- #1
patricio ramos
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I am seeing the heat conduction differential equation, and I was wondering about a boundary condition when the equation is of transient (unsteady) nature.
When analyzing boundary conditions at the surface of say, a sphere, the temperature does not depend on time. For example, if you have conduction, but at the surface you have convection, the boundary condition is written like this:
$$-k* dT(r,t)/dx = h(T(r)-Tsurrounding)$$
r is the radius of the sphere, t is time and h is the convection coefficient. I notice that T is independent on time when writing radiation and convection boundary conditions. Why is this? Is it because the temperature at the surface is constant even if the problem is transient?
Thanks
When analyzing boundary conditions at the surface of say, a sphere, the temperature does not depend on time. For example, if you have conduction, but at the surface you have convection, the boundary condition is written like this:
$$-k* dT(r,t)/dx = h(T(r)-Tsurrounding)$$
r is the radius of the sphere, t is time and h is the convection coefficient. I notice that T is independent on time when writing radiation and convection boundary conditions. Why is this? Is it because the temperature at the surface is constant even if the problem is transient?
Thanks