The temperature distribution across a wall that is I m thick at a certain instant of time is given as: T(x) = ax ebx here T is in degrees Celsius and x is in meters, while a = 950°C and b = -0.487. A uniform at generation of q = 2000 W/m³, is present in the wall of area 20 m² having the properties =2000 kg/m³, k = 60 W/m. K, and Cp = 8 kJ/kg. 1. Determine the rate of heat transfer entering the wall (x = 0) and leaving the wall (x = L) in kW. 2. Determine the rate of change of energy storage in the wall. 3. Determine the time rate of temperature change ST St at x = 0. A = 20 m² T(x) = aebx q=2000 W/m³ k=60 W/mK p=2000 kg/m³ C₁ = 8 KJ/kg 9in L=1m qout

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.25P: Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner...
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The temperature distribution across a wall that is I m thick at a certain instant of time is given as:
T(x) = ax ebx
here T is in degrees Celsius and x is in meters, while a = 950°C and b = -0.487. A uniform
at generation of q = 2000 W/m³, is present in the wall of area 20 m² having the properties
=2000 kg/m³, k = 60 W/m. K, and Cp = 8 kJ/kg.
1. Determine the rate of heat transfer entering the wall (x = 0) and leaving the wall (x = L)
in kW.
2. Determine the rate of change of energy storage in the wall.
3. Determine the time rate of temperature change
ST
St
at x = 0.
A = 20 m²
T(x) = aebx
q=2000 W/m³
k=60 W/mK
p=2000 kg/m³
C₁ = 8 KJ/kg
9in
L=1m
qout
Transcribed Image Text:The temperature distribution across a wall that is I m thick at a certain instant of time is given as: T(x) = ax ebx here T is in degrees Celsius and x is in meters, while a = 950°C and b = -0.487. A uniform at generation of q = 2000 W/m³, is present in the wall of area 20 m² having the properties =2000 kg/m³, k = 60 W/m. K, and Cp = 8 kJ/kg. 1. Determine the rate of heat transfer entering the wall (x = 0) and leaving the wall (x = L) in kW. 2. Determine the rate of change of energy storage in the wall. 3. Determine the time rate of temperature change ST St at x = 0. A = 20 m² T(x) = aebx q=2000 W/m³ k=60 W/mK p=2000 kg/m³ C₁ = 8 KJ/kg 9in L=1m qout
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