A GeneralisedNewtonianConstitutiveEquation class defining a Sisko fluid using Tanner and Milthorpe's (1983) regularisation with a smooth transition using a cubic (for n < 1) More...

#include <generalised_newtonian_constitutive_models.h>

Inheritance diagram for oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >:

Public Member Functions
	SiskoTanMilRegWithBlendingConstitutiveEquation (double alpha_pt, double flow_index_pt, double *critical_second_invariant_pt)
	"Cutoff regularised" Sisko constitutive equation More...

double	calculate_cutoff_viscosity ()
	Function that calculates the viscosity at the cutoff invariant Note: this is NOT the viscosity at zero I2. More...

double	calculate_viscosity_offset_at_zero_shear (double &cut_off_viscosity)
	Offset by how much the zero shear rate viscosity lies above the viscosity at I2_cutoff Hard-coded to a value that ensures a smooth transition. More...

double	calculate_zero_shear_viscosity ()
	Function that calculates the viscosity at zero I2. More...

void	report_cut_off_values (double &cut_off_invariant, double &cut_off_viscosity, double &zero_shear_viscosity)
	Report cutoff values. More...

void	calculate_fitting_parameters_of_cubic (double &a, double &b)

double	viscosity (const double &second_invariant_of_rate_of_strain_tensor)
	Viscosity ratio as a fct of strain rate invariant. More...

double	dviscosity_dinvariant (const double &second_invariant_of_rate_of_strain_tensor)
	Deriv of viscosity w.r.t. strain rate invariant. More...

Public Member Functions inherited from oomph::GeneralisedNewtonianConstitutiveEquation< DIM >
	GeneralisedNewtonianConstitutiveEquation ()
	Empty constructor. More...

virtual	~GeneralisedNewtonianConstitutiveEquation ()
	Empty virtual destructor. More...

Private Attributes
double *	Alpha_pt
	pre-factor alpha More...

double *	Flow_index_pt
	power law index n More...

double *	Critical_second_invariant_pt
	value of the second invariant below which we have constant (Newtonian) viscosity – assumed to be always positive More...

Detailed Description

template<unsigned DIM>
class oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >

A GeneralisedNewtonianConstitutiveEquation class defining a Sisko fluid using Tanner and Milthorpe's (1983) regularisation with a smooth transition using a cubic (for n < 1)

Definition at line 683 of file generalised_newtonian_constitutive_models.h.

Constructor & Destructor Documentation

◆ SiskoTanMilRegWithBlendingConstitutiveEquation()

template<unsigned DIM>

oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::SiskoTanMilRegWithBlendingConstitutiveEquation	(	double *	alpha_pt,
		double *	flow_index_pt,
		double *	critical_second_invariant_pt
	)

inline

"Cutoff regularised" Sisko constitutive equation

get the cutoff viscosity

get the zero shear viscosity

Definition at line 700 of file generalised_newtonian_constitutive_models.h.

References oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_cutoff_viscosity(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_zero_shear_viscosity(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Critical_second_invariant_pt, and oomph::oomph_info.

Member Function Documentation

◆ calculate_cutoff_viscosity()

template<unsigned DIM>

double oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_cutoff_viscosity ( )

inline

Function that calculates the viscosity at the cutoff invariant Note: this is NOT the viscosity at zero I2.

Definition at line 729 of file generalised_newtonian_constitutive_models.h.

References oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Critical_second_invariant_pt, and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Flow_index_pt.

Referenced by oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_fitting_parameters_of_cubic(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_zero_shear_viscosity(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::report_cut_off_values(), and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::SiskoTanMilRegWithBlendingConstitutiveEquation().

◆ calculate_fitting_parameters_of_cubic()

template<unsigned DIM>

void oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_fitting_parameters_of_cubic	(	double &	a,
		double &	b
	)

inline

Definition at line 771 of file generalised_newtonian_constitutive_models.h.

References oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Alpha_pt, oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_cutoff_viscosity(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_viscosity_offset_at_zero_shear(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Critical_second_invariant_pt, and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Flow_index_pt.

Referenced by oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::dviscosity_dinvariant(), and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::viscosity().

◆ calculate_viscosity_offset_at_zero_shear()

template<unsigned DIM>

double oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_viscosity_offset_at_zero_shear ( double & cut_off_viscosity )

inline

Offset by how much the zero shear rate viscosity lies above the viscosity at I2_cutoff Hard-coded to a value that ensures a smooth transition.

Definition at line 741 of file generalised_newtonian_constitutive_models.h.

Referenced by oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_fitting_parameters_of_cubic(), and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_zero_shear_viscosity().

◆ calculate_zero_shear_viscosity()

template<unsigned DIM>

double oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_zero_shear_viscosity ( )

inline

Function that calculates the viscosity at zero I2.

Offset by how much the zero shear rate viscosity lies above the viscosity at I2_cutoff

Definition at line 747 of file generalised_newtonian_constitutive_models.h.

References oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_cutoff_viscosity(), and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_viscosity_offset_at_zero_shear().

Referenced by oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::report_cut_off_values(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::SiskoTanMilRegWithBlendingConstitutiveEquation(), and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::viscosity().

◆ dviscosity_dinvariant()

template<unsigned DIM>

double oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::dviscosity_dinvariant ( const double & second_invariant_of_rate_of_strain_tensor )

inlinevirtual

Deriv of viscosity w.r.t. strain rate invariant.

Implements oomph::GeneralisedNewtonianConstitutiveEquation< DIM >.

Definition at line 847 of file generalised_newtonian_constitutive_models.h.

References oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Alpha_pt, oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::calculate_fitting_parameters_of_cubic(), oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Critical_second_invariant_pt, and oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::Flow_index_pt.

◆ report_cut_off_values()

template<unsigned DIM>

void oomph::SiskoTanMilRegWithBlendingConstitutiveEquation< DIM >::report_cut_off_values	(	double &	cut_off_invariant,
		double &	cut_off_viscosity,
		double &	zero_shear_viscosity
	)