Hydrothermal convection in moderately thin spherical shells.

Non-Fourier Heat Transfer Analysis of Functionally Graded Spherical Shells under Convection-Radiation Conditions

Non-Fourier heat transfer analysis of functionally graded (FG) spherical shells subjected to the radiative-convective boundary conditions at their inner and outer surfaces are presented. It is assumed that the material properties have continuous variations along the thickness direction. The incremental differential quadrature method (IDQM) as an accurate and computationally efficient numerical ...

Thin elastic shells with variable thickness for lithospheric flexure of one-plate planets

Planetary topography can either be modeled as a load supported by the lithosphere, or as a dynamical effect due to lithospheric flexure caused by mantle convection. In both cases the response of the lithosphere to external forces can be calculated with the theory of thin elastic plates or shells. On one-plate planets the spherical geometry of the lithospheric shell plays an important role in th...

Thermomechanical Buckling of Simply Supported Shallow FGM Spherical Shells with Temperature dependent Material

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surfa...

Oscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary Conditions

A five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells with fixed azimuthal symmetry, is derived. A low Prandtl number fluid of σ = 0.1 subject to radial gravity, filling a shell of radius ratio η = 0.35, differentiall...

“Unusual Properties of Convection and Dynamos in Rotating Spherical Shells”