Question

Heat transfer

A 10 m long and 10 mm inner diameter pipe made of commercial steel 

(roughness height = 0.046 mm) is used to heat a liquid in an industrial process. 

The liquid enters the pipe with Tin = 25oC and V = 0.8 m/s. A uniform heat flux 

is maintained by an electric resistance heater wrapped around the outer surface 

of the pipe so that the fluid exits at Texit = 75oC. Taking the average fluid 

properties to be: ρ = 1000 kg/m3

, C = 4000 J/kgK, μ = 2×10-3 kg/m.s, k = 0.48 

W/mK, and Pr = 10, determine: 

(i) the required surface heat flux produced by the heater, 

[4 Marks] 

(ii) the surface temperature of the pipe at the exit, 

[11 Marks] 

(iii) the pressure loss through the pipe and the minimum power required to 

overcome the resistance to flow. 

[4 Marks]


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