Stability of differentially heated flow from a rotating sphere

作者：

Highlights：

• Differentially heated flow of a thin fluid layer from a rotating sphere has been investigated.

• A numerical solution procedure for solving the steady and unsteady equations has been proposed.

• An approximate analytical solution has been derived.

• A linear stability analysis has estimated a theoretical value for the onset of instability.

• Good agreement was found between numerical, analytical and theoretical results.

摘要

•Differentially heated flow of a thin fluid layer from a rotating sphere has been investigated.•A numerical solution procedure for solving the steady and unsteady equations has been proposed.•An approximate analytical solution has been derived.•A linear stability analysis has estimated a theoretical value for the onset of instability.•Good agreement was found between numerical, analytical and theoretical results.

论文关键词：Rayleigh–Bénard convection,Rotation,Thin flow,Analytical,Numerical,Stability

论文评审过程：Received 9 October 2014, Revised 9 March 2015, Available online 25 March 2015, Version of Record 15 August 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.03.025