- #1
Drokz
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Hi there, I have to solve the following problem:
A semi-infinite body x<0 has thermal conductivity K_1, density \rho_1, and specific heat C_1. It is initially at temperature T_0. At time t=0, it is placed in thermal contact with the semi-infinite body x>0, which has parameters K_2, \rho_2, C_2, and is initially at temperature T=0. Find T_2(x,t), the temperature in the second body.
\frac{\delta^2 T}{\delta x^2} = \frac{C \rho}{K}\frac{\delta T}{\delta t}
Does someone know what boundary conditions I have to apply? Tried using the Heaviside step function, but that got difficult when Fourier transforming it.
Thought about considering it as two different problems, but then I have only one boundary condition T(\infty, t) = 0?
Thanks in advance for your help.
A semi-infinite body x<0 has thermal conductivity K_1, density \rho_1, and specific heat C_1. It is initially at temperature T_0. At time t=0, it is placed in thermal contact with the semi-infinite body x>0, which has parameters K_2, \rho_2, C_2, and is initially at temperature T=0. Find T_2(x,t), the temperature in the second body.
\frac{\delta^2 T}{\delta x^2} = \frac{C \rho}{K}\frac{\delta T}{\delta t}
Does someone know what boundary conditions I have to apply? Tried using the Heaviside step function, but that got difficult when Fourier transforming it.
Thought about considering it as two different problems, but then I have only one boundary condition T(\infty, t) = 0?
Thanks in advance for your help.