Numerical experiments on thermal convection in a chemically stratified viscous fluid heated from below: implications for a model of lunar evolution

1998 ◽  
Vol 108 (1) ◽  
pp. 15-32 ◽  
Author(s):  
K.M Alley ◽  
E.M Parmentier
Keyword(s):  
Viscous Fluid ◽  
Thermal Convection ◽  
Numerical Experiments ◽  
Lunar Evolution ◽  
Stratified Viscous Fluid

Stability of Hydromagnetic Thermoconvective Flow Through Porous Medium

1973 ◽  
Vol 40 (4) ◽  
pp. 879-884 ◽  
Author(s):  
Prabhamani R. Patil ◽  
N. Rudraiah
Keyword(s):  
Porous Medium ◽  
Viscous Fluid ◽  
Normal Mode ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Thermal Convection ◽  
Stability Region ◽  
Flow Through ◽  
The Stability ◽  
Mode Technique

The stability of the onset of thermal convection of a conducting viscous fluid in a porous medium has been investigated using the linear (normal mode technique) and the non-linear (energy) stability theories. Both the theories show that the stability region is increased to the maximum extent when the usual viscous dissipation is also present in addition to the dissipation due to Darcy’s resistance and Joule heating.

scholarly journals A Spectral Solenoidal-Galerkin Method for Rotating Thermal Convection between Rigid Plates

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Cihan Yıldırım ◽  
Durmuş Yarımpabuç ◽  
Hakan I. Tarman
Keyword(s):  
Differential Equations ◽  
Thermal Convection ◽  
Parametric Study ◽  
Numerical Experiments ◽  
Spectral Representation ◽  
Basis Functions ◽  
Galerkin Procedure ◽  
Governing System ◽  
Dependent Variables ◽  
Nonlinear Simulations

The problem of thermal convection between rotating rigid plates under the influence of gravity is treated numerically. The approach uses solenoidal basis functions and their duals which are divergence free. The representation in terms of the solenoidal bases provides ease in the implementation by a reduction in the number of dependent variables and equations. A Galerkin procedure onto the dual solenoidal bases is utilized in order to reduce the governing system of partial differential equations to a system of ordinary differential equations for subsequent parametric study. The Galerkin procedure results in the elimination of the pressure and is facilitated by the use of Fourier-Legendre spectral representation. Numerical experiments on the linear stability of rotating thermal convection and nonlinear simulations are performed and satisfactorily compared with the literature.

Thermal Convection in a Thermosensitive Viscous Fluid with Inhomogeneous Cooling

2017 ◽  
Vol 86 (4) ◽  
pp. 043402 ◽  
Author(s):  
Kazuya U. Kobayashi ◽  
Noriko Oikawa ◽  
Rei Kurita
Keyword(s):  
Viscous Fluid ◽  
Thermal Convection
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