The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1954 · 61 citations · 2 references
Natural SciencesPhysicsElectromagneticsElectromagnetismHeat TransferConvection DynamicsMagnetohydrodynamicsConvectionThermal ConvectionThermal Convection StabilityVariational Problems
Summary The analysis contained in an earlier paper on the inhibition of thermal convection by a magnetic field is extended to include the case when the impressed magnetic field (H) acts in a direction different from that of gravity (g). A variational method is described for determining the critical Rayleigh number for the onset of convection of any preassigned pattern ; and the result is established that when H and g act in different directions the convection which appears at marginal stability is in the form of rolls extended in directions parallel to the plane containing H and g.
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