Obtain the mathematical model of the thermal system in Fig. 1. Note: Consider the heat transmitted by convection q1(t) and q2(t), and the heat given by a resistance q(t). dT (t) (a) Variation of heat inside d(t) dT2(t) (b) Variation of heat in the wall d(t) Ta T2 T1 91 A1 A2 Fig.1 Consider p1, p1, and Cp1, Cp2 constants. U1 and U2 are overall heat transfer coefficients, which are constants. As is the surface area for heat losses to ambient. T1> Ta and T2> Ta (inlet temperatures are higher than ambient temperature).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.68P
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Obtain the mathematical model of the thermal system in Fig. 1. Note: Consider the
heat transmitted by convection q1(t) and q2(t), and the heat given by a resistance q(t).
dT1(t)
(a) Variation of heat inside
d(t)
dT2(t)
(b) Variation of heat in the wall
d(t)
Та
T2
T1
min
q1
A1
A2
Fig.1
Consider p1, p1, and Cp1, Cp2 constants.
U1 and U2 are overall heat transfer coefficients, which are constants.
As is the surface area for heat losses to ambient.
T1> Ta and T2> Ta (inlet temperatures are higher than ambient temperature).
Transcribed Image Text:Obtain the mathematical model of the thermal system in Fig. 1. Note: Consider the heat transmitted by convection q1(t) and q2(t), and the heat given by a resistance q(t). dT1(t) (a) Variation of heat inside d(t) dT2(t) (b) Variation of heat in the wall d(t) Та T2 T1 min q1 A1 A2 Fig.1 Consider p1, p1, and Cp1, Cp2 constants. U1 and U2 are overall heat transfer coefficients, which are constants. As is the surface area for heat losses to ambient. T1> Ta and T2> Ta (inlet temperatures are higher than ambient temperature).
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