A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Bercovier and Engelman's (1980) regularisation. More...

#include <generalised_newtonian_constitutive_models.h>

Inheritance diagram for oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >:

Public Member Functions
	HerschelBulkleyBerEngRegConstitutiveEquation (double yield_stress_pt, double flow_index_pt, double *regularisation_parameter_pt)

double	viscosity (const double &second_invariant_of_rate_of_strain_tensor)
	Function implementing the constitutive model Input: second invariant of the rate of strain Output: the viscosity For Newtonian behaviour this returns 1. More...

double	dviscosity_dinvariant (const double &second_invariant_of_rate_of_strain_tensor)
	Function returning the derivative of the viscosity w.r.t. the second invariant of the rate of strain tensor For Newtonian behaviour this returns 0.0. 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 *	Regularisation_parameter_pt
	regularisation parameter e << 1 More...

Detailed Description

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

A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Bercovier and Engelman's (1980) regularisation.

Definition at line 151 of file generalised_newtonian_constitutive_models.h.

Constructor & Destructor Documentation

◆ HerschelBulkleyBerEngRegConstitutiveEquation()

template<unsigned DIM>

oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::HerschelBulkleyBerEngRegConstitutiveEquation	(	double *	yield_stress_pt,
		double *	flow_index_pt,
		double *	regularisation_parameter_pt
	)

inline

Definition at line 166 of file generalised_newtonian_constitutive_models.h.

Member Function Documentation

◆ dviscosity_dinvariant()

template<unsigned DIM>

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

inlinevirtual

Function returning the derivative of the viscosity w.r.t. the second invariant of the rate of strain tensor For Newtonian behaviour this returns 0.0.

Implements oomph::GeneralisedNewtonianConstitutiveEquation< DIM >.

Definition at line 198 of file generalised_newtonian_constitutive_models.h.

References oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::Flow_index_pt, and oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::Regularisation_parameter_pt.

◆ viscosity()

template<unsigned DIM>

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

inlinevirtual

Function implementing the constitutive model Input: second invariant of the rate of strain Output: the viscosity For Newtonian behaviour this returns 1.

Implements oomph::GeneralisedNewtonianConstitutiveEquation< DIM >.

Definition at line 177 of file generalised_newtonian_constitutive_models.h.

References oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::Flow_index_pt, oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::Regularisation_parameter_pt, and oomph::HerschelBulkleyBerEngRegConstitutiveEquation< DIM >::Yield_stress_pt.