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Problem Specification
This tutorial will shows you how to model a forced convection in a pipe. The diagram shows a pipe where in the middle of the pipe, there is a heated section. The ambient air is flowing into the pipe from the left with a uniform velocity. What will be the steady state temperature at the outlet of the pipe? How will the temperature change along the pipe?
Available Information
Pipe radius = 2.94e-2 m
Pipe length = 6.096 m
Ambient pressure = 98338.2 Pa (Use as reference pressure)
Coeff. of viscosity = 1.787e-5 kg/(m s)
Cp = 1005 J/(kg K)
Thermal conductivity = 0.0266 W/(m K)
Molecular weight = 28.97 g/mole
Inlet:
• u = 25.05 m/s
• v = 0 m/s
• T = 298.15 K
• k = 0.09 m2/s2; epsilon = 16 m2/s3 (These are not measured and are rough guess values)
Outlet: Pressure = 97225.9 Pa
Wall:
• Heating between x = 1.83 m and x = 4.27 m
• Wall heat flux = 3473.9 W/m2
• Wall roughness: 0 (assume smooth)
• Wall thickness: 0 (assume negligible)