The leading edge effect in a suddenly differentially heated cavity

Feng Xu, John C. Patterson, Chengwang Lei

Abstract


We perform a two dimensional numerical simulation of transient natural convection in a suddenly differentially heated cavity in order to observe the initial transient flows, particularly the leading edge effect. The numerical results show that the pressure plays a key role in the origination and propagation of the leading edge effect and the deviation of the numerical solution from the theoretical solution is due to the neglect of the convection terms in the theoretical solution of the energy equation. Accordingly, the one dimensional conduction solution does not estimate the transport coefficients.

References
  • Mahajan, R. L. and Gebhart, B., Leading edge effects in transient natural convection flow adjacent to a vertical surface, J. Heat Transfer, 100, 731--733, 1978.
  • Patterson, J. C., Graham, T., Schˆpf, W. and Armfield, S. W., Boundary layer development on a semi-infinite suddenly heated vertical plate, J. Fluid Mech., 453, 39--55, 2002. doi:10.1017/S0022112001006553
  • Patterson, J. C. and Imberger, J., Unsteady natural convection in a rectangular cavity, J. Fluid Mech., 100, 65--86, 1980. doi:10.1017/S0022112080001012
  • Xu, F., Patterson, J. C. and Lei, C., Oscillations of the Horizontal Intrusion in a Side-heated Cavity, 15th Australasian Fluid Mechanics Conference, Sydney, 779--782, 2004.
  • Xu, F., Patterson, J. C. and Lei, C., Shadowgraph observations of the transition of the thermal boundary layer in a side-heated cavity, Exp. Fluids, 38, 770--779, 2005. doi:10.1007/s00348-005-0960-1
  • Armfield, S. W. and Patterson, J. C., Wave properties of natural-convection boundary layers, J. Fluid Mech., 239, 195--211, 1992. doi:10.1017/S0022112092004373
  • Armfield, S. W. and Patterson, J. C., Start-up flow on a vertical semi-infinite heated plate, Proc. 7th Australasian Heat and Mass Transfer, Townsville, 37--43, 2000.
  • Gebhart, B., Transient response and disturbance growth in vertical buoyancy-driven flows, J. Heat Transfer, 110, 1166--1174, 1988.
  • Goldstein, R. J. and Briggs, D. G., Transient free convection about vertical plates and cylinders, J. Heat Transfer, 86, 490--500, 1964.

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v48i0.134



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.