5.4. Viscous-Thermal Materials

5.4.1. Acoustic Propagation in the Viscous Fluid

An acoustic propagating wave in a viscous media is dampened due to the viscosity of the fluid. The interaction between the acoustic pressure wave in a viscous fluid and a rigid wall is not taken into account.

Define the viscosity of a fluid via the MP,VISC command.

Example 5.7: Defining a Viscous Material

mp,dens,1,1.21     ! mass density
mp,sonc,1,343      ! sound speed
mp,visc,1,1.827e-5 ! dynamic viscosity

For more information, see Acoustic Fundamentals in the Mechanical APDL Theory Reference.

5.4.2. Boundary Layer Impedance (BLI) Model

The interaction between an acoustic pressure wave in a viscous fluid and a rigid wall is taken into account.

Specify a rigid wall as a boundary layer via the SF,Nlist,BLI command.

BLI models are supported in full harmonic acoustic analyses only.

Example 5.8: Defining a BLI Model

mp,dens,1,1.21        ! mass density
mp,sonc,1,343         ! sound speed
mp,visc,1,1.827e-5    ! dynamic viscosity
mp,bvis,1,1.096e-5    ! bulk viscosity
mp,kxx,1,0.0257       ! thermal conductivity
mp,cvh,1,718          ! heat coefficient at a constant volume per mass
mp,c,1,1005           ! heat coefficient at a constant pressure per mass

nsel,s,ext            ! select exterior nodes
sf,all,bli            ! flag boundary layer

For more information, see Boundary Layer Impedance (BLI) Model in the Mechanical APDL Theory Reference.

5.4.3. Low Reduced Frequency (LRF) Model

The interaction between an acoustic pressure wave in a viscous fluid and a rigid wall is taken into account for specific structures according to low reduced frequency (LRF) approximation.

Define the LRF model via the TB,AFDM,,,,TBOPT command.

The following table shows the valid TBOPT values and input parameters for the LRF model in a viscous-thermal fluid:

Table 5.2: Low Reduced Frequency Models

TBOPT CommentsInput Parameters
THINThin layer between two rigid platesThickness of the layer
RECTA tube with a rectangular cross sectionWidth and height of the rectangle
CIRCA tube with a circular cross sectionRadius of the circle

LRF models are supported in full harmonic acoustic analyses only.

Example 5.9: Defining an LRF Model

The following example input defines a low reduced frequency model with a thin layer:

mp,dens,1,1.21      ! mass density
mp,sonc,1,343       ! sound speed
mp,visc,1,1.827e-5  ! dynamic viscosity
mp,kxx,1,0.0257     ! thermal conductivity
mp,cvh,1,718        ! heat coefficient at a constant volume per mass
mp,c,1,1005         ! heat coefficient at a constant pressure per mass

tb,afdm,1,,,thin    ! basic acoustic materials
tbfield,freq,f1     ! table at frequency f1
tbdata,1,thick1     ! material parameters table
tbfield,freq,f2     ! table frequency f2 
tbdata,1, thick2    ! material parameters table

For more information, see Low Reduced Frequency (LRF) Model in the Mechanical APDL Theory Reference.

5.4.4. Full Linear Navier-Stokes Equations (FLNS) Model

The FLNS model solves the full linear Navier-Stokes equations with velocity, temperature and pressure variables. The FLNS model has more accurate numerical results than either the BLI or LRF model, especially at higher frequencies, while the viscous-thermal effects play a significant role on the acoustic phenomena in devices with narrow or thin acoustic paths.

The viscous-thermal material properties are defined in Basic Material Parameters of Acoustic Media.