Rotating Channel (IL)

A rotating tube with a liquid channel in an isothermal liquid network.

rotating channel il

Description

The Rotating Channel (IL) block simulates a rotating pipe with a channel for isothermal liquid. The angular velocity of the pipe is set by a physical signal at port W. Ports A and B are the inlet and outlet ports of the isothermal liquid.

The fluid passing through the rotating channel experiences a pressure change due to the resistance in passing through the housing port and due to the angular momentum of the fluid. The internal connection to the block Orifice (IL) accounts for local resistances. The pressure change in the block is modelled as:

where

- is the density of the liquid in the port A;
- angular velocity of the shaft, obtained as a scalar in the port W;
- radius of rotation in the port B.

The isothermal liquid output port can be connected to the Rotating Cylinder Force (IL) block to simulate a rotary drive.

Assumptions and limitations

The inertia of the fluid is not calculated.
It is assumed that the angular velocity of the pipe is constant or varies very slowly.

Ports

Conserving

# A — liquid port
isothermal liquid

Details

A fluid inlet or outlet port.

Program usage name

port_a

# B — liquid port
isothermal liquid

Details

A fluid inlet or outlet port.

Program usage name

port_b

Input

# W — angular velocity, rad/s
scalar

Details

The angular velocity of a rotating shaft in rad/s, given as a scalar.

Data types	`Float64`.
Complex numbers support	No

Parameters

# Orifice area — cross-sectional area of the shaft bore
m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | mm^2 | um^2 | yd^2

Details

The cross-sectional area of the shaft bore for fluid inlet or outlet.

Units	`m^2` \| `cm^2` \| `ft^2` \| `in^2` \| `km^2` \| `mi^2` \| `mm^2` \| `um^2` \| `yd^2`
Default value	`1e-3 m^2`
Program usage name	`shaft_channel_area`
Evaluatable	Yes

# Port B radius of rotation — radius of rotation
m | cm | ft | in | km | mi | mm | um | yd

Details

The radius of rotation of the pipe at port B.

Units	`m` \| `cm` \| `ft` \| `in` \| `km` \| `mi` \| `mm` \| `um` \| `yd`
Default value	`0.01 m`
Program usage name	`port_b_radius`
Evaluatable	Yes

# Discharge coefficient — flow coefficient

Details

The correction factor is the ratio of the actual mass flow rate to the theoretical mass flow rate through the orifice.

Default value	`0.64`
Program usage name	`C_d`
Evaluatable	Yes

# Critical Reynolds number — upper limit of Reynolds number for laminar flow

Details

The Reynolds number at which the laminar flow regime is maintained.

Default value	`150.0`
Program usage name	`Re_critical`
Evaluatable	Yes