HeatTemperatureCondition

HeatTemperatureCondition[pred,vars,pars]

represents a thermal surface boundary condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

HeatTemperatureCondition[pred,vars,pars,lkey]

represents a thermal surface boundary condition with local parameters specified in pars[lkey].

Details

Examples

open allclose all

Basic Examples  (2)

Set up a thermal surface boundary condition:

Compute the temperature field with model variables vars and parameters pars with a thermal surface of at the left boundary:

Set up the equation:

Solve the PDE:

Visualize the solution and note the sinusoidal temperature change on the left:

Scope  (4)

Basic Examples  (2)

Define model variables vars for a transient temperature field with model parameters pars and a specific boundary condition parameter:

Define model variables vars for a transient temperature field with model parameters pars and multiple specific parameter boundary conditions:

1D  (1)

Model a temperature field with two heat conditions at the sides:

del .(-k del Theta(x))^(︷^( heat transfer model)) =0

Set up the heat transfer model variables vars:

Set up a region :

Specify the heat transfer model parameter thermal conductivity :

Specify the heat surface conditions:

Set up the equation:

Solve the PDE:

Visualize the solution:

3D  (1)

Model a temperature field with two heat conditions at the sides and an orthotropic thermal conductivity :

del .(-k del Theta(x,y,z))^(︷^( heat transfer model)) =0

Set up the heat transfer model variables vars:

Set up a region :

Specify an orthotropic thermal conductivity :

Specify the heat surface conditions:

Set up the equation with a thermal heat flux of applied at the left end for the first 300 seconds:

Solve the PDE:

Visualize the solution:

Wolfram Research (2020), HeatTemperatureCondition, Wolfram Language function, https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html.

Text

Wolfram Research (2020), HeatTemperatureCondition, Wolfram Language function, https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html.

CMS

Wolfram Language. 2020. "HeatTemperatureCondition." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html.

APA

Wolfram Language. (2020). HeatTemperatureCondition. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html

BibTeX

@misc{reference.wolfram_2025_heattemperaturecondition, author="Wolfram Research", title="{HeatTemperatureCondition}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html}", note=[Accessed: 21-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_heattemperaturecondition, organization={Wolfram Research}, title={HeatTemperatureCondition}, year={2020}, url={https://reference.wolfram.com/language/ref/HeatTemperatureCondition.html}, note=[Accessed: 21-February-2025 ]}