Title :
An analytic solution of steady Stokes flow on a rotating spherical cap
Author :
Kitauchi, Hideaki ; Simmons, Harper ; Ikeda, Motoyoshi
Author_Institution :
Frontier Res. Center for Global Change, Yokohama
Abstract :
An analytic solution of two-dimensional steady, linear, viscous flow on a spherical cap - the region of a sphere which lies above (or below) a given plane - rotating about its center is obtained. An inflow and an outflow on the boundary of the spherical section drive the fluid motion. The solution of the stream function is expressed as the Fourier series in longitude and the first-kind associated Legendre functions of complex degrees in cosine of colatitude. The results support the previous study on the approximation analysis and laboratory experiment
Keywords :
geophysical fluid dynamics; oceanography; rotational flow; viscosity; Fourier series; Legendre functions; approximation analysis; boundary inflow; boundary outflow; colatitude cosine; fluid motion; rotating spherical cap; steady Stokes flow; stream function; viscous flow; Angular velocity; Arctic; Boundary conditions; Fourier series; Geoscience; Gravity; Laboratories; Steady-state;
Conference_Titel :
OCEANS '04. MTTS/IEEE TECHNO-OCEAN '04
Conference_Location :
Kobe
Print_ISBN :
0-7803-8669-8
DOI :
10.1109/OCEANS.2004.1406346
