1. A constant heat flux of 900 W/m2 is applied to the left surface of a large plane wall of thickness 15 cm, thermal conductivity 1.2 W/mK, and surface area 5 m2. The right surface loses heat to the air at 10 °C by convection (h=40 W/mK) only. Determine the following under steady-state conditions: a) Write down the conduction differential cquation within the wall b) Solve the differential equation c) Write the boundary conditions

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1. A constant heat flux of 900 W/m2 is applied to the left surface of a large plane wall of
thickness 15 cm, thermal conductivity 1.2 W/mK, and surface area 5 m2. The right surface
loses heat to the air at 10 °C by convection (h-40 W/mK) only. Determine the following
under steady-state conditions:
a) Write down the conduction differential cquation within the wall
b) Solve the differential equation
c) Write the boundary conditions
d) Determine the integral constants
e) Write the equation to calculate temperature distribution within the wall
f) Calculate the left surface temperature
g) Calculate the temperature at a distance 6 cm from the left surface
2. An 18-cm-long, 16-cm-wide, and 12-cm-high metal block (p= 8000 kg/m', c, = 400 J/kg°C,
20 °C is placed in an oven at 600 "C for heat treatment. The heat
C How long time is required for
Transcribed Image Text:1. A constant heat flux of 900 W/m2 is applied to the left surface of a large plane wall of thickness 15 cm, thermal conductivity 1.2 W/mK, and surface area 5 m2. The right surface loses heat to the air at 10 °C by convection (h-40 W/mK) only. Determine the following under steady-state conditions: a) Write down the conduction differential cquation within the wall b) Solve the differential equation c) Write the boundary conditions d) Determine the integral constants e) Write the equation to calculate temperature distribution within the wall f) Calculate the left surface temperature g) Calculate the temperature at a distance 6 cm from the left surface 2. An 18-cm-long, 16-cm-wide, and 12-cm-high metal block (p= 8000 kg/m', c, = 400 J/kg°C, 20 °C is placed in an oven at 600 "C for heat treatment. The heat C How long time is required for
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