A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Papanastasiou's (1987) regularisation. More...

#include <generalised_newtonian_constitutive_models.h>

Inheritance diagram for oomph::HerschelBulkleyPapRegConstitutiveEquation< DIM >:

Public Member Functions
	HerschelBulkleyPapRegConstitutiveEquation (double yield_stress_pt, double flow_index_pt, double *exponential_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.

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

virtual	~GeneralisedNewtonianConstitutiveEquation ()
	Empty virtual destructor.

virtual double	dviscosity_dinvariant (const double &second_invariant_of_rate_of_strain_tensor)=0
	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.

Private Attributes
double *	Yield_stress_pt
	Yield stress tau_y.

double *	Flow_index_pt
	Power law index n.

double *	Exponential_parameter_pt
	Regularisation parameter m >> 1.

Detailed Description

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

A GeneralisedNewtonianConstitutiveEquation class defining a Herschel-Bulkley fluid using Papanastasiou's (1987) regularisation.

Definition at line 526 of file generalised_newtonian_constitutive_models.h.

Constructor & Destructor Documentation

◆ HerschelBulkleyPapRegConstitutiveEquation()

template<unsigned DIM>

oomph::HerschelBulkleyPapRegConstitutiveEquation< DIM >::HerschelBulkleyPapRegConstitutiveEquation	(	double *	yield_stress_pt,
		double *	flow_index_pt,
		double *	exponential_parameter_pt
	)

inline

Definition at line 541 of file generalised_newtonian_constitutive_models.h.

Member Function Documentation

◆ viscosity()

template<unsigned DIM>

double oomph::HerschelBulkleyPapRegConstitutiveEquation< 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 551 of file generalised_newtonian_constitutive_models.h.

References oomph::HerschelBulkleyPapRegConstitutiveEquation< DIM >::Exponential_parameter_pt, oomph::HerschelBulkleyPapRegConstitutiveEquation< DIM >::Flow_index_pt, and oomph::HerschelBulkleyPapRegConstitutiveEquation< DIM >::Yield_stress_pt.