Showing papers on "Shell balance published in 2000"
TL;DR: In this article, an investigation of mixed convection and flow reversal in a vertical annular duct is presented with reference to laminar and fully developed flow of a power-law fluid.
17 citations
TL;DR: In this article, a numerical experiment of nonlinear three-dimensional magnetoconvection in a rapidly rotating spherical fluid shell to which a uniform magnetic field parallel to its spin axis is applied is studied.
Abstract: Dynamic interaction between magnetic field and fluid motion is studied through a numerical experiment of nonlinear three-dimensional magnetoconvection in a rapidly rotating spherical fluid shell to which a uniform magnetic field parallel to its spin axis is applied. The fluid shell is heated by internal heat sources to maintain thermal convection. The mean value of the magnetic Reynolds number in the fluid shell is 22.4 and 10 pairs of axially aligned vortex rolls are stably developed. We found that confinement of magnetic flux into anti-cyclonic vortex rolls was crucial on an abrupt change of the mode of magnetoconvection which occurred at Δ = 1 ∼ 2, where A is the Elsasser number. After the mode change, the fluid shell can store a large amount of magnetic flux in itself by changing its convection style, and the magnetostrophic balance among the Coriolis, Lorentz and pressure forces is established. Furthermore, the toroidal/poloidal ratio of the induced magnetic energy becomes less than unity, a...
13 citations
TL;DR: In this paper, a fluid with viscosity which depends on temperature and concentration is placed between two infinite parallel plates moving relative to each other with constant velocity, and the fluid equations of continuity, momentum, energy and concentration are obtained and solved analytically.
Abstract: A fluid with viscosity which depends on temperature and concentration is placed between two infinite parallel plates moving relative to each other with constant velocity. On the basis of certain simplifying assumptions, the fluid equations of continuity, momentum, energy and concentration are obtained and solved analytically. A non-linear integro-differential equation is derived which governs the fluid velocity component parallel to the walls and a parameter perturbation technique is suggested and utilized for its solution. Using the Padé approximants technique, the series summation and improvement is performed. The effect of viscosity variation due to variation in temperature and concentration on the fluid flow is discussed quantitatively. Quaestiones Mathematicae 23(2000), 59–66
2 citations