196
Views
1
CrossRef citations to date
0
Altmetric
Articles

Convection in an internally cooled fluid layer heated from below

ORCID Icon &
Pages 20-35 | Received 10 Aug 2016, Accepted 03 Sep 2017, Published online: 02 Oct 2017

References

  • Berlengiero, M., Emanuel, K., von Hardenberg, J., Provenzale, A. and Spiegel, E., Internally cooled convection: A fillip for Philip. Commun. Nonlinear Sci. Numer. Simulat. 2006, 2006, 355–362.
  • Busse, F.H., Spoke pattern convection. Acta Mech. 1994, 4, 11–17.
  • Busse, F.H., Remarks on the critical value Pc=0.25 of the Prandtl number for internally heated convection found by Tveitereid and Palm. European J. Mechanics B/Fluids 2014, 47, 32–34.
  • Busse, F.H. and Whitehead, J.A., Oscillatory and collective instabilities in large Prandtl number convection. J. Fluid Mech. 1974, 66, 67–79.
  • Goluskin, D., Internally Heated Convection and Rayleigh-Bénard Convection, SpringerBriefs in Thermal Engineering and Applied Science, 2015 (Cham: Springer).
  • Hartlep, T. and Busse, F., Convection in an internally cooled fluid layer heated from below. CTR Ann. Res. Briefs 2006, 17, 1998–2007.
  • Hartlep, T. and Tilgner, A., Rayleigh-Bénard convection at large aspect ratios. In High Performance Computing in Science and Engineering ’03, pp. 343–357, 2003. Berlin: Springer
  • Hartlep, T., Tilgner, A. and Busse, F.H., Large scale structures in Rayleigh-Bénard convection at high Rayleigh numbers. Phys. Rev. Lett. 2003, 91, 064501.
  • Hartlep, T., Tilgner, A. and Busse, F.H., Transition to turbulent convection in a fluid layer heated from below at moderate aspect ratio. J. Fluid Mech. 2005, 554, 309–322.
  • He, X., Funfschilling, D., Nobach, H., Bodenschatz, E. and Ahlers, G., Transition to the ultimate state of turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 2012, 108, 024502.
  • Kerr, R.M., Rayleigh number scaling in numerical convection. J. Fluid Mech. 1996, 310, 139–179.
  • Kulacki, F.A. and Emara, A.A., Steady and transient thermal convection in a fluid layer with uniform volumetric energy sources. J. Fluid Mech. 1977, 83, 375–395.
  • Kulacki, F.A. and Goldstein, R.J., Hydrodynamic instability in fluid layers with uniform volumetric energy sources. Appl. Sci. Res. 1975, 31, 81–109.
  • Moser, R.D., Moin, P. and Leonard, A., A spectral numerical method for the Navier Stokes equations with application to Taylor Couette flow. J. Comp. Phys. 1983, 54, 524–544.
  • Parodi, A., von Hardenberg, J., Passoni, G., Provenzale, A. and Spiegel, E., Clustering of plumes in turbulent convection. Phys. Rev. Lett. 2004, 92, 194503.
  • Scheel, J.D. and Schumacher, J., Local boundary layer scales in turbulent Rayleigh-Bénard convection. J. Fluid Mech. 2014, 758, 344–373.
  • Shang, X.D., Qiu, X.L., Tong, P. and Xia, K.Q., Measured local heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 2003, 90, 074501.
  • Tveitereid, M. and Palm, E., Convection due to internal heat sources. J. Fluid Mech. 1976, 76, 481–499.
  • von Hardenberg, J., Parodi, A., Passoni, G., Provenzale, A. and Spiegel, E., Large-scale pattern in Rayleigh-Bénard convection. Phys. Lett. A 2008, 372, 2223–2229.
  • Weinstein, S. and Olson, P., Planforms in thermal convection with internal heat sources at large Rayleigh and Prandtl numbers. Geophys. Res. Lett. A 1990, 17, 239–242.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.