International Journal of Advanced Networking and Applications

Open Access Open Access  Restricted Access Subscription Access

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.
User
Notifications
Font Size

  • Chen H., Saghir MZ, Quon DHH, Chehab S., Numerical study on transient convection in float zone induced by g-jitter, J Crystal Growth, 4, 142-362, 1994.

  • Li B.Q., G-jitter induced free convection in a transverse magnetic field. Int.J. Heat Mass Tran, 39, 2853- 60. 1999.

  • Chen CF, Chen WY, Effect of gravity modulation on the stability of convection in a vertical slot, J. of Fluid Mech, 395, 327-344, 1999.

  • Farooq A.; Homsy G. M., Streaming flows due to gjitter- induced natural convection, J. Fluid Mech., vol.271, pp351-378,1994.

  • Farooq A.; Homsy G. M., Linear and non-linear dynamics of a differentially heated slot under gravity modulation, J. Fluid Mech., vol.313, pp1-38,1996.

  • Amin N., The effect of g-jitter on heat transfer, proceedings of the royal society of London. Mathematica and physical sciences 419, 1856, 151-172, 1988.

  • Shu Y., Li BQ and Groh HC, Numerical study of gjitter induced double-diffusive convection, Numer. Heat Transfer, 39, 245-265, 2001.

  • Shu Y., Li BQ and Groh HC ,Magnetic damping of gjitter induced double-diffusive convection, Numer. Heat transfer, 42, 345-364, 2002.

  • Rees DAS and Pop I., g-jitter induced free convection near a stagnation point, Int. j. Heat and mass transfer, 37, 403-408, 2001.

  • Deka R.K., and Soundalger V.M., gravity modulation effect on transient free- convectionflow past an infinite vertical is othermal plate. Defence Sci.J.56, 477-83, 2006.

  • Shafie S., Amin N. and Pop I., g-jitter free convection flow in the stagnation point region of a three-dimensional body, Mechanics Research Communications, 34,115-122, 2007.

  • Saini B.S., Rajvanshi S.C., and Garwal P.A., Effect of gravity fluctuation on free convection flow. Int.J. Theo. App.Sci.2, 12-5, 2010.

  • Wasu S. and Rajvanshi SC, MHD flow past an infinite plate under the effect of gravity modulation, Mathematics in science and Technology: Math. Meth., Models and Alg. In Sci and Tech.,World Scien-tific Publishers, 510-523, 2011. [14] Bhadauria BD, Hashim I, Siddheshwar PG, Effects of time-periodic thermal boundary conditions and internal heating on heat transport in a porous medium, Transp. Porous Med 97, 185–200, 2013 .

  • Dey D., Gravity modulation effects of hydro magneticelastico-viscous fluid flow past a porous plate in slip flow regime, Appl. Math., 2014, Article ID 492906, 7 pages, 2014.

  • Bataller RC., Radiation effects for the Blasius and Sakiadis flow with a convective surface boundary conditions, Appl. Math. Comput., 206, 832–840, 2008.

  • Yao S., Fang T., and Zhong Y., Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions, Commun Nonlinear Sci. Numer. Simulat 2, 752–760, 2011.

  • Hammad MAA, Uddin MJ and Ismail AIM, Radiation effects on heat and mass transfer in MHD stagnation-point flow over a permeable flat plate with thermal convective surface boundary condition. Nuclear Eng. Design 242, 194– 200, 2012 .

  • Vajravelu K, Prasad KV, Ng C, Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties. Nonlinear Anal: Real World Appl14 (1), 455–464, 2013.

  • 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 magneto hydro dynamic Couette 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 aflate plate in the presence of transverse magnetic field. International Advisory committee for Aeronautics. Technical note 3971, 1957.

  • Singh, A. K., and Kumar, N., Unsteady magneto hydro dynamicCouette 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., BouyantCouette- Bingham flow between vertical parallel plates, international journal of thermal sciences, 47, 811-819, 2008.

  • Barletta A., Lazzari S. and Magyari E., Bouyant poiseuille-Couette flow with viscous Dissipation in a vertical channel, Zeitschrift fur angewandteMathematik and Physik ZAMP, 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, 2010, pp. 30-46.

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

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


Abstract Views: 179

PDF Views: 0




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

Abstract Views: 179  |  PDF Views: 0

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