Thermal instabilities in rapidly rotating systems

From MaRDI portal
Publication:5630717

DOI10.1017/S0022112070001921zbMath0224.76041OpenAlexW2006214166MaRDI QIDQ5630717

Friedrich H. Busse

Publication date: 1970

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112070001921




Related Items (only showing first 100 items - show all)

Equatorial symmetry breaking and the loss of dipolarity in rapidly rotating dynamosScaling regimes in spherical shell rotating convectionAsymptotic scaling relations for rotating spherical convection with strong zonal flowsSpherical convective dynamos in the rapidly rotating asymptotic regimeAsymptotic theory for torsional convection in rotating fluid spheresOn the energetics of a two-layer baroclinic flowUnnamed ItemUnnamed ItemStratified precessional flow in spherical geometrySubcritical convection of liquid metals in a rotating sphere using a quasi-geostrophic modelRotating thermal convection in liquid gallium: multi-modal flow, absent steady columnsNon-local memory effects of the electromotive force by fluid motion with helicity and two-dimensional periodicityRossby waves andα-effectAsymptotic solutions of differential rotation driven by convection in rapidly rotating fluid spheres with the non-slip boundary conditionVector and scalar spherical harmonic spectral equations for rapidly rotating anisotropic alpha-effect dynamosRapidly rotating plane layer convection with zonal flowNonlinearity in a dynamoThe effect of stratification and compressibility on anelastic convection in a rotating plane layerFrom isotropic to rapidly rotating anisotropic alpha-squared dynamosHomogeneous planar and two-dimensional mean-field antidynamo theorems with zero mean flowThermal convection analysis in a rotating shell by a parallel finite‐element method—development of a thermal‐hydraulic subsystem of GeoFEMStability and bifurcation of planetary dynamo modelsHelicity generation and subcritical behaviour in rapidly rotating dynamosThe onset of strongly localized thermal convection in rotating spherical shellsA model of thermal convection in the major planets with a strongly density-stratified atmospheric layerOscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary ConditionsA detailed analysis of a dynamo mechanism in a rapidly rotating spherical shellOnset of plane layer magnetoconvection at low Ekman numberConvection in a rotating cylindrical annulus: thermal Rossby wavesConvection in rotating spherical fluid shells with inhomogeneous heat flux at the outer boundaryOn the inviscid flow in the earth's liquid coreNonlinear thermal inertial waves in rotating fluid spheresQuasi-geostrophic approximation of anelastic convectionThe onset of thermo-compositional convection in rotating spherical shellsLocalised thermal convection in rotating spheres that undergo weak precessionFree convection beneath a heated horizontal plate in a rapidly rotating systemSecondary fluid flow in a rotating narrow cylindrical annulus heated from the sideOn the internal structure and magnetic fields of venusNon-linear marginal convection in a rotating magnetic systemSpiralling columnar convection in rapidly rotating spherical fluid shellsAsymptotic theory of thermal convection in rapidly rotating systemsConvection in a rotating cylindrical annulus. Part 2. Transitions to asymmetric and vacillating flowAnalytical solution for large-scale rotating fluid layer with thermal convectionStability and bifurcation diagram of Boussinesq thermal convection in a moderately rotating spherical shell allowing rotation of the inner sphereAsymptotic theory of convection in a rotating, cylindrical annulusA study of Rayleigh-Bénard-Taylor convection in very-shallow, shallow, square and tall enclosuresConvection in a rotating cylindrical annulus Part 3. Vacillating and spatially modulated flowsConvection in a fluid layer with asymmetric boundary conditionsOn the onset of low-Prandtl-number convection in rotating spherical shells: non-slip boundary conditionsOn the onset of convection in rotating spherical shellsReynolds stresses and mean fields generated by pure waves: applications to shear flows and convection in a rotating shellCentrifugally driven thermal convection at high Prandtl numbersConvective heat transfer in an annular fluid layer with centrifugal force fieldSolitary magnetostrophic Rossby waves in spherical shellsCentrifugally driven compressible convectionElectrically driven convection in a thin annular film undergoing circular Couette flowFinite-amplitude convection in rotating spherical fluid shellsTriadic resonances driven by thermal convection in a rotating sphereLinear theory of compressible convection in rapidly rotating spherical shells, using the anelastic approximationCoriolis effect on centrifugal buoyancy-driven convection in a thin cylindrical shellConvection in a rapidly rotating spherical shell with an imposed laterally varying thermal boundary conditionBuoyancy driven instabilities in rotating layers with parallel axis of rotationTime dependent β-convection in rapidly rotating spherical shellsEuler equations in geophysics and astrophysicsAnalysis of centrifugal convection in rotating pipesConvective flows in rapidly rotating spheres and their dynamo actionRadius ratio dependency of the instability of fully compressible convection in rapidly rotating spherical shellsTransition to two-dimensional turbulent convection in a rapidly-rotating annulusForce balance in rapidly rotating Rayleigh–Bénard convectionThe cross-over to magnetostrophic convection in planetary dynamo systemsDynamo theory then and nowGeneration of magnetic fields by fluid motions of global scaleFlow instabilities of liquid and mushy regions during alloy solidification and under high gravity environment induced by rotationConvection in rapidly rotating spherical fluid shellsNonlinear convection in an imposed horizontal magnetic fieldThe role of mean circulation in parity selection by planetary magnetic fieldsAn experimental and theoretical investigation of the onset of convection in rotating spherical shellsOptimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layerA model of mean zonal flows in the major planetsA Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containersConvective instability when the temperature gradient and rotation vector are oblique to gravity. I. Fluids without diffusionCentrifugal effects in rotating convection: nonlinear dynamicsPhysical interpretation of spiralling-columnar convection in a rapidly rotating annulus with radial propagation properties of Rossby wavesConvective instability when the temperature gradient and rotation vector are oblique to gravity. II. Real fluids with effects of diffusionOn the transition to columnar convectionOn the Finite amplitude thermal instability of a rapidly rotating fluid sphereConvection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at finite Prandtl numberRadial collocation methods for the onset of convection in rotating spheresAxisymmetric convection in a rotating sphere: Part 2. Non-slip surfaceTurbulent convection within rapidly rotating superadiabatic fluids with horizontal temperature gradientsAnalytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesisOn the retrograde propagation of critical thermal convection in a slowly rotating spherical shellClosed periodic orbits of convective solutions in rapidly rotating system: Double torus knots and links, DTKLarge-scale vortices and zonal flows in spherical rotating convectionLinear Magnetoconvection in Rotating Fluid Spheres Permeated by a Uniform Axial Magnetic FieldNonlinear Convection in a Rotating Annulus with a Finite GapA nonlinear dynamo driven by rapidly rotating convectionDeep two-dimensional turbulence: An idealized model for atmospheric jets of the giant outer planetsConvection in rotating annular channels heated from below. Part 1. Linear stability and weakly nonlinear mean flowsConvection in rotating annular channels heated from below. Part 2. Transitions from steady flow to turbulence



Cites Work


This page was built for publication: Thermal instabilities in rapidly rotating systems