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).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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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