ARF#

Examples using this class are:

Frontiers: Copper Particle in Viscous Oil

class osaft.solutions.settnes2012.arf.ARF(f, R_0, rho_s, c_s, rho_f, c_f, eta_f, p_0, wave_type, position=None)[source]#

Bases: BaseARF, BaseSphereFrequencyComposite, BaseSolution

ARF class for Settnes and Bruus (2012)

The standing wave solution is based on Eqs. (50a) - (50b) of the paper and the traveling wave solution on Eq (48).

Note

This model is based on the following assumptions: - \(\lambda \gg R_0, \, \delta\)

Note

The expression for the travelling wave has been corrected. The expression in the article by Settnes & Bruus was off by a factor of 2. The error was reported in an article Marston (2013)

Parameters:

f (Frequency | float | int) – Frequency [Hz]
R_0 (Sphere | float | int) – Radius of the sphere [m]
rho_s (float) – Density of the sphere [kg/m^3]
c_s (float) – Speed of sound of the fluid-like sphere [m/s]
rho_f (float) – Density of the fluid [kg/m^3]
c_f (float) – Speed of sound of the fluid [m/s]
eta_f (float) – Dynamic viscosity of the fluid [Pa s]
p_0 (float) – Pressure amplitude of the field [Pa]
wave_type (WaveType) – Type of incident wave (traveling/standing)
position (None | float, optional) – Position in the standing wave field [rad]
Default: None

Public Data Attributes:

`supported_wavetypes`
`f_1`	Monopole scattering coefficient \(f_1\) [-]
`f_2`	Dipole scattering coefficient \(f_2\) [-]
`delta_t`	Normalized boundary layer thickness \(\tilde{\delta}\) [-]
`gamma`	Dimensionless variable \(\gamma\) [-]
`kappa_t`	Compressibility ratio \(\tilde{\kappa}\) [-]
`rho_t`	Density ratio \(\tilde{\rho}\) [-]
`Phi`	Acoustic contrast factor \(\Phi\) [-]
`position`	Wraps to `osaft.core.backgroundfields.BackgroundField.position`
`p_0`	Wraps to `osaft.core.backgroundfields.BackgroundField.p_0`
`wave_type`	Wraps to `osaft.core.backgroundfields.BackgroundField.wave_type`
`E_ac`	Wraps to `osaft.core.backgroundfields.BackgroundField.E_ac`
`rho_s`	Wraps to `osaft.core.fluids.InviscidFluid.rho_s`
`c_s`	Wraps to `osaft.core.fluids.InviscidFluid.c_s`
`kappa_s`	Wraps to `osaft.core.fluids.InviscidFluid.kappa_f`
`rho_f`	Wraps to `osaft.core.fluids.ViscousFluid.rho_f`
`c_f`	Wraps to `osaft.core.fluids.ViscousFluid.c_f`
`eta_f`	Wraps to `osaft.core.fluids.ViscousFluid.eta_f`
`kappa_f`	Wraps to `osaft.core.fluids.ViscousFluid.kappa_f`
`k_f`	Wraps to `osaft.core.fluids.ViscousFluid.k_f`
`delta`	Wraps to `osaft.core.fluids.ViscousFluid.k_f`

Inherited from BaseSphereFrequencyComposite

`R_0`	Wrapper for `osaft.core.geometries.Sphere.R_0`
`area`	Wrapper for `osaft.core.geometries.Sphere.area`
`volume`	Wrapper for `osaft.core.geometries.Sphere.volume`

Inherited from BaseFrequencyComposite

`f`	wrapper for `osaft.core.frequency.Frequency.f`
`omega`	wrapper for `osaft.core.frequency.Frequency.omega`

Inherited from BaseSolution

`supported_wavetypes`
`wave_type`	returns the wave type of the solution

Public Methods:

compute_arf()

Computes the ARF and returns the force in Newton [N].

Inherited from BaseARF

compute_arf()

Returns the value for the ARF in Newton [N].

Inherited from BaseFrequencyComposite

input_variables()

Returns all properties that are settable.

Inherited from BaseSolution

`copy`()	Returns a copy of the object
`check_wave_type`()	Checks if `wave_type` is in `supported_wavetypes`

check_wave_type()#

Checks if wave_type is in supported_wavetypes

Raises:: WrongWaveTypeError – If wave_type is not supported
Return type:: None

compute_arf()[source]#

Computes the ARF and returns the force in Newton [N].

Computes ARF according to Eq. (47a) - (47e) for standing wave case or according to Eq. (48) for the travelling wave case. Checks before computation of assumption of theory small particle radius to pressure field wavelength is valid.

Raises:

WrongWaveTypeError – if wrong wave_type
AssumptionWarning – if the used parameters might not be valid for the chosen limiting case

Return type:

float

copy()#

Returns a copy of the object

Return type:: BaseSolution

classmethod input_variables()#

Returns all properties that are settable.

Returns a list of the names of all properties that are settable, i.e. all properties that wrap a PassiveVariable.

Return type:: list[str]

property E_ac: float#: Wraps to osaft.core.backgroundfields.BackgroundField.E_ac

property Phi: float#: Acoustic contrast factor \(\Phi\) [-]

property R_0: float#: Wrapper for osaft.core.geometries.Sphere.R_0

property area: float#: Wrapper for osaft.core.geometries.Sphere.area

property c_f: float#: Wraps to osaft.core.fluids.ViscousFluid.c_f

property c_s: float#: Wraps to osaft.core.fluids.InviscidFluid.c_s

property delta#: Wraps to osaft.core.fluids.ViscousFluid.k_f

property delta_t: float#

Normalized boundary layer thickness \(\tilde{\delta}\) [-]

(Eq. 34)

property eta_f: float#: Wraps to osaft.core.fluids.ViscousFluid.eta_f

property f: float#: wrapper for osaft.core.frequency.Frequency.f

property f_1: float#

Monopole scattering coefficient \(f_1\) [-]

(Eq. 26)

property f_2: complex#

Dipole scattering coefficient \(f_2\) [-]

(Eq. 39)

property gamma: complex#

Dimensionless variable \(\gamma\) [-]

(Eq. 38)

property k_f: complex#: Wraps to osaft.core.fluids.ViscousFluid.k_f

property kappa_f: float#: Wraps to osaft.core.fluids.ViscousFluid.kappa_f

property kappa_s: float#: Wraps to osaft.core.fluids.InviscidFluid.kappa_f

property kappa_t: float#

Compressibility ratio \(\tilde{\kappa}\) [-]

(Eq. 26)

property omega: float#: wrapper for osaft.core.frequency.Frequency.omega

property p_0: float#: Wraps to osaft.core.backgroundfields.BackgroundField.p_0

property position: float#: Wraps to osaft.core.backgroundfields.BackgroundField.position

property rho_f: float#: Wraps to osaft.core.fluids.ViscousFluid.rho_f

property rho_s: float#: Wraps to osaft.core.fluids.InviscidFluid.rho_s

property rho_t: float#

Density ratio \(\tilde{\rho}\) [-]

(Eq. 39)

property volume: float#: Wrapper for osaft.core.geometries.Sphere.volume

property wave_type: WaveType#: Wraps to osaft.core.backgroundfields.BackgroundField.wave_type