An isolated tank contains M amount of water. A pipe connected to the tank with a pump, delivering the water in a close circle back to the tank through the atmosphere. Assuming the water temperature. distribution is equal in the tank at the beginning, Create an equation of the temperature in the tank relative to the time, Given; water flow through the pipe 3M/h (three times the water tank per hour) Initial temperature at the tank T₁ Atmosphere temperature To Length of the pipe L ho-convective heat transfer coefficient of the air hw-convective heat transfer coefficient of the water k-pipe thermal conductivity (W/m.K) d-pipe diameter can use any other obvious data that is needed and can be reached easily online, Please explain every step, equation and assumption that is used.

An isolated tank contains M amount of water. A pipe connected to the tank with a pump, delivering the water in a close circle back to the tank through the atmosphere. Assuming the water temperature. distribution is equal in the tank at the beginning, Create an equation of the temperature in the tank relative to the time, Given; water flow through the pipe 3M/h (three times the water tank per hour) Initial temperature at the tank T₁ Atmosphere temperature To Length of the pipe L ho-convective heat transfer coefficient of the air hw-convective heat transfer coefficient of the water k-pipe thermal conductivity (W/m.K) d-pipe diameter can use any other obvious data that is needed and can be reached easily online, Please explain every step, equation and assumption that is used.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.21P

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i think the heat that is transfered into the water in the tank at the beggining is q= (1-η)×P is'nt? , should be the part of the power the is lost.

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