Mesh-free distributed point source method for modeling viscous fluid motion between disks vibrating at ultrasonic...

Area of Science:

• Acoustics
• Fluid Dynamics
• Wave Propagation

Background:

• Accurate modeling of wave propagation in viscous fluids is essential for ultrasonic applications like acoustic streaming and levitation.
• Fluid viscosity introduces complexities such as attenuation and boundary layer formation that require specific modeling approaches.

Purpose of the Study:

• To extend the distributed point source method (DPSM) for modeling acoustic wave propagation in viscous fluids.
• To provide a computationally efficient and accurate method for analyzing ultrasonic fields in the presence of viscosity.

Main Methods:

• The linearized viscous fluid equations were decomposed into dilatational and rotational components.
• Complex P- and S-wave numbers were incorporated into the DPSM framework.
• The extended DPSM was applied to calculate particle velocity in a viscous fluid layer between rigid plates.

Main Results:

• The distributed point source method (DPSM) was successfully adapted to model wave propagation in viscous fluids.
• Calculations demonstrated that DPSM achieves precision comparable to the finite element method (FEM).
• DPSM generated results faster than transient FEM simulations for the studied ultrasonic field problem.

Conclusions:

• The extended DPSM provides a viable and efficient alternative for modeling ultrasonic fields in viscous fluids.
• This method enhances the design and analysis of devices utilizing acoustic streaming and ultrasonic levitation.
• The findings validate DPSM's applicability and computational advantages in fluid acoustics.