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Heat transfer II

This problem demonstrates using LS-DYNA to solve a 3-dimensional transient heat transfer problem with temperature boundary conditions. Fully implicit time integration method is used for this nonlinear thermal problem. Download is available in the download section of this document.

Keywords

Keywords

This example has been taken from the Thermal class of Dr. Art Shapiro. Example name: transient_heat_transfer.k

The used Keywords in alphabetical order.

*BOUNDARY_TEMPERATURE_NODE
*CONTROL_SOLUTION
*CONTROL_TERMINATION
*CONTROL_THERMAL_SOLVER
*CONTROL_THERMAL_TIMESTEP
*DATABASE_BINARY_D3PLOT
*DATABASE_TPRINT
*ELEMENT_SOLID
*END
*KEYWORD
*MAT_THERMAL_ISOTROPIC
*NODE
*PART
*SECTION_SOLID
*TITLE

Reduced Input

Reduced Input

This example has been taken from the Thermal class of Dr. Art Shapiro. Example name: transient_heat_transfer.k

*Node and *Element Cards are removed.

  $  1-Dimensional Transient Heat Transfer in a Slab
  $
  $                4--------3                 boundary conditions
  $               /|       /|     y             insulated surface at nodes 1,2,3,4
  $              / |      / |     |             T=1. at nodes 9,10,11,12
  $             8--------7  |     |
  $            /   1-   /|  2     o---- x     material properties
  $           /   /    / | /     /              k=1.  rho=1.
  $         12--------11 |/     z               c=1.
  $          |  5-    |  6
  $          | /      | /                     analytical answer at nodes 5,6,7,8
  $          |        |/                        time     temperature
  $          9--------10                        0.10     0.28220
  $                                            
  *KEYWORD
  $
  $=============================CONTROL DEFINITIONS ==============================
  $
  *TITLE
  transient conduction in a slab
  *CONTROL_SOLUTION
           1
  *CONTROL_THERMAL_SOLVER
           1         0         3
  *CONTROL_THERMAL_TIMESTEP
           0        1.       .01
  *CONTROL_TERMINATION
          .1
  *DATABASE_TPRINT
         .02
  *DATABASE_BINARY_D3PLOT
         .01
  $
  $============================== PART DEFINITIONS ===============================
  $
  *PART
  $      PID     SECID       MID                                              TMID
  slab
           1         1                                                           1       
  $
  $============================= SECTION PROPERTIES ==============================
  $
  *SECTION_SOLID
  $    SECID    ELFORM
           1         1
  $
  $======================== THERMAL MATERIAL PROPERTIES ==========================
  $
  *MAT_THERMAL_ISOTROPIC
           1        1.
          1.        1.
  $
  $============================= NODE DEFINTIONS =================================
  $
  *NODE
         1              0.              0.              0.
         2              1.              0.              0.
         3              1.              1.              0.
         4              0.              1.              0.
         5              0.              0.              .5
         6              1.              0.              .5
         7              1.              1.              .5
         8              0.              1.              .5
         9              0.              0.              1.
        10              1.              0.              1.
        11              1.              1.              1.
        12              0.              1.              1.
  $
  $============================ ELEMENT DEFINITIONS ==============================
  $
  *ELEMENT_SOLID
         1       1       1       2       3       4       5       6       7       8
         2       1       5       6       7       8       9      10      11      12
  $
  $======================== THERMAL BOUNDARY CONDITIONS ==========================
  $
  *BOUNDARY_TEMPERATURE_NODE
           9         0        1.
          10         0        1.
          11         0        1.
          12         0        1.
  *END

Figures

Figures

This example has been taken from the Thermal class of Dr. Art Shapiro. Example name: transient_heat_transfer.k

image01.gif

image02.gif

Animated Result

Animated Result

This example has been taken from the Thermal class of Dr. Art Shapiro. Example name: transient_heat_transfer.k

Result

Download

Download

This example has been taken from the Thermal class of Dr. Art Shapiro. Example name: transient_heat_transfer.k