THERMAL SCIENCE

International Scientific Journal

Ganesan Periyanagounder

,

Suganthi Renugopal Kanniappan

,

Loganathan Parasuraman

DOUBLY STRATIFIED EFFECTS IN A FREE CONVECTIVE FLOW OVER A VERTICAL PLATE WITH HEAT AND MASS TRANSFER

ABSTRACT
An analysis is performed to study the effects of thermal and mass stratification in a transient free convective flow of a viscous, incompressible fluid past an isothermal vertical plate. The governing boundary layer equations are solved numerically using an implicit finite difference scheme of Crank-Nicolson type. The doubly stratified effects on the velocity, temperature and concentration are shown graphically. It is observed that an increase in thermal stratification parameter decreases the velocity, temperature profiles and increases the concentration profiles. As well, increase in mass stratification parameter decreases the velocity, concentration profiles and increases the temperature profiles. Also, the influence of the thermal and mass stratification parameter on local as well as average skin-friction, the rate of heat and mass transfer are discussed and presented graphically. The results are compared with particular solutions available in the literature. The present results are found to be in good agreement with the existing particular solution of the problem.
KEYWORDS
transient, isothermal, thermal stratification, mass stratification, buoyancy
PAPER SUBMITTED: 2011-10-06
PAPER REVISED: 2012-08-15
PAPER ACCEPTED: 2012-10-26
DOI REFERENCE: https://doi.org/10.2298/TSCI111006202P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 2, PAGES [365 - 376]
REFERENCES
  1. Siegel, R., Transient free convection from a vertical flat plate, Trans. ASME, 80(1958), pp. 347-359.
  2. Hellums, J. D., Churchill, S. W., Transient and steady state, free and natural convection, numerical solutions, Part I, The isothermal vertical plate, A.I.CH.E. Jl., 8(1962), pp. 690-692.
  3. Callahan, G. D., Marner, W. J., Transient free convection with mass transfer on an isothermal vertical flat plate, Int. J. Heat Mass Transfer, 19(1976), pp. 165-174.
  4. Gebhart, B., Pera, L., The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14(1971), pp. 2025-2050
  5. Soundalgekar, V. M., P. Ganesan, Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate, International Journal of Engineering Science, 19 (1981), pp. 757-770.
  6. Ogulu, A. and Makinde, O. D.'Unsteady hydromagnetic free convection flow of a dissipative and radiating fluid past a vertical plate with constant heat flux, Chemical Engineering Communications, 196(2009), pp. 454 - 462.
  7. Shyam Sunder TAK., Rajeev MATHUR., Rohit Kumar GEHLOT., and Aiyub KHAN., MHD free convection-radiation interaction along a vertical surface embedded in Darcian porous medium in presence of Soret and Dufour's effects, Thermal science, 14(2010), pp. 137-145
  8. Makinde, O. D., On MHD mixed convection with Soret and Dufour effects past a vertical plate embedded in a porous medium. Latin American Applied Research, 41(2011), pp. 63-68.
  9. Makinde, O. D., Olanrewaju, P.O., Unsteady mixed convection with Soret and Dufour effects past a porous plate moving through a binary mixture of chemically reacting fluid, Chemical Engineering Communications, 198 (2011), pp. 920-938
  10. Makinde, O. D., Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition, Thermal science, 15(2011), Suppl. 1, pp. S137-S143
  11. Satishkumar, N.V, Patel, A.G, Maheswari, N.K, Vijayan, P.K. and Saha, D., Thermal stratification studies related to the passive decay heat removal system of advanced heavy water reactor, Bhabha atomic research centre, www.iaea.org/OurWork/ST/NE/NENP/NPTDS/Downloads/SRCM_NCP_2005_AUG/sess3_phen1_vijayan.pdf
  12. Chen, C. C., Eichhorn, R., Natural convection from a vertical surface to a thermally stratified fluid, ASME Journal of Heat Transfer, 98(1976), pp. 446-451
  13. Srinivasan, J., Angirasa, D., Numerical study of double-diffusive free convection from a vertical surface, Int. J. Heat Mass Transfer, 31(1988), pp. 2033-2038
  14. Angirasa, D., Srinivasan, J., Natural convection flows due to the combined buoyancy of heat and mass diffusion in a thermally stratified medium, ASME Journal of Heat Transfer, 111(1989), pp. 657-663
  15. Saha, S. C., Hossain, M. A., Natural convection flow with combined buoyancy effects due to thermal and mass diffusion in thermally stratified media, Non-linear Analysis: Modelling and Control, 9(2004), pp. 89-102
  16. Geetha, P., Moorthy, M. B. K., Variable Viscosity, Chemical reaction and thermal stratification effects on mixed convection heat and mass transfer along a semi-infinite vertical plate, American Journal of Applied Sciences, 8(2011), pp. 628-634
  17. Noor Halini Baharim., Razali Ismail., Mohamad Hanif omar., Effects of thermal stratification on the concentration of iron and manganese in a tropical water supply reservoir, Sains Malaysiana, 40(2011), pp. 821-825.
  18. Rathish kumar, B. V., Shalini Gupta, Combined influence of mass and thermal stratification on double-diffusion non-darcian natural convection from a wavy vertical wall to porous media, Journal of heat transfer, 127(2005), pp. 637-647
  19. Herrmann Schlichting, Boundary Layer Theory. John Wiley and Sons, New York, 1969
  20. Carnahan, B., Luther, HA., Wilkes, JO., Applied Numerical Methods. John Wiley and Sons, New York, 1969
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Doubly stratified effects in a free convective flow over a vertical plate with heat and mass transfer

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