3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an expression for the temperature u(x, t) if the bar is made of cast iron. Material a (cm?/s) Silver 1.71 Copper Aluminum 1.14 0.86 Cast iron 0.12 Granite 0.011 Brick 0.0038 Water 0.00144 Table 1: Thermal Diffusivity Constants for Common Materials
3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an expression for the temperature u(x, t) if the bar is made of cast iron. Material a (cm?/s) Silver 1.71 Copper Aluminum 1.14 0.86 Cast iron 0.12 Granite 0.011 Brick 0.0038 Water 0.00144 Table 1: Thermal Diffusivity Constants for Common Materials
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please solve question 3.
![3.
A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends
of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an
expression for the temperature u(x,t) if the bar is made of cast iron.
Material
a² (cm?/s)
Silver
1.71
1.14
Сopper
Aluminum
0.86
Cast iron
0.12
Granite
0.011
Brick
0.0038
Water
0.00144
Table 1: Thermal Diffusivity Constants for Common Materials](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f2030df-489c-4c06-8af8-a0bb3fa2ff8f%2F92617300-61c8-4f8b-99d2-1febf7d9df4f%2Fb3x7jxk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends
of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an
expression for the temperature u(x,t) if the bar is made of cast iron.
Material
a² (cm?/s)
Silver
1.71
1.14
Сopper
Aluminum
0.86
Cast iron
0.12
Granite
0.011
Brick
0.0038
Water
0.00144
Table 1: Thermal Diffusivity Constants for Common Materials
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