WOLFRAM SYSTEM MODELER

LaminarPipeSegment

Model of steady, incompressible, laminar flow through a pipe

Wolfram Language

In[1]:=
SystemModel["Hydraulic.Restrictions.Pipes.Internal.LaminarPipeSegment"]
Out[1]:=

Information

This is a model of pressure loss in a pipe. For the pipe flow, we assume that the pipe diameter D stays constant and that the pipe is straight. The pressure drop relates to the flow according to the equation below:



where
:Mass flow rate
:Fluid density
D:Inner pipe diameter
:Pressure difference between ports a and b
g:Standard acceleration of gravity on Earth
H:Height difference between ports a and b
:Kinematic viscosity of the fluid
L:Pipe length

Limitations

This class models steady, incompressible, laminar flow through a pipe.

Reference

F. Young, R. Munson, H. Okiishi, and W. Huebsch, A Brief Introduction to Fluid Mechanics, 4th ed., Hoboken, NJ: Wiley, 2007 p. 284 and 291.

Parameters (4)

medium

Value: Oil()

Type: Medium

Description: Medium in the component

D

Value: 0.1

Type: Diameter (m)

Description: Inner pipe diameter

L

Value: 1

Type: Length (m)

Description: Pipe length

H

Value: 0

Type: Length (m)

Description: Height for point B minus height for point A

Connectors (2)

port_b

Type: Port_b

Description: Port for hydraulic fluid (unfilled icon)

port_a

Type: Port_a

Description: Port for hydraulic fluid (filled icon)

Components (1)

medium

Type: Medium

Description: Medium in the component

Used in Components (1)

Pipe

Hydraulic.Restrictions.Pipes

Model of steady, laminar flow through a pipe