A Self-Similar Solution of Navier–Stokes and Energy Equations for Rotating Flows between a Cone and a Disk

Author: Shevchuk I.V.

Source: High Temperature, Volume 42, Number 1, January 2004 , pp. 104-110(7)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

Abstract:

A laminar flow and heat transfer are investigated in a gap between a disk and a cone which touches the disk by its apex. Group analysis is used to reduce the Navier–Stokes and energy equations to a self-similar form which enables one to derive their exact numerical solution. Calculations are performed for cases of cone rotation with a stationary disk, disk rotation with a stationary cone, and simultaneous rotation of the disk and cone at different velocities for several values of the exponent in the power-law radial distribution of the disk temperature and Prandtl number of 0.71. The calculation results for the case of cone rotation with a stationary disk agree well with the known experimental data.

Keywords: laminar flow and heat transfer; gap between a disk and a cone; numerical simulation

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:HITE.0000020097.59838.02

Affiliations: 1: Institute of Engineering Thermophysics, Ukrainian National Academy of Sciences, Kiev, 03187 Ukraine

Publication date: 2004-01-01