Fast viscous bénard convection
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 12 (1) , 235-272
- https://doi.org/10.1080/03091927908242692
Abstract
We have previously described a method for the precise study of steady two-dimensional convection problems in the asymptotic limit of large Rayleigh number R, assuming a very viscous fluid with the Prandtl number effectively infinite. The method here is applied to cellular convection between isothermal horizontal planes (Bénard convection). The result for the dimensionless heat flux, or Nusselt number, is where c is ⅓ for free-surface convection and ⅕ for fixed surface convection. The constant b is found numerically, as a function of the cell aspect ratio. Previous approximate analyses have obtained c values of ⅓ and ¼ for the two cases; b values were not determined.This publication has 12 references indexed in Scilit:
- fast viscous convectionGeophysical & Astrophysical Fluid Dynamics, 1977
- Two-dimensional Rayleigh-Benard convectionJournal of Fluid Mechanics, 1973
- Finite amplitude doubly diffusive convectionJournal of Fluid Mechanics, 1972
- Dynamics of Variable Wavelength in Finite-Amplitude Bénard ConvectionPhysics of Fluids, 1971
- Thermal convection in high prandtl number liquids at high rayleigh numbersInternational Journal of Heat and Mass Transfer, 1969
- Laminar convection cells at high Rayleigh numberJournal of Fluid Mechanics, 1969
- Finite amplitude convection cellsJournal of Fluid Mechanics, 1967
- A boundary-layer theory for cellular convectionInternational Journal of Heat and Mass Transfer, 1967
- Finite amplitude convective cells and continental driftJournal of Fluid Mechanics, 1967
- Numerical Solutions of the Nonlinear Equations for a Heated Fluid LayerPhysics of Fluids, 1965