A milk storage tank on a dairy farm is equipped with a refrigeration compressor which removes Q (Btu/min) of heat from warm milk. The insulated and perfectly mixed tank is initially filled with V. (ft) of warm milk at a temperature of T. (F). The compressor is then turned on and begins to chill down the milk at the same time that fresh warm milk at T, ("F) is added at a volumetric flow rate of q (ft/min) through a pipeline from the milking parlor. The total volume of milk in the tank increases to Vị after all of the cows have been milked.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter44: Geothermal Heat Pumps
Section: Chapter Questions
Problem 12RQ: The function of the pressure tank in an open-loop, geo-thermal heat pump well system is to prevent...
icon
Related questions
Question

i want help with all these questions asap 

2. A milk storage tank on a dairy farm is equipped with a refrigeration compressor which removes
Q (Btu/min) of heat from warm milk. The insulated and perfectly mixed tank is initially filled
with V. (ft') of warm milk at a temperature of T. ('F). The compressor is then turned on and
begins to chill down the milk at the same time that fresh warm milk at T, ('F) is added at a
volumetric flow rate of q (ft'/min) through a pipeline from the milking parlor. The total volume
of milk in the tank increases to Vr after all of the cows have been milked.
(a) Derive a dynamic model for the process so that the temperature of the milk can be
determined as a function of time.
(b) Perform a degrees of freedom analysis. Identify all of the model constants, input variables
and output variables.
Transcribed Image Text:2. A milk storage tank on a dairy farm is equipped with a refrigeration compressor which removes Q (Btu/min) of heat from warm milk. The insulated and perfectly mixed tank is initially filled with V. (ft') of warm milk at a temperature of T. ('F). The compressor is then turned on and begins to chill down the milk at the same time that fresh warm milk at T, ('F) is added at a volumetric flow rate of q (ft'/min) through a pipeline from the milking parlor. The total volume of milk in the tank increases to Vr after all of the cows have been milked. (a) Derive a dynamic model for the process so that the temperature of the milk can be determined as a function of time. (b) Perform a degrees of freedom analysis. Identify all of the model constants, input variables and output variables.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Refrigeration and Air Conditioning Technology (Mi…
Refrigeration and Air Conditioning Technology (Mi…
Mechanical Engineering
ISBN:
9781305578296
Author:
John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:
Cengage Learning