Transient temperature calculator


In this calculator you can calculate the steady state temperatures of a network. As well as the temperatures as function of time. Follow the steps, and if you are ready press the button calculate and evaluate the results in the graph.

In a lumped capacity model, a thermal system is divided in to

  • Heat Capacities
  • Thermal Couplings

The heat capacities are called Nodes, and it is assumed that the temperature in one node is uniform. Heat capacities can be:

  • Large parts
  • Thermally conductive parts
  • Multiple parts with good thermal conducion between them
  • Parts with "important" temperatures

In the image above, a three node system is shown. Part 1 is in contact with body 2 by a few connection points. Body 2 is in contact with body 3, which is a large and surrounds the other parts.
In the picture to the right, the conductive couplings and radiation couplings identified. Body 1 has a heat source.

Use the calculation tool to calculate the temperatures as function of time.

Step 1 Input system size

#nodes How many nodes does the system contain?(2-6)
if you change this, all data will be lost.


Step 2 Input thermal couplings

from to type value[W/K]

Conductivities matrix [W/K]
node1node2node3node4node5node6
node1000000
node2000000
node3000000
node4000000
node5000000
node6000000

Convection matrix [W/K]
node1node2node3node4node5node6
node1000000
node2000000
node3000000
node4000000
node5000000
node6000000

Radiation matrix [W/K]
node1node2node3node4node5node6
node1000000
node2000000
node3000000
node4000000
node5000000
node6000000



Step 3 Constant temperatures nodes (e.g. heatsinks)

node temperature [K]

'Node temperatures[K]'
node1node2node3node4node5node6
T - - - - - -







Step 4 Input Heat loads

node Power [W]

Heat load[W]
node1node2node3node4node5node6
Q000000






Step 5 Calculate steady state

Press calculate to evaluate the results

-

-

(drag blocks to rearrange locations)

Step 6 Input heatcapacities of the nodes ( C=L*B*H*rho*Cp)

node Capacity [J/K]

Heat capacity[J/K]
node1node2node3node4node5node6
node1000000
node2000000
node3000000
node4000000
node5000000
node6000000

Step 7 Input Initial Temperatures (specifify for all)

node Temperature [K]

Initial temperatures [K]
node1node2node3node4node5node6
T000000

Step 8 Set simulation time

[s]

Current: t_end =NaNs

Step 9 Calculate Transient Temperature

Transient node temperature responsenode1node2node3node4node5node601-1.0-0.50.00.51.0time [s]T [K]
Xnode1node2node3node4node5node6
0000000
1000000

















This calculator was made for educational purposes only. No rights can be obtained from the results you calculate. If you have comments please contact info@dspe.nl.



References

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