#include <generalised_newtonian_constitutive_models.h>

Inheritance diagram for oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< DIM >:

Public Member Functions
	HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation (double yield_stress_pt, double flow_index_pt, double *critical_second_invariant_pt)
	"Cutoff regularised" Herschel Bulkley constitutive equation More...

double	calculate_cutoff_viscosity ()

double	calculate_viscosity_offset_at_zero_shear (double &cut_off_viscosity)

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 *	Yield_stress_pt
	yield stress tau_y More...

double *	Flow_index_pt
	power law index n More...

double *	Critical_second_invariant_pt

Detailed Description

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

A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Tanner and Milthorpe's (1983) regularisation with a smooth transition using a cubic

Definition at line 371 of file generalised_newtonian_constitutive_models.h.

Constructor & Destructor Documentation

◆ HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation()

template<unsigned DIM>

oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< DIM >::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation	(	double *	yield_stress_pt,
		double *	flow_index_pt,
		double *	critical_second_invariant_pt
	)

inline

"Cutoff regularised" Herschel Bulkley constitutive equation

get the cutoff viscosity

get the zero shear viscosity

Definition at line 392 of file generalised_newtonian_constitutive_models.h.

References oomph::oomph_info.

Member Function Documentation

◆ calculate_cutoff_viscosity()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< 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 423 of file generalised_newtonian_constitutive_models.h.

◆ calculate_fitting_parameters_of_cubic()

template<unsigned DIM>

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

inline

Definition at line 465 of file generalised_newtonian_constitutive_models.h.

◆ calculate_viscosity_offset_at_zero_shear()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< 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 436 of file generalised_newtonian_constitutive_models.h.

◆ calculate_zero_shear_viscosity()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< 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 442 of file generalised_newtonian_constitutive_models.h.

◆ dviscosity_dinvariant()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< 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 549 of file generalised_newtonian_constitutive_models.h.

◆ report_cut_off_values()

template<unsigned DIM>

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

inline

Report cutoff values.

Definition at line 455 of file generalised_newtonian_constitutive_models.h.

◆ viscosity()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegWithBlendingConstitutiveEquation< DIM >::viscosity ( const double & second_invariant_of_rate_of_strain_tensor )

inlinevirtual

Viscosity ratio as a fct of strain rate invariant.

Implements oomph::GeneralisedNewtonianConstitutiveEquation< DIM >.

Definition at line 507 of file generalised_newtonian_constitutive_models.h.

References oomph::GeneralisedNewtonianConstitutiveEquation< DIM >::dviscosity_dinvariant().