Abstract

A reexamination is made of convection, induced by an applied temperature gradient inclined to the vertical, in a shallow horizontal layer. The horizontal component of this gradient induces a Hadley circulation, which becomes unstable when the vertical component is sufficiently large. A linear stability analysis is carried out, for the case of rigid conducting horizontal boundaries, in terms of horizontal and vertical Rayleigh numbers, R H and R V, respectively. This analysis is valid for any Prandtl number, Pr, and incorporates the case, R V = 0. The differential equation system is solv ed using a direct Galerkin approximation. This is convenient for numerical calculations in the parameter range of interest and also enables some general results to be obtained analytically. The results confirm and extend those of previous investigators.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call