PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

An asymptotic analysis of convection in boundary layer flows in the presence of a chemical reaction

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study we investigate the stability of two-dimensional disturbances imposed on a boundary layer flow over a semi-infinite flat plate in the presence of a reacting chemical species. Species concentration levels are assumed to be small, what is typical for many processes in water and in atmospheric air. We exploit the multi-deck structure of the flow in the limit of large Reynolds numbers to analyze asymptotically the perturbed flow. The neutral eigenrelations are obtained implicitly and limiting cases for large buoyancy and reaction kinematics are investigated. The results show some interesting effects of the Damkohler number on the wave number and wave speed of the disturbed flow.
Rocznik
Strony
25--41
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Bindura University, P Bag 1020, Bindura, Zimbabwe
autor
  • School of Mathematics, University of KwaZulu-Natal, Private Bag X01 Scottsville 3209, Pietermaritzburg, South Africa
autor
  • Mathematics Department, University of Swaziland, Private Bag 4 Kwaluseni, Swaziland
Bibliografia
  • 1. J. P. Denier and E. W. Mureithi, Weakly nonlinear wave motions in thermally stratified boundary layer, J. Fluid Mech., 315, 293–316, 1996.
  • 2. J. S. B. Gajjar and F. T. Smith, On the global instability of free disturbances with time-dependent nonlinear viscous critical layers, J. Fluid Mech., 157, 53–77, 1985.
  • 3. B. Gebhart, Y. Jaluria, R.L. Mahajan and B. Sammakia, Buoyancy-induced flow and transport, Hemisphere, Washington DC 1988.
  • 4. B. Gebhart and L. Pera, The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, 2025–2050, 1971.
  • 5. K.R. Khair and A. Bejan, Mass transfer to natural convection boundary layer flow driven by heat transfer, Int. J. Heat Mass Transfer, 30, 369–376, 1985.
  • 6. H. T. Lin and W. S. Yu, Combined heat and mass transfer by laminar natural convection from a vertical plate, Heat and Mass Transfer, 30, 369–376, 1995.
  • 7. H. T. Lin and W. S. Yu, Combined heat and mass transfer by laminar natural convection from a vertical plate with uniform heat flux and concentration, Heat and Mass Transfer, 32, 293–299, 1995.
  • 8. A. Mongruel, M. Cloitre and C. Allan, Scaling of boundary-layer flows driven by double diffusive convection, Int. J. Heat Transfer, 1, 69–85, 1996.
  • 9. S. S. Motsa, J. S. B. Gajjar and P. Sibanda, On the upper-branch stability of boundary-layer flows over compliant surfaces with heating/cooling, Computer Assisted Mechanics and Engineering Sciences, 9, 163–181, 2002.
  • 10. I. Mulolani and R. Rahman, Similarity analysis for natural convection from a vertical plate with distributed wall concentration, Int. J. Math. and Math. Sci., 23, 5, 319–334, 1998.
  • 11. E. W. Mureithi, J. P. Denier and A. K. Stott, The effect of buoyancy on the upper-branch Tollmien–Schlichting waves, IMA J. Appl. Math., 58, 19–50, 1997.
  • 12. S. Ostrach, Natural convection with combined buoyancy forces, Physico-Chem. Hydrodyn, 1, 233–247, 1980.
  • 13. A. Selim, M. A. Hossain and D. A. S. Rees, The effect of surface mass transfer on mixed convection flow past a heated vertical flat permeable plate with thermophoresis, Int. J. Therm. Sc., 42, 973–982, 2003.
  • 14. F. T. Smith, On the non-parallel flow stability of the Blasius boundary layer, Proc. R. Soc. Lond. A, 366, 91–109, 1979.
  • 15. F. T. Smith, Nonlinear stability of boundary layers for disturbances of various sizes, Proc. R. Soc. Lond. A, 368, 573–589, 1979.
  • 16. F. T. Smith and R. J. Bodonyi, On the stability of the developing flow in a channel or circular pipe, Q. J. Mech. Appl. Maths., 33, 293–320, 1980.
  • 17. F. T. Smith and R. J. Bodonyi, Nonlinear critical layers and their development in streaming-flow stability, J. Fluid Mech., 118, 165–185, 1982.
  • 18. K. Stewartson, The theory of laminar boundary layers in compressible fluids, Oxford University Press, Clarendon 1964.
  • 19. J. S. Turner, Double-Diffusive phenomena, Ann. Review of Fluid Mech., 6, 37–56, 1974.
  • 20. L. W Wang, C. T. Chen and J. J. Chen, Flow patterns of convection in enclosure with vertical temperature and concentration gradients, Joint ASME/JSME, Thermal Engineering Conf. March 1987.
  • 21. L. W. Wang, P. J Wang, and Y. C Kung, Thermosolutal convection in a rectangular enclosure with upper multi-partitions in Cooperate case, Proceedings of PSFV IP − 3. 18–21, 2001 Maui, Hawaii, U.S.A. F3050.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0005-0024
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.