HeatInsulationValue

HeatInsulationValue[pred,vars,pars]

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

HeatInsulationValue[pred,vars,pars,lkey]

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

Details

Examples

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Basic Examples  (2)

Set up a thermal insulation boundary condition:

Model a temperature field and a thermal insulation and a thermal heat flux boundary with:

rho C_p(partialTheta(t, x))/(partialt)+del .(-k del Theta(t,x))^(︷^( heat transfer model )) =|_(Gamma_(x=0))0^(︷^( heat insulation ))+|_(Gamma_(x=1/5))q(t,x)^(︷^( thermal heat flux ))

Set up the heat transfer model variables vars:

Set up a region :

Specify heat transfer model parameters mass density , specific heat capacity and thermal conductivity :

Specify boundary condition parameters for a heat flux of :

Specify the equation:

Set up initial conditions:

Solve the PDE:

Visualize the solution:

Scope  (2)

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

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

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_heatinsulationvalue, author="Wolfram Research", title="{HeatInsulationValue}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/HeatInsulationValue.html}", note=[Accessed: 12-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_heatinsulationvalue, organization={Wolfram Research}, title={HeatInsulationValue}, year={2020}, url={https://reference.wolfram.com/language/ref/HeatInsulationValue.html}, note=[Accessed: 12-February-2025 ]}