Chapter 7-Piping Network: Example7 -...

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Chapter 7-Piping Network: Example7.1 Oil with dynamic viscosity of μ = 0.3Ns/m 2 flows through the piping network shown below. The inner diameter and the length of the pipes are shown in the figure. Determine the pressure distribution in the network and calculate the flow rate in every pipe element, if the network is divided into 6 elements. The node numbers are also shown in the figure. There is information that the pressure on node 1 is 40000 Pa and on node 6 is −4000 Pa. Finite Element Method Laboratory BDA4033 Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Transcript of Chapter 7-Piping Network: Example7 -...

Page 1: Chapter 7-Piping Network: Example7 - author.uthm.edu.myauthor.uthm.edu.my/uthm/www/content/lessons/101/Example7.1 Piping... · Chapter 7-Piping Network: ... if the network is divided

Chapter 7-Piping Network: Example7.1Oil with dynamic viscosity of μ = 0.3Ns/m2 flows through the piping network shown

below. The inner diameter and the length of the pipes are shown in the figure. Determine the pressure distribution in the network and calculate the flow rate in every

pipe element, if the network is divided into 6 elements. The node numbers are also shown in the figure. There is information that the pressure on node 1 is 40000 Pa and

on node 6 is −4000 Pa.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 2: Chapter 7-Piping Network: Example7 - author.uthm.edu.myauthor.uthm.edu.my/uthm/www/content/lessons/101/Example7.1 Piping... · Chapter 7-Piping Network: ... if the network is divided

Chapter 7-Piping Network: Example7.1To analyze the piping network, the nodes must be described in terms of coordinates to get the correct length of the element. Therefore it should be in three dimensional. Go

to Model .Type of Analysis, then select Fluid-Pipe Network.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Since flow rate is intended to be the output, therefore this elemental output mustbe

requested. From the menu Model . Global Properties, click Output Options and enable Element field values.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Three materials are considered. The first material has an inner diameter 0.1m and viscosity μ = 0.3Ns/m2. The second and the third material have 0.075m and 0.05m,

respectively. Model > Materials. Click Add, In Geometric tab, choose Circular tube and enter the ID, 0.1m for material 1.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1The fluid viscosity is defined under Fluid tab . Select Isotropic and enter viscosity μ = 0.3Ns/m2. Repeat for material 2 and material 3. The second and the third material

have 0.075m and 0.05m inner diameter and viscosity μ = 0.3Ns/m2

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1• Go to Nodes tab , Choose Add Single.

Enter and Add the coordinate of nodes as below

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Click Close button to exit the dialog. You have created 6 nodes.

Click Show Node Numbers On/Off symbol

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Go to menu Elements > Add Single, then select Line 2-pipe , choose material 1 and

click node 1 and 2 to define element 1. Then, continue the step for element 2 ~element 4. Click Show Element Numbers On/Off symbol.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Click node 1, go to menu Constraints . Add/Edit. In the dialog you have to define the

pressure 40000 Pa. Do the same procedure for node 6 (-4000 Pa)

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1The pressure constraint for node 1 and 6 can be seen in the following picture.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Run the solver. After the solver completing doing the analysis successfully, then click

the Post Processor button to open the viewing result environment

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1The pressure distribution can be seen in the following picture.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1The flowrate distribution can be seen in the following picture.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1The pressure distribution table for each node.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Chapter 7-Piping Network: Example7.1Flow rate for each element.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol