as a result of asymmetric heating of parallel plates as well as constant motion of one of the plates. The method of Laplace transforms is used to obtain the expressions for temperature and velocity which are used to compute the Nusselt number, skin-friction, mass flux and Mean temperature in Laplace domain then the Riemann-sum approximation is used to invert our expressions from Laplace domain to time domain. During the course of investigation, it was found that the influence of heat generation/absorption parameter on the rate of heat transfer on one plate is the reverse of the influence on the other plate. Increase in convective coefficients of the bounding plates constitute an enhancement to heat transfer, skin friction, mass flux as well as mean temperature within the channel

Keywords

Vertical channel, Natural convection, Couette flow, g-jitter, Convective B.C.
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  • G-Jitter Effects on Transient Natural Convection Couette Flow in a Vertical Channel with Convective Boundary Condition

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Authors

Ponnan Bako
Department of Mathematics and Statistics, Plateau state polytechnic barkinladi, Nigeria
Abiodun O. Ajibade
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

Abstract


This article investigates the effects of g-jitter on transient natural convection Couette flow in a vertical channel. Fully developed laminar time dependent flow is considered. The flow formation is caused by the buoyancy force arising from the temperature gradient as a result of asymmetric heating of parallel plates as well as constant motion of one of the plates. The method of Laplace transforms is used to obtain the expressions for temperature and velocity which are used to compute the Nusselt number, skin-friction, mass flux and Mean temperature in Laplace domain then the Riemann-sum approximation is used to invert our expressions from Laplace domain to time domain. During the course of investigation, it was found that the influence of heat generation/absorption parameter on the rate of heat transfer on one plate is the reverse of the influence on the other plate. Increase in convective coefficients of the bounding plates constitute an enhancement to heat transfer, skin friction, mass flux as well as mean temperature within the channel

Keywords


Vertical channel, Natural convection, Couette flow, g-jitter, Convective B.C.

References