Small Rectangular Slot

R2026b

Acoustic propagation in a small, rectangular slot

Since R2026b

• 

Small Rectangular Slot block

To add a block to a model, double-click the canvas and start typing the block name. Then, select the block from the list.

Libraries:
Simscape Acoustics / Applications / Tubes and Horns

Description

Add-On Required: This feature requires the Simscape Acoustics add-on.

This block models a small rectangular slot. The slot is modeled as a mass, represented by an acoustic inertance, and a viscous loss, represented by an acoustic resistance. The inertance and resistance are connected in series.

The inertance value is modeled as

$$M_a=\frac{1.2\rho L}{WH},$$

where:

• ρ is the density of the fluid.

• L is the length of the slot.

• W is the width of the slot.

• H is the height of the slot [1].

The resistance value is modeled as

$$R_a=\frac{12\rho \mu L}{W{H}^3},$$

where μ is the kinematic viscosity of the fluid [1].

If multiple slots with the identical dimension are present, M_a and R_a are divided by N, the number of slots.

Examples

New

Condenser Microphone Modeling with Simscape Acoustics

Model a conventional condenser microphone using Simscape™ Acoustics.

• Since R2026b
• Open Script

Ports

Conserving

+ — Positive terminal

acoustic

Acoustic conserving port associated with the positive terminal.

- — Negative terminal

acoustic

Acoustic conserving port associated with the negative terminal.

Parameters

Length/thickness — Length or thickness of the slot

1 m (default) | positive scalar

Length or thickness of the slot in meters.

Width — Width of the slot

1 m (default) | positive scalar

Width of the slot in meters.

Height — Height of the slot

1 m (default) | positive scalar

Height of the slot in meters.

Number of slots — Number of slots

1 (default) | positive integer

Number of slots, specified as a positive integer.

References

[1] Esteves, Josué, Libor Rufer, Didace Ekeom, and Skandar Basrour. “Lumped-Parameters Equivalent Circuit for Condenser Microphones Modeling.” The Journal of the Acoustical Society of America 142, no. 4 (2017): 2121–32. https://doi.org/10.1121/1.5006905.

Version History

Introduced in R2026b