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TECHNICAL PAPERS: General

Using the Concept of Information to Optimally Design Experiments With Uncertain Parameters

[+] Author and Article Information
A. F. Emery

University of Washington, Seattle, WA 98195-2600e-mail: emery@u.washington.edu

J. Heat Transfer 123(3), 593-600 (Nov 28, 2001) (8 pages) doi:10.1115/1.1370520 History: Received January 20, 2000; Revised November 28, 2001
Copyright © 2001 by ASME
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References

Figures

Grahic Jump Location
(a) Values of L for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=4.0 for Bi0=1 and σh/h̄0=0.1; (b) locus of minimum values of L for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=4.0 for Bi0=1 and σh/h̄0=0.1; (c) locus of minimum values of L for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=2.0 for Bi0=1 and σh/h̄0=0.1; and (d) locus of minimum values of L for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=0 at equal time increments from 0 to Fo=4.0 for Bi0=1 and σh/h̄0=0.1.
Grahic Jump Location
Values of ki computed from Eq. (9) for a sensor at x=L
Grahic Jump Location
(a) Locus of minimum values of L for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=2.0 for Bi0=1 and σh/h̄0=0.1 using Eq. (16); and (b) increment of Information provided by a temperature read at Fo for a heat flux applied at L for Bi0=1 and σh/h̄0=0.1 using Eq. (16).
Grahic Jump Location
(a) Information contributed by each temperature reading as a function of sensor position and sampling time for a heat flux applied at x=L for Bi0=10 and σh=0; and (b) information contributed by each temperature reading as a function of sensor position and sampling time for convection at x=L for Bi0=BiL=10 and σh=0.
Grahic Jump Location
(a) Information contributed by each temperature reading for a heat flux applied at x=L for Bi0=10 and σh/h̄0=0.1; (b) information contributed by each temperature reading for convection at x=L for Bi0=BiL=10, and σh/h̄0=0.1; and (c) information contributed by each temperature reading for convection at x=L for Bi0=BiL=1, and σh/h̄0=0.1.
Grahic Jump Location
(a) Values of LS as a function of k and h for a heat flux applied at x=L using 20 temperatures measured at x=L at equal time increments from 0 to Fo=4.0 for Bi0=1 and σh=0; and (b) locus of minimum values of LS for a heat flux applied at x=L as a function of k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=4.0 for Bi0=1 and σh=0.
Grahic Jump Location
Locus of minimum values of LS for a heat flux applied at x=L as a function k and h using 20 temperatures measured at x=L at equal time increments from 0 to Fo=2.0 for Bi0=1 and σh=0

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