Induced Flow in Uniformly Heated Vertical Annuli With Rotating Inner Walls

Abstract

This investigation is about laminar natural convection through an open-ended vertical annulus with a rotahg inner cylinder, one uni/ormly heated boundary, and one adiabatic bounhry. The boundary-layer equations governing this case have been solved by means of a finite-difference scheme and results are presented for a fluid of Pr = 0.7 in an annulus of radius rm'o 0.5. These results cloni/y the characteristics of the inducedflow due to a constant heat flux at one of the boundaries. The development of the tangenrial boundary-layer displacement thickness is also given, so that Astill's criterion for hydrodynamic instabilify can be utilized.

Conjugate Natural Convection: A Study of Optimum Fluid Flow and Heat Transfer in Eccentric Annular Channels

“…e resulting equations from the application of equation ( 2) at each annular channel interior grid node along with that equation resulting from expressing the integral continuity equation using the trapezoidal rule are put in a matrix form. is matrix form of the system of equations is resolved using a modified form of the Gauss-Jordan elimination technique, which was previously used by El-Shaarawi [45]. To compute the W-velocity component, the tangential ξ-momentum equation ( 3) is solved by means of Gauss-Seidel iteration.…”