Magnetohydrodynamic free convection in a strong cross field
- 14 January 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 40 (01), 21-38
- https://doi.org/10.1017/s0022112070000022
Abstract
The problem of magnetohydrodynamic free convection of an electrically conducting fluid in a strong cross field is investigated. It is solved by using a singular perturbation technique. The solutions presented cover the range of Prandtl numbers from zero to order one. This includes both the important cases of liquid metals and ionized gases. A general examination is given of the role of the important parameters: Hartmann, Grashof and Prandtl numbers of the problem. This provides clear insight into its singular character and yields the correct expansion parameters. The boundary-layer approximations are derived from the complete Navier-Stokes and energy equations. The conditions for these approximations to be valid will be explicitly stated. Attention is given to ‘power law’ wall-temperatures and magnetic fields, and an assessment is given of the range of application.Keywords
This publication has 6 references indexed in Scilit:
- Axisymmetric free convection boundary-layer flow past slender bodiesInternational Journal of Heat and Mass Transfer, 1968
- Magnetohydrodynamic free convection in a strong cross-fieldZeitschrift für angewandte Mathematik und Physik, 1967
- Magnetohydrodynamic free convectionJournal of Fluid Mechanics, 1964
- First-Order Perturbations of Laminar Free-Convection Boundary Layers on a Vertical PlateJournal of Heat Transfer, 1964
- THERMAL CONVECTION IN MAGNETOHYDRODYNAMICSThe Quarterly Journal of Mechanics and Applied Mathematics, 1963
- On Asymptotic Expansions in the Theory of Boundary LayersJournal of Mathematics and Physics, 1957