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Betsy
Recent content by Betsy
B
I
Solution of the 1D heat equation
Here's the link: https://aip.scitation.org/doi/abs/10.1063/1.1145989
Betsy
Post #5
Mar 10, 2019
Forum:
Differential Equations
B
I
Solution of the 1D heat equation
But it was published in a good journal by a very renowned professor (now). They must have some logic behind it which is unfortunately not mentioned in the paper.
Betsy
Post #3
Mar 10, 2019
Forum:
Differential Equations
B
I
Solution of the 1D heat equation
$$\frac{\partial T}{\partial t}=\alpha\frac{\partial^2 T}{\partial^2 t}$$ with an initial condition and boundary conditions $$T(x,0)=T_0$$ $$T(L,t)=T_0$$ $$-k\left.\frac{\partial T}{\partial x}\right|_{x=0}=2A\cos^2\left(\frac{\omega t}{2}\right)=A(\cos\omega t+1)$$ where $A=V_0^2/(8RhL)$...
Betsy
Thread
Mar 10, 2019
1d
Differential eqautions
Heat
Heat and mass transfer
Heat capacity
Heat equation
Thermal conductivity
Replies: 8
Forum:
Differential Equations
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Betsy
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