10-mm-inner-diameter pipe made of commercial steel is used to heat a liquid in an industrial process. The liquid enters the pipe with Ti=25°C, V=0.8 m/s. A uniform heat flux is maintained by an electric resistance heater wrapped arounf the outer surface of the pipe, so that the fluid exits at 75°C. Assuming fully developed flow and taking the average fluid properties to be ρ=1000 kg/m3, cp=4000 J/kg·K, µ=2x10-3 kg/m·s, k=0.48 W/m·K, and Pr=10, determine: The required surface heat flux , produced by the heater The surface temperature at the exit, Ts The pressure loss through the piper and the minimum power required to overcome the resistance to flow.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 10-mm-inner-diameter pipe made of commercial steel is used to heat a liquid in an industrial process. The liquid enters the pipe with Ti=25°C, V=0.8 m/s. A uniform heat flux is maintained by an electric resistance heater wrapped arounf the outer surface of the pipe, so that the fluid exits at 75°C. Assuming fully developed flow and taking the average fluid properties to be ρ=1000 kg/m3, cp=4000 J/kg·K, µ=2x10-3 kg/m·s, k=0.48 W/m·K, and Pr=10, determine:

  • The required surface heat flux , produced by the heater
  • The surface temperature at the exit, Ts
  • The pressure loss through the piper and the minimum power required to overcome the resistance to flow. 
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