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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Transcribed Image Text:Question
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.
Transcribed Image Text:pump
Expert Solution
Step 1
Given:
Volume of water = M
Water flow through pipe = 3M/h
Initial temperature of tank = T1
Atmospheric temperature = T0
Length of pipe = L
Pipe diameter = d
Convective heat transfer coefficient of air = h0
Convective heat transfer coefficient of water = hw
To find:
Equation of temperature relative to time t
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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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