RESEARCH PAPERS: Forced Convection

Discrete Green’s Function Measurements in Internal Flows

[+] Author and Article Information
Charles Booten

Department of Mechanical Engineering,  Stanford University, Stanford, CA 94305-3030booten@stanford.edu

John K. Eaton

Department of Mechanical Engineering,  Stanford University, Stanford, CA 94305-3030eaton@vk.stanford.edu

This interpretation was suggested by a reviewer.

J. Heat Transfer 127(7), 692-698 (Feb 02, 2005) (7 pages) doi:10.1115/1.1924567 History: Received May 04, 2004; Revised February 02, 2005

The discrete Green’s function (DGF) for convective heat transfer was measured in a fully developed, turbulent pipe flow to test a new technique for simple heat transfer measurement. The 10×10 inverse DGF, G1, was measured with an element length of approximately one pipe diameter and Reynolds numbers from 30,000 to 100,000 and compared to numerical predictions using a parabolic flow solver called STANTUBE. The advantages of using the DGF method over traditional heat transfer coefficients in predicting the thermal response for flows with nonuniform thermal boundary conditions are also demonstrated.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 3

Schematic of experiment

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Figure 4

Velocity profile at upstream end of heated element with uncertainty indicated by symbol size

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Figure 5

Test section exploded view

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Figure 6

Circumferential temp distribution on copper and PVC pipe, Re=60,000

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Figure 7

Experimental temperature rise distribution Re=60,000

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Figure 8

Comparing elements of G−1 for Re=60,000

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Figure 9

Error in Gcorrected−1 normalized by main diagonal element vs Reynolds number

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Figure 10

Experimental and STANTUBE DGF compared to standard correlation for “h” for sinusoidal boundary conditions, Re=60,000

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Figure 1

Semianalytical G−1 compared to STANTUBE G−1 for heat flux of 1500W∕m2, Re=60,000

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Figure 2

Comparing G−1 and the inverse of G, Re=60,000



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