Related Experiment Video
Updated: Apr 23, 2026

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
Published on: December 1, 2023
A computational model for the dynamic stabilization of Rayleigh-Bénard convection in a cubic cavity
Randy M Carbo1, Robert W M Smith2, Matthew E Poese2
1Graduate Program in Acoustics, The Pennsylvania State University, P.O. Box 30, State College, Pennsylvania 16804.
Abstract:
The dynamic stability of Rayleigh-Bénard convection with vertical vibration in a cubic container is computationally modeled. Two parametric drives are considered (sinusoidal and rectangular), as well as two thermal boundary conditions on the sidewalls (insulating and conducting). The linearized equations are solved using a spectral Galerkin method and Floquet analysis. Both the synchronous and the subharmonic regions of instability are recovered. The conditions necessary for dynamic stability are reported for a range of Rayleigh numbers from critical to 10(7) and for Prandtl numbers in the range of 0.1-7. The linear model is compared to the data set available in the literature where the performance of an inverted pulse tube cryocooler is measured.
Related Concept Videos
Navier–Stokes Equations
Steady, Laminar Flow in Circular Tubes
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Couette Flow
Steady, Laminar Flow Between Parallel Plates
Magnetostatic Boundary Conditions

