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Copper Pipe Wrapped in Heated T ape. By Jayde Kowallis and Jordan Rhoads. Introduction. A copper pipe wrapped with heated tape is needed to direct blow-by gasses from the engine crank case to a centrifuge pump. Our Tube.
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Copper Pipe Wrapped in Heated Tape By JaydeKowallis and Jordan Rhoads
Introduction • A copper pipe wrapped with heated tape is needed to direct blow-by gasses from the engine crank case to a centrifuge pump. Our Tube Objective: To find the length needed (L) to heat gas from 25°C to 130°C and from 190°F to 230°F.
Problem Setup: assumptions Assumptions: • Heat tape creates a constant heat flux (qs”) • Tube is perfectly insulated with a fiberglass coating. (no heat is lost)
Problem Setup Conservation of energy (with perfect insulation) Using and you get Solving for L:
Solution and Procedure Known Values Properties of Air at 372.03 K ρ= 0.94827 kg/m3 cp= 1.0112 x 103 J/kg*K Other known values qs” = 2055 W/m2 mdotvaries from 0.0009 to 0.005 kg/s Inside Diameter = 1 in Case 1: To,air= 25°C, Tf,air=130°C Case 2: To,air= 190°F, Tf,air= 230°F Use the following equation to find the length of pipe for each mass flow rate using the temperatures in Case 1 and in Case 2.
Results Case 1: (To,air= 25°C, Tf,air= 130°C) For mdot = 0.0009 kg/s: L = 0.545m For mdot = 0.005 kg/s: L = 3.079m Case 2: (To,air= 190°F, Tf,air= 230°F) For mdot = 0.0009 kg/s: L = 0.115m For mdot = 0.005 kg/s: L = 0.545m
Conclusion and Recommendations Using this analysis and given assumptions, heating a fluid, flowing at these velocities, using a typical heat tape is a plausible solution for this application. For the majority of constant flow conditions, a recommended length of minimum 0.545 m is needed to eliminate condensation.
Appendix Sources: • Dr. Soloviev’s assistance in setting up the problem • Fundamentals of Heat and Mass Transfer (7th edition)