Pasteurised milk, which is being held in tank at a constant height of 3.5 m from the floor, is transported into a vat where it is dispensed into sterile cartons to be sent to supermarkets. The milk is pumped from the tank along 100 m total of straight smooth pipes of diameter 47.47 mm, which along the way, contains 2 90° elbow joints to navigate around other machinery in the factory, and 2 similar 90° elbow joints to raise the pipeline level to the top of the vat, which is 19 m above the floor. The pipeline system also contains an angle valve to control the flow between the tank and the vat. If the pasteurised milk, which has a viscosity of 0.001 Pa,s and density of 1000 kg/m³, is being pumped at an average velocity of 1.9 m/s through the pipelines, calculate the following:
Pasteurised milk, which is being held in tank at a constant height of 3.5 m from the floor, is transported into a vat where it is dispensed into sterile cartons to be sent to supermarkets. The milk is pumped from the tank along 100 m total of straight smooth pipes of diameter 47.47 mm, which along the way, contains 2 90° elbow joints to navigate around other machinery in the factory, and 2 similar 90° elbow joints to raise the pipeline level to the top of the vat, which is 19 m above the floor. The pipeline system also contains an angle valve to control the flow between the tank and the vat. If the pasteurised milk, which has a viscosity of 0.001 Pa,s and density of 1000 kg/m³, is being pumped at an average velocity of 1.9 m/s through the pipelines, calculate the following:
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
![Pasteurised milk, which is being held in tank at a constant height of 3.5 m from the floor, is
transported into a vat where it is dispensed into sterile cartons to be sent to supermarkets. The
milk is pumped from the tank along 100 m total of straight smooth pipes of diameter 47.47 mm,
which along the way, contains 2 90° elbow joints to navigate around other machinery in the factory,
and 2 similar 90° elbow joints to raise the pipeline level to the top of the vat, which is 19 m above
the floor. The pipeline system also contains an angle valve to control the flow between the tank and
the vat.
If the pasteurised milk, which has a viscosity of 0.001 Pa, s and density of 1000 kg/m³, is being
pumped at an average velocity of 1.9 m/s through the pipelines, calculate the following:
The Reynolds number of the flow:
The energy loss, in J/kg, of the 2 elbow joints if they each have a friction loss coefficient of 1.5:
J/kg
The energy loss, in J/kg, of the valve if it has a friction loss coefficient of 2
J/kg
The major friction losses, in J/kg, along the 100 m of pipe, given that the friction factor is
0.0046 (you can check this for yourself on the Moody chart - treat it as practice!):
J/kg
The energy loss, in J/kg due to sudden contraction from the tank to the pipeline (note: the height
of the tank is significantly larger than the diameter of the pipeline):
J/kg
Hence, the total energy loss due to friction:
J/kg
The total energy requirement of the pipe, in J/kg:
J/kg
Based on a velocity of 1.9 m/s and a diameter of 47.47 mm, the mass flowrate of the milk is
3.36 kg/s (you can check this calculation for yourself!). Calculate the total energy requirement of
the pump, assuming an efficiency of 100%:
W](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F858a5eb0-e2f7-4acc-8384-3fb439ed7bf9%2F39f317e9-3daf-4f50-b94a-b9c9b2f687b1%2Fcpnyeqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Pasteurised milk, which is being held in tank at a constant height of 3.5 m from the floor, is
transported into a vat where it is dispensed into sterile cartons to be sent to supermarkets. The
milk is pumped from the tank along 100 m total of straight smooth pipes of diameter 47.47 mm,
which along the way, contains 2 90° elbow joints to navigate around other machinery in the factory,
and 2 similar 90° elbow joints to raise the pipeline level to the top of the vat, which is 19 m above
the floor. The pipeline system also contains an angle valve to control the flow between the tank and
the vat.
If the pasteurised milk, which has a viscosity of 0.001 Pa, s and density of 1000 kg/m³, is being
pumped at an average velocity of 1.9 m/s through the pipelines, calculate the following:
The Reynolds number of the flow:
The energy loss, in J/kg, of the 2 elbow joints if they each have a friction loss coefficient of 1.5:
J/kg
The energy loss, in J/kg, of the valve if it has a friction loss coefficient of 2
J/kg
The major friction losses, in J/kg, along the 100 m of pipe, given that the friction factor is
0.0046 (you can check this for yourself on the Moody chart - treat it as practice!):
J/kg
The energy loss, in J/kg due to sudden contraction from the tank to the pipeline (note: the height
of the tank is significantly larger than the diameter of the pipeline):
J/kg
Hence, the total energy loss due to friction:
J/kg
The total energy requirement of the pipe, in J/kg:
J/kg
Based on a velocity of 1.9 m/s and a diameter of 47.47 mm, the mass flowrate of the milk is
3.36 kg/s (you can check this calculation for yourself!). Calculate the total energy requirement of
the pump, assuming an efficiency of 100%:
W
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VIEWStep 2: Calculate the Reynolds number and energy loss due to 2-elbow joints.
VIEWStep 3: Energy loss due to valve and pipeline.
VIEWStep 4: The energy loss due to sudden contraction and due to fiction.
VIEWStep 5: Calculate the total energy requirement of the pipe.
VIEWStep 6: Calculate the total energy requirement of the pump.
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