MeltPoolDG::Flow::CharacteristicNumbers< number > Class Template Reference

Computes dimensionless characteristic numbers for fluid flow. More...

#include <characteristic_numbers.hpp>

Collaboration diagram for MeltPoolDG::Flow::CharacteristicNumbers< number >:

Public Member Functions
	CharacteristicNumbers (const MaterialParameterValues< number, number > &material_phase)
	Constructor.
number	Mach (const number &characteristic_velocity, const number &characteristic_length) const
	Compute the Mach number Ma.
number	Reynolds (const number &characteristic_velocity, const number &characteristic_length) const
	Compute the Reynolds number Re.
number	capillary (const number &characteristic_velocity, const number &surface_tension_coefficient) const
	Compute the capillary number Ca.

Private Attributes
const MaterialParameterValues< number, number >	material
	Material parameter struct which provides all relevant physical properties.

Detailed Description

template<typename number>
class MeltPoolDG::Flow::CharacteristicNumbers< number >

Computes dimensionless characteristic numbers for fluid flow.

This class provides methods to compute key dimensionless numbers used in fluid dynamics and heat transfer, including the Mach number (Ma), Reynolds number (Re), and Capillary number (Ca).

Constructor & Destructor Documentation

CharacteristicNumbers()

template<typename number >

MeltPoolDG::Flow::CharacteristicNumbers< number >::CharacteristicNumbers

(

const MaterialParameterValues< number, number > &

material_phase

)

Constructor.

Initializes the characteristic number calculator class with the relevant material parameters.

Parameters

material_phase

Reference to a MaterialParameterValues object containing the relevant physical properties.

Member Function Documentation

capillary()

template<typename number >

number MeltPoolDG::Flow::CharacteristicNumbers< number >::capillary	(	const number &	characteristic_velocity,
		const number &	surface_tension_coefficient
	)		const

Compute the capillary number Ca.

    µ · v

Ca = --— σ

with: µ ... dynamic viscosity (Ns/m²) v ... characteristic velocity (m/s) σ ... surface tension coefficient (N/m)

Parameters

characteristic_velocity	Characteristic velocity of the considered simulation setup.
surface_tension_coefficient	Provided surface tension coefficient.

Returns

The computed capillary number.

Mach()

template<typename number >

number MeltPoolDG::Flow::CharacteristicNumbers< number >::Mach	(	const number &	characteristic_velocity,
		const number &	characteristic_length
	)		const

Compute the Mach number Ma.

    ρ · c_p  · v · d

Ma = --------------— λ

with: ρ ... density (kg/m³) c_p ... heat capacity (J/(kgK)) v ... characteristic velocity (m/s) d ... characteristic length (m) λ ... heat conductivity (W/(mK))

Parameters

characteristic_velocity	Characteristic velocity of the considered simulation setup.
characteristic_length	Characteristic length of the considered simulation setup.

Returns

The computed Mach number.

Reynolds()

template<typename number >

number MeltPoolDG::Flow::CharacteristicNumbers< number >::Reynolds	(	const number &	characteristic_velocity,
		const number &	characteristic_length
	)		const

Compute the Reynolds number Re.

    ρ · v · d

Re = ------— µ

with: ρ ... density (kg/m³) v ... characteristic velocity (m/s) d ... characteristic length (m) µ ... dynamic viscosity (Ns/m²)

Parameters

characteristic_velocity	Characteristic velocity of the considered simulation setup.
characteristic_length	Characteristic length of the considered simulation setup.

Returns

The computed Reynolds number.

Member Data Documentation

material

template<typename number >

const MaterialParameterValues<number, number> MeltPoolDG::Flow::CharacteristicNumbers< number >::material

private

Material parameter struct which provides all relevant physical properties.

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The documentation for this class was generated from the following files:

• include/meltpooldg/flow/characteristic_numbers.hpp
• source/flow/characteristic_numbers.cpp