This is an old revision of the document!
−Table of Contents
Heat Source/Flux
Materials
Since flux interactions are boundary conditions interactions (LoadingInteraction
), no materials must be associated to the element.
Element
Therefore, the first step consist in defining an ElementProperties
, as
prp = ElementProperties(typeEl) prp.put(param1, value1) prp.depend(param1, fct1, Lock1)) #optional ...
where
typeEl | desired element (for example Tm[2]HeatFlux[2|3]DElement ) |
param1 | name of the property associated to the element (for example HEATEL_VALUE ) |
value1 | value of the corresponding property |
fct1 | function which characterizes the dependency of the property (optional: no fct if no dependency) |
Lock1 | Lock which defines the dependency variable of the property (compulsory if there is a dependency) |
Tm[2]HeatFlux[2|3]DElement
Description
Thermal heat flux element in 2/3D, first or second order (thermal field of second order), that can be created on “boundary” geometries (i.e. curves in 2D and sides in 3D).
There are currently 4 different heat flux distributions types that are implemented for this element. These can be selected by using the HEATEL_TYPE
parameter when defining the element properties.
Constant Heat Flux Distribution (=default)
Heat flux at each Gauss point is equal to HEATEL_VALUE
[W/m2].
prp.put(HEATEL_TYPE, HEATEL_CONSTANT)
Rectangular Heat Flux Distribution
Heat flux at each Gauss point is equal to a uniform distribution of the total heat Qsrc within a rectangular surface centered on the local heat flux coordinates q=Qsrc4ab if x′∈[−a, a], y′∈[−b, b], where a and b are the half lengths of the rectangle in the x′ and y′ local coordinate directions respectively.
prp.put(HEATEL_TYPE, HEATEL_RECTANGULAR)
Ellipsoid Heat Flux Distribution
Heat flux at each Gauss point is equal to an ellipsoid Gaussian distribution function of the total heat Qsrc centered on the local heat flux coordinates [Goldak et. al. 1986] q=Qsrc6√3abπ32 e−3(x′a)2 e−3(y′b)2 where a and b are the semi-axes lengths of the ellipsoid in the x′ and y′ directions respectively.
prp.put(HEATEL_TYPE, HEATEL_ELLIPSOID)
Double Ellipsoid Heat Flux Distribution
Modification of the ellipsoid Gaussian distribution function to account for a different distribution at the front (x′>=0) and at the rear (x′<0) of the heat flux [Goldak et. al. 1986] qf=fQsrc6√3abπ32 e−3(x′a)2 e−3(y′b)2, x′>=0 qr=(1−f)Qsrc6√3arbπ32 e−3(x′ar)2 e−3(y′b)2,x′<0 where a and ar are the front and rear semi-axes lengths in the x′ directions, b is the semi-axis length in the y′ direction, and f=baa+ar is the balancing factor.
prp.put(HEATEL_TYPE, HEATEL_DOUBLE_ELLIPSOID)
Parameters
Name | Metafor Code | Dependency |
---|---|---|
Type of surface distribution | HEATEL_TYPE | - |
Total applied heat Qsrc[W] (heat per area for HEATEL_CONSTANT ) | HEATEL_VALUE | TO/TM |
Semi-axis Length (a) | HEATEL_A | - |
Semi-axis Length (b) | HEATEL_B | - |
Semi-axis Length (ar) | HEATEL_AR | - |
Number of integration points | NIP | - |
Material Stiffness (STIFF_ANALYTIC - STIFF_NUMERIC) only if element Stiffness == STIFF_ANALYTIC | MATERIALSTIFFMETHOD | - |
Tm[2]HeatSource[2|3]DElement
Description
Thermal heat source element in 2/3D, first or second order (thermal field of second order), that can be created on “volume” geometries (i.e. sides in 2D and volumes in 3D).
There are currently 4 different types of heat source distributions that are implemented for this element. These can be selected by using the HEATEL_TYPE
parameter when defining the element properties.
Constant Heat Source Distribution (=default)
Heat source at each Gauss point is equal to HEATEL_VALUE
[W/m3].
prp.put(HEATEL_TYPE, HEATEL_CONSTANT)
Rectangular Heat Flux Distribution
Heat source at each Gauss point is equal to a uniform distribution of the total heat Qsrc within a box volume centered on the local heat flux coordinates q=Qsrc8abc if x′∈[−a, a], y′∈[−b, b], z′∈[−c, c], where a, b and c are the half lengths of the rectangle in the x′, y′ and z′ local coordinate directions respectively.
prp.put(HEATEL_TYPE, HEATEL_RECTANGULAR)
Ellipsoid Heat Flux Distribution
Heat source at each Gauss point is equal to an ellipsoid Gaussian distribution function of the total heat Qsrc centered on the local heat flux coordinates [Goldak et. al. 1986] q=Qsrc12√3abcπ32 e−3(x′a)2 e−3(y′b)2 e−3(z′c)2 where a, b and c are the semi-axes lengths of the ellipsoid in the x′, y′ and z′ directions respectively.
prp.put(HEATEL_TYPE, HEATEL_ELLIPSOID)
Double Ellipsoid Heat Flux Distribution
Modification of the ellipsoid Gaussian distribution function to account for a different distribution at the front (x′>=0) and at the rear (x′<0) of the heat flux [Goldak et. al. 1986] qf=fQsrc12√3abπ32 e−3(x′a)2 e−3(y′b)2 e−3(z′c)2, x′>=0 qr=(1−f)Qsrc12√3arbπ32 e−3(x′ar)2 e−3(y′b)2 e−3(z′c)2,x′<0 where a and ar are the front and rear semi-axes lengths in the x′ directions, b and c are the semi-axes lengths in the y′ and z′ direction, and f=baa+ar is the balancing factor.
prp.put(HEATEL_TYPE, HEATEL_DOUBLE_ELLIPSOID)
Parameters
Name | Metafor Code | Dependency |
---|---|---|
Type of volume distribution | HEATEL_TYPE | - |
Total applied heat Qsrc[W] (heat per volume q[W/m3] for HEATEL_CONSTANT ) | HEATEL_VALUE | TO/TM |
Semi-axis Length (a) | HEATEL_A | - |
Semi-axis Length (b) | HEATEL_B | - |
Semi-axis Length (c) | HEATEL_C | - |
Semi-axis Length (ar) | HEATEL_AR | - |
Number of integration points | NIP | - |
Material Stiffness (STIFF_ANALYTIC - STIFF_NUMERIC) only if element Stiffness == STIFF_ANALYTIC | MATERIALSTIFFMETHOD | - |
Tm[2]ConvectionHeatFlux[2|3]DElement
Description
Thermal convection heat flux element in 2/3D, first or second order (thermal field of second order), that can be created on “boundary” geometries (i.e. curves in 2D and sides in 3D).
Parameters
Name | Metafor Code | Dependency |
---|---|---|
Type of surface distribution | HEATEL_TYPE | - |
Distribution along x′>=0 (only for HEATEL_TYPE = CONVHEATEL_COMBINE ) | CONVHEATEL_TYPE_XF | - |
Distribution along x′<0 (only for HEATEL_TYPE = CONVHEATEL_COMBINE ) | CONVHEATEL_TYPE_XR | - |
Distribution along y′ (only for HEATEL_TYPE = CONVHEATEL_COMBINE ) | CONVHEATEL_TYPE_Y | - |
Fluid temperature Tf | TEMP_FLUIDE | TO/TM |
Amplitude of the convection coefficient A | CONV_COEF | TO/TM |
Concentration factor (kx) | CONVHEATEL_KX | - |
Semi-axis Length (ky) | CONVHEATEL_KY | - |
Semi-axis Length (kxr) | CONVHEATEL_KXR | - |
Number of integration points | NIP | - |
Material Stiffness (STIFF_ANALYTIC - STIFF_NUMERIC) only if element Stiffness == STIFF_ANALYTIC | MATERIALSTIFFMETHOD | - |
Interaction
The interaction is defined as:
load = HeatInteraction(no) load.push(gObject1) load.push(gObject2) ... load.setAxes(Ox, Oz) load.useRescale(bool) load.addProperty(prp) interactionset.add(load)
where
no | number of the Interaction |
gObject1 , gObject2 | mesh geometric entity where the boundary conditions are applied |
prp | Properties of boundary condition elements to generate |
Ox , Oz | Curve entities that define the local coordinates x′ and z′ for the heat distribution function (not necessary for HEATEL_CONSTANT ) |
useRescale(bool) | Rescaling of the heat flux = False (default): do nothing = True: allows the rescaling of all heat source at each beginning of time-step to obtain the exact value of total applied HEATEL_VALUE HEATEL_CONSTANT and Tm[2]ConvectionHeatFlux[2|3]DElement |