spansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixec of 60°C and 10°C, respectively, at the leftmost ends of its hot arn s shown below. Suppose the bimorph has a uniform internal he 100 W/m³, and ignore the effects of convective heat transfer. (1) eady-state temperature distribution in the thermal bimorph. (2) ermally induced deformation and stresses in the bimorph if the ed on their left ends.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.8P
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9.5 The following thermal bimorph is made of Silicon with a thermal conductivity
k = 130 W/(m°C), Young's modulus E = 200 GPa, Poisson's ratio v = 0.27, and ther-
mal expansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixed tempera-
tures of 60°C and 10°C, respectively, at the leftmost ends of its hot arm and cold
arm, as shown below. Suppose the bimorph has a uniform internal heat genera-
tion at 100 W/m³, and ignore the effects of convective heat transfer. (1) Determine
the steady-state temperature distribution in the thermal bimorph. (2) Determine
the thermally induced deformation and stresses in the bimorph if the two arms
are fixed on their left ends.
Hot arm
Thot = 60°C
Cold arm
Tcold = 10°C
All dimensions are in millimeters.
6.000-
3.000
2.000
2.000
200
12.000
5.000
3.000
Transcribed Image Text:9.5 The following thermal bimorph is made of Silicon with a thermal conductivity k = 130 W/(m°C), Young's modulus E = 200 GPa, Poisson's ratio v = 0.27, and ther- mal expansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixed tempera- tures of 60°C and 10°C, respectively, at the leftmost ends of its hot arm and cold arm, as shown below. Suppose the bimorph has a uniform internal heat genera- tion at 100 W/m³, and ignore the effects of convective heat transfer. (1) Determine the steady-state temperature distribution in the thermal bimorph. (2) Determine the thermally induced deformation and stresses in the bimorph if the two arms are fixed on their left ends. Hot arm Thot = 60°C Cold arm Tcold = 10°C All dimensions are in millimeters. 6.000- 3.000 2.000 2.000 200 12.000 5.000 3.000
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