Int. J. Advanced Networking and Applications Volume: 14 Issue: 05 Pages: 5632 - 5644 (2023) ISSN: 0975-0290 5632 G-Jitter Effects on Transient Natural Convection CouetteFlow in a Vertical Channel Ponnan Bako Department of Mathematics and Statistics, Plateau state polytechnic barkinladi-Nigeria E-mail: ponnanbako@rocketmail.com Abiodun O.Ajibade Department of Mathematics, Ahmadu Bello University, Zaria-Nigeria E-mail: aoajibade@abu.edu.ng -------------------------------------------------------------------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. As the amplitude of the g-jitter increases, the velocity of the fluid increases and also the influence of frequency of oscillations of g-jitter on mass flux and mean temperature depends on time. Keywords - Vertical channel, Natural convection, Couette flow, g-jitter. -------------------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: January 4, 2023 Date of Acceptance: February 20, 2023 -------------------------------------------------------------------------------------------------------------------------------------------------- 1 INTRODUCTION One of the basic flows in fluid mechanics is the Couette flow where the fluid motion is induced by movement of the bounding surface. The flow of a viscous incompressible fluid past an impulsively started horizontal flat plate was first studied by Stokes [1]. Singh and Kumar [2] investigated the formation of Couette flow of a viscous, incompressible and electrically conducting fluid between two infinite parallel plane walls in the presence of transverse magnetic field, by assuming that the magnetic lines of force are fixed relative to the moving plate for both the impulsive and accelerated motion of the moving plates and came out with the deduction that magnetic field increases the velocity field in both cases. The effect of natural convection on unsteady Couette flow was studied by Singh [3]. The Laplace transform technique was used to obtain the velocity and temperature fields, the skin- friction and rate of heat transfer. It was observed that an increase in the Grashof number results in an increase in the flow velocity. Jha[4] extended the work of Singh [3] by discussing the combined effects of natural convection and a uniform transverse magnetic field when the magnetic field is fixed relative to the plate or fluid. Using the Laplace transform technique, exact solutions were obtained for the velocity and temperature fields. The trends observed with respect to the magnetic parameter were consistent with those observed in Rossow[5]. Singh et al. [6] examined the effect of rotation on the unsteady hydromagneticCouette flow when one of the plates has been set into accelerated motion; they noticed a decrease in velocity due to rotation and an increase due to magnetic field. Fully-developed laminar free convection Couette flow between two vertical parallel plates with transverse sinusoidal injection of the fluid at the stationary plate and its corresponding removal by constant suction through the plate in uniform motion has been analyzed by Jain and Gupta [7]. The physical effect of external shear in the form of Couette flow of a Bingham fluid in a vertical parallel plane channel with constant temperature differential across the walls was investigated analytically by Barletta and Magyari[8]. Steady fully-developed combined forced and free convection Couette flow with viscous dissipation in a vertical channel has been investigated analytically by Barletta et al. [9],In this study, the moving wall is thermally insulated and the wall at rest is kept at a uniform temperature. The natural convection in unsteady Couette flow of a viscous incompressible fluid confined between two vertical parallel plates in the presence of thermal radiation has been studied by Narahari[10]. The study of heat generation/absorption effects in moving fluids is of importance in view of several physical problems such as those dealing with chemical reactions and those concerned with dissociating fluids, etc. Among the foundational works on effect of periodic heating on flows are the works of Sparrow and Gregg [11] and Chung and Anderson [12] that considered cases in which the surface temperature varies slightly about a Mean level, which is higher than the ambient temperature. Their studies were restricted to small amplitudes of the surface temperature variation. Nanda and Sharma [13] were also able to circumvent the limitation of the result for only small amplitude by separating the temperature and velocity into steady and oscillatory components, by using