à long insulated tube is doped with an exothermic ma- erial which generates steady and uniform heat at rate fè [W/m³]. The tube has an inner radius r₁ and outer adius r2. The temperature of the outer insulated sur- ace is T2. This tube is used to heat a liquid flowing mrough it. (a) Write the governing differential equation and boundary conditions to determine the tempera- ture distribution inside the tube. (b) What is the heat flux supplied to the liquid by the tube? e (√₂-₁)/2 r₁ Fluid Figure 2: Schematic Insulation T₂ 1~

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
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A long insulated tube is doped with an exothermic ma-
terial which generates steady and uniform heat at rate
of è [W/m³]. The tube has an inner radius r₁ and outer
radius r₂. The temperature of the outer insulated sur-
face is T₂. This tube is used to heat a liquid flowing
through it.
(a) Write the governing differential equation and
boundary conditions to determine the tempera-
ture distribution inside the tube.
(b) What is the heat flux supplied to the liquid by the
tube?
e (√₂²-1₁²) / 21₁
1
Fluid
Figure 2: Schematic
Insulation
T₂
N
Transcribed Image Text:A long insulated tube is doped with an exothermic ma- terial which generates steady and uniform heat at rate of è [W/m³]. The tube has an inner radius r₁ and outer radius r₂. The temperature of the outer insulated sur- face is T₂. This tube is used to heat a liquid flowing through it. (a) Write the governing differential equation and boundary conditions to determine the tempera- ture distribution inside the tube. (b) What is the heat flux supplied to the liquid by the tube? e (√₂²-1₁²) / 21₁ 1 Fluid Figure 2: Schematic Insulation T₂ N
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