4.71 MASS71 Thermal Mass

4.71 MASS71 Thermal Mass (UP19980821 ) MASS71 is a point element having one degree of freedom, temperature, at the node. The element may be used in a transient thermal analysis to represent a body having thermal capacitance capability but negligible internal thermal resistance, that is, no significant temperature gradients within the body. The element also has a temperature dependent heat generation rate capability. The lumped thermal mass element is applicable to a one, two, or three-dimensional steady-state or transient thermal analysis. See Section 14.71 of the ANSYS Theory Reference for more details about this element.

In a steady-state solution the element acts only as a temperature dependent heat source or sink. Other elements having special thermal applications are the COMBIN14 and COMBIN40 elements. These elements, which are normally used in structural models, may be used for thermally analogous situations.

If the model containing the thermal mass element is also to be analyzed structurally, the thermal element should be replaced by an equivalent structural element (such as MASS21)

Figure 4.71-1 MASS71 Thermal Mass



4.71.1 Input Data

The lumped thermal mass element is defined by one node (as shown in Figure 4.71-1) and a thermal capacitance (Heat/Degree). When used with axisymmetric elements, the thermal capacitance should be input on a full 360° basis. The thermal capacitance (CON1) may be input as a real constant or calculated (KEYOPT(3)) from the real constant volume (CON1) and either the DENS and C or ENTH material properties. KEYOPT(3) determines whether CON1 is interpreted as volume or thermal capacitance.

The heat generation is applied directly as a nodal load and is not first multiplied by the volume. Thus, if KEYOPT(3)=0 (i.e., when using the specific heat matrix), the heat generation rate must be adjusted to account for the volume. For an axisymmetric analysis the heat generation rate should be input on a full 360° basis. A temperature dependent heat generation rate of the following polynomial form may be input:

where T is the absolute temperature from the previous substep. The constants, A1 through A6, should be entered as real constants. If any of the constants A2 through A6 are non-zero, KEYOPT(4) must be set to 1. Also, if temperatures are not absolute, the offset conversion [TOFFST] must be specified. Alternately, the heat generation expression may be defined as a temperature dependent material property (QRATE) with the MP commands.

A summary of the element input is given in Table 4.71-1. A general description of element input is given in Section 2.1.

Table 4.71-1 MASS71 Input Summary

Element Name

MASS71

Nodes

I

Degrees of Freedom

TEMP

Real Constants

CON1 see KEYOPT(3),A1, A2, A3, A4, A5, A6 (constants for temperature function)

Material Properties

QRATE, DENS, C, ENTH if KEYOPT(3)=0 or QRATE if KEYOPT(3) = 1

Surface Loads

None

Body Loads

None (heat generation rates may be defined as a function of temperature by using real constants A1,A2,... or by the QRATE material property definition.)

Special Features

Nonlinear if heat generation is defined as a function of temperature, Birth and death

KEYOPT(3)

0 - Interpret CON1 as volume (with either DENS and C or ENTH supplied as material properties)

KEYOPT(4)

0 - No temperature dependent heat generation (required if all real constants A2-A6 are zero)
1 - Include temperature dependent heat generation (required if any real constants A2-A6 are non-zero)

4.71.2 Output Data

The solution output associated with the element is in two forms:

The heat generation rate is in units of Heat/Time and is positive into the node. A general description of solution output is given in Section 2.2. See the ANSYS Basic Analysis Procedures Guide for ways to view results.

The following notation is used in Table 4.71-2:

A colon (:) in the Name column indicates the item can be accessed by the Component Name method [ETABLE, ESOL] (see Section 2.2.2). The O and R columns indicate the availability of the items in the file Jobname.OUT (O) or in the results file (R), a Y indicates that the item is always available, a number refers to a table footnote which describes when the item is conditionally available, and a - indicates that the item is not available.

Table 4.71-2 MASS71 Element Output Definitions

Name

Definition

O

R

EL

Element number

Y Y
NODE

Node I

Y Y
CENT: X, Y, Z

Center location XC, YC, ZC

- Y
TEMP

Element (node) temperature

Y Y
HEAT RATE

Heat generation rate into node

Y Y
Table 4.71-3 lists output available through the ETABLE command using the Sequence Number method. See Chapter 5 of the ANSYS Basic Analysis Procedures Guide and Section 2.2.2.2 of this manual for more information. The following notation is used in Table 4.71-3:

Table 4.71-3 MASS71 Item and Sequence Numbers for the ETABLE and ESOL Commands

Name

Item

E

HEAT RATE

SMISC

1
TEMP

SMISC

2

4.71.3 Assumptions and Restrictions

When using the element with a temperature dependent heat generation rate in a steady-state solution, an iterative solution is required. The heat generation is calculated at the uniform temperature for the first substep.

4.71.4 Product Restrictions

When used in the product(s) listed below, the stated product-specific restrictions apply to this element in addition to the general assumptions and restrictions given in the previous section.

ANSYS/Thermal