International Journal of Advanced Networking and Applications

Open Access Open Access  Restricted Access Subscription Access

G-Jitter Effects on Transient Natural Convection CouetteFlow in a Vertical Channel


Affiliations
1 Department of Mathematics and Statistics, Plateau state polytechnic barkinladi-Nigeria., Nigeria
2 Department of Mathematics, Ahmadu Bello University, Zaria-Nigeria., 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. 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.
User
Notifications
Font Size

  • . Stokes, C. G., On the effect of the internal friction of fluids on the motion of pendulums, Camb. Phil. Trans, IX, (1851), 8.

  • . Singh, A. K., and Kumar, N., Unsteady MagnetohydrodynamicCouette flow, Wear, 89, (1983), 125.

  • . Singh A.K., Natural convection in unsteady Couette motion, defense science journal, 38, 35- 41, 1988.

  • . Jha B.K., Natural convection in unsteady MHD Couette flow, Heat and mass transfer, 37, 329-331, 2001.

  • . Rossow V.J. on flow of electrically conducting Fluids over a flate plate in the presence oftransverse magnetic field. International Advisory committee for Aeronautics. Technical note 3971,1957.

  • . Singh, A. K., and Kumar, N., Unsteady magnetohydrodynamicCouette flow, Wear, 89, 125,1983.

  • . Jain N.C., and Gupta P., Three-dimensional free convection Couette flow with transpiration cooling, journal of Zhejiang University of sciences, 7, 340-346, 2006.

  • . Barletta A. and Magyari E., BouyantCouetteBingham flow between vertical parallel plates, international journal of thermal sciences, 47, 811-819, 2008.

  • . Barletta A., Lazzari S. and Magyari E., Bouyantpoiseuille-Couette flow with viscous Dissipation in a vertical channel, Zeitschriftfur angewandteMathematik and PhysikZAMP, 59, 1039-1056, 2008.

  • . M. Narahari, unsteady Couette flow of a viscous incompressible fluid confined between two vertical parallel plates in the presence of thermal radiation, International Journal of Applied Mathematics and Mechanics, Vol. 5, No. 3, pp. 30-46, 2010.

  • . Sparrow E.M., Gregg J.L., Newly quasisteady free-convection heat transfer in gases, J. Heat Mass Transf. 82, 258–260, 1960.

  • . Chung, P.M., Anderson, A.D.: Unsteady laminar free convection. Trans. ASME J. Heat Mass Transf. 83, 473–478, 1961

  • . Nanda R.J. and Sharma V.P., Free convection laminar boundary layer in oscillatory flow, J. Fluid Mech, 15, 419-428, 1963.

  • . Foraboschi F.P. and Federico I.D., Heat transfer in laminar flow of non-Newtonian heat generating fluids, Int. J. Heat mass transfer, 7, 315-318, 1964.

  • . Jha B.K., Transient free-convective flow in a vertical channel with heat sinks, Int. J. Appl. Mech. Eng., 6, 279-286, 2001.

  • . Jha B.K. and Ajibade A.O., Free convective of heat generating /absorbing fluid between vertical porous plates with periodic heat input, Int. Commun. Heat mass transfer, 36, 624- 631, 2009.

  • . Jha B.K., Samaila K.A., and Ajibade A.O., Natural convection flow ofheatgenerating/absorbing fluid near a vertical plate with ramped temperature, J. Encapsul.Adsorpt. Sci., doi:10.4236/jeas, 24009, 2012.

  • . Umavathi J.C., Sultana J., mixed convection flow in a vertical channel filled with porous medium with boundary conditions of the third kind with heat source/sink-Brinkman model, Int. J. Math. Arch, 4, 294-314, 2013.

  • . Jha B.K and Ajibade A.O, unsteady free convective Couette flow of heat generating/absorbingfluid,international journal of energy and technology. 2 (12) 1- 9,2010.

  • . Quintin T. Nethercott and M. Evelynn Walton, Determining the acceleration due to gravity with a simple pendulum, Department of physics, University of Utah, Salt Lake City, 84112, UT, USA, 2013 .

  • . Ramos J.I, G-jitter effects on mass transfer in Annular Liquid Jets, internationaljournal of numerical methods for heat and fluid flow, vol.6, No 5, 17-28, 1996.

  • . S. Shafie, N. Amin and I. Pop “g-Jitter free convection flow in the stagnationpointregionof a three-dimensional body" Mechanics Research Communications, vol. 34, pp. 115-122, 2007.

  • . N. Amin "The effect of g-jitter on heat transfer" Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 419, vol. 1856, pp. 151-172, 1988.

  • . A. J.Chamkha "Effects of heat generation on g-jitter induced natural convection flowin a channel with isothermal or isofluxwalls" Heat and mass transfer , vol. 39, pp. 553-560, 2003.

  • . S. Sharidan, N.Amin, and I. Pop. "G-jitter fully developed combined heat and mass transfer by mixed convection flow in a vertical channel", International communications in heat and mass transfer , vol. 32, pp. 657-665, 2005


Abstract Views: 191

PDF Views: 0




  • G-Jitter Effects on Transient Natural Convection CouetteFlow in a Vertical Channel

Abstract Views: 191  |  PDF Views: 0

Authors

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

References