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Analytical Solution for the Matrix- and Fluid-Temperature Distribution in Rotating Regenerators FREE

[+] Author Affiliations
Michael Niggemann

Daimler-Benz AG, Stuttgart, West Germany

Paper No. 86-GT-198, pp. V002T04A007; 10 pages
doi:10.1115/86-GT-198
From:
  • ASME 1986 International Gas Turbine Conference and Exhibit
  • Volume 2: Aircraft Engine; Marine; Microturbines and Small Turbomachinery
  • Dusseldorf, West Germany, June 8–12, 1986
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7929-0
  • Copyright © 1986 by ASME

abstract

In a rotary regenerator, the matrix- and fluid-temperature distribution in space and time on either side (hot and cold) of the matrix is governed by a coupled system of partial differential equations (PDEs). These are derived from a heat balance under the usual assumption that heat transfer between fluid and matrix is by convection only.

The system of PDEs for the temperature distribution has generally been believed to be not analytically solvable in the case of a regenerator with finite heat transfer coefficients.

In this paper, the analytical solution is given by means of a Laplace transform combined with linear operator theory.

Furthermore, an iterative numerical scheme for calculating the regenerator performance under steady state and transient conditions, based on the analytical representation, is given.

Copyright © 1986 by ASME
Topics: Temperature , Fluids
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