Finite Analytic Solution of Convective Heat Transfer for Tube Arrays in Crossflow: Part I—Flow Field Analysis

[+] Author and Article Information
Tzong-Shyan Wung, Ching Jen Chen

Department of Mechanical Engineering, Iowa Institute of Hydraulic Research, College of Engineering, The University of Iowa, Iowa City, IA 52242

J. Heat Transfer 111(3), 633-640 (Aug 01, 1989) (8 pages) doi:10.1115/1.3250729 History: Received November 11, 1987; Online October 20, 2009


The convective motion in two types of tube array is solved numerically by the Finite Analytic Method. The Finite Analytic Method utilizes the local analytic solution of governing differential equations in obtaining its discretized algebraic representation. Both in-line tube arrays and staggered tube arrays with longitudinal and transverse pitches of 2 are studied. The geometries are expressed in boundary-fitted coordinates on which the Navier–Stokes equations and energy equation are solved. Solutions for Reynolds numbers of 40, 120, 400, and 800 are obtained. Differences in stream function, vorticity function, and location of separation and reattachment for flow past in-line tube arrays and staggered tube array are predicted and compared. The zone of separation for both arrays tends to increase with increasing Reynolds number. The predicted results on flow field and heat transfer are shown to agree with available experimental measurements.

Copyright © 1989 by ASME
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