Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Vera Coello, Marcos and Liñán Martínez, Amable (2010). Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions. "International Journal of Heat and Mass Transfer", v. 53 (n. 21-22); pp. 4885-4898. ISSN 0017-9310. https://doi.org/10.1016/j.ijheatmasstransfer.2010.06.004.

Description

Title: Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions
Author/s:
  • Vera Coello, Marcos
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: International Journal of Heat and Mass Transfer
Date: October 2010
ISSN: 0017-9310
Volume: 53
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Multilayered, counterflow, parallel-plate heat exchangers are analyzed numerically and theoretically. The analysis, carried out for constant property fluids, considers a hydrodynamically developed laminar flow and neglects longitudinal conduction both in the fluid and in the plates. The solution for the temperature field involves eigenfunction expansions that can be solved in terms of Whittaker functions using standard symbolic algebra packages, leading to analytical expressions that provide the eigenvalues numerically. It is seen that the approximate solution obtained by retaining the first two modes in the eigenfunction expansion provides an accurate representation for the temperature away from the entrance regions, specially for long heat exchangers, thereby enabling simplified expressions for the wall and bulk temperatures, local heat-transfer rate, overall heat-transfer coefficient, and outlet bulk temperatures. The agreement between the numerical and theoretical results suggests the possibility of using the analytical solutions presented herein as benchmark problems for computational heat-transfer codes.

Funding Projects

TypeCodeAcronymLeaderTitle
Madrid Regional GovernmentS-505/ENE/0229UnspecifiedUnspecifiedUnspecified

More information

Item ID: 32615
DC Identifier: http://oa.upm.es/32615/
OAI Identifier: oai:oa.upm.es:32615
DOI: 10.1016/j.ijheatmasstransfer.2010.06.004
Official URL: http://www.sciencedirect.com/science/article/pii/S001793101000308X
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 05 Nov 2014 09:16
Last Modified: 05 Dec 2014 11:34
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