Heat Conduction with Tabulated Thermal Conductivity
This heat conduction tutorial example illustrates how to use data from a (text) file in an equation coefficient. The tabulated data here represents non-linear thermal conductivity as a function of temperature k = f(T). Where the conductivity curve is given as sin(pi/8) to sin(3/4*pi) for temperature values between 280 …
Cooling Effect of Adding Fins
This example models heated steam at a constant temperature of 120 C flowing through a aluminium pipe with 3 cm diameter. Heat loss to the surrounding cool air (at 25 C and heat transfer coefficient of h = 60 W/m2 C) is computed for a plain pipe, and also a pipe where 200 cooling fins per meter has been added. The …
Space-Time Transformation of Heat Conduction
This example considers transient heat diffusion in a solid 1 m rod where one end is kept at T = 25 degrees and the other subject to constant heat flux q_n = 1. This one-dimensional time dependent problem is transformed to a static two dimensional one. The computed results can both be compared with the analytical …
Thermal Bridge
This is a benchmark test case for modeling the steady-state temperature distribution in a thermal bridge in building construction. The model consists of a 6 mm concrete slab subjected to an outside temperature of 0 °C and heat loss due to convection. The inside features a 4 cm layer of air enclosed within a 1.5 mm …
Orthotropic Heat Conduction
This is an example of modeling anisotropic heat conduction in an orthotropic material where a heated solid bar suddenly is cooled by submerging it in a cool fluid. The material features different thermal conductivities in the x and y-directions which is accounted for by modifying the diffusion term in the heat transfer …
Simulation of Heating to Promote Drug Mixing in the Eye
The leading cause of central vision loss in the developed world is from age-related macular degeneration (AMD). Although certain types of AMD can generally be managed with injections of anti-VEGF agents, the treatment is sometimes ineffective. The linked study examines how this type of treatment potentially can be …
Resistive Heating in a Tungsten Filament
This example models resistive Joule heating where the resulting current from an applied electric potential will heat a thin spiral shaped Tungsten wire, such as can be found in incandescent light bulbs. The filament reaches an equilibrium temperature where the internal heat generation is balanced by radiative heat loss …
Shrink Fitting of an Assembly
This example models shrink fitting of a two part assembly. A chilled tungsten rod is inserted into a slot in a heated steel frame. The rod can be fitted due to thermal expansion of the frame, and when the assembly reaches equilibrium temperature the two parts will be joined due to the ensuing pressure fit. The model …