Simulate heat conduction through 1D rods and 2D plates. Set boundary temperatures and watch temperature distribution evolve in real time.
Heat Conduction Simulator follows how a temperature field changes inside either a one-dimensional rod or a two-dimensional plate after boundary temperatures are set. It is intended for observing diffusion over simulated time, including the difference between an early transient and the eventual steady pattern. The common misreading is to treat a newly displayed profile as equilibrium. Fixed boundary values constrain the ends or edges, but interior temperatures generally need time to respond.
In 1D mode, position has one spatial coordinate. Temperatures at the two ends act as boundary values, and the interior profile changes with simulation time as energy conducts between warmer and cooler regions. With fixed unequal end temperatures, a homogeneous, source-free rod approaches a straight steady profile, although its earlier transient profiles need not be straight.
Plate mode extends the temperature field to two spatial coordinates. Boundary choices on the outer edges influence nearby locations first, after which their effects spread through the interior. Equal temperatures on every edge are compatible with a uniform steady state. Different edge temperatures produce a two-dimensional gradient, and symmetric boundary settings should produce a corresponding symmetric long-time pattern.
Only under specific conditions. For a homogeneous 1D rod of constant cross-section, with no internal heat generation, constant conductivity, and fixed end temperatures, the steady profile is linear. Its geometric midpoint is then the arithmetic mean of the endpoints. During the transient, or for a general 2D plate, that shortcut does not necessarily apply.
Not necessarily. A real-time animation is not automatically calibrated to laboratory seconds. A quantitative prediction requires the simulator's spatial scale, time units, and thermal diffusivity to match the object. Thermal diffusivity depends on conductivity, density, and specific heat. If those quantities are absent or unspecified, treat the timing as qualitative rather than as a material forecast.
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