A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Tanner and Milthorpe's (1983) regularisation. More...

#include <generalised_newtonian_constitutive_models.h>

Inheritance diagram for oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >:

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

double	calculate_cut_off_viscosity ()
	Function that calculates the cut off viscosity.

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

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

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

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

virtual	~GeneralisedNewtonianConstitutiveEquation ()
	Empty virtual destructor.

Private Attributes
double *	Yield_stress_pt
	yield stress tau_y

double *	Flow_index_pt
	power law index n

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

Detailed Description

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

A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Tanner and Milthorpe's (1983) regularisation.

Definition at line 234 of file generalised_newtonian_constitutive_models.h.

Constructor & Destructor Documentation

◆ HerschelBulkleyTanMilRegConstitutiveEquation()

template<unsigned DIM>

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

inline

"Cutoff regularised" Herschel Bulkley constitutive equation

Definition at line 250 of file generalised_newtonian_constitutive_models.h.

References oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::calculate_cut_off_viscosity(), oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::Critical_second_invariant_pt, and oomph::oomph_info.

Member Function Documentation

◆ calculate_cut_off_viscosity()

template<unsigned DIM>

double oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::calculate_cut_off_viscosity ( )

inline

Function that calculates the cut off viscosity.

Definition at line 272 of file generalised_newtonian_constitutive_models.h.

References oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::Critical_second_invariant_pt, oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::Flow_index_pt, and oomph::HerschelBulkleyTanMilRegConstitutiveEquation< DIM >::Yield_stress_pt.

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

◆ dviscosity_dinvariant()

template<unsigned DIM>

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