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Undergrad Solution of the 1D heat equation
Here's the link: https://aip.scitation.org/doi/abs/10.1063/1.1145989- Betsy
- Post #5
- Forum: Differential Equations
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Undergrad 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
- Forum: Differential Equations
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Undergrad 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
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- 1d Differential eqautions Heat Heat and mass transfer Heat capacity Heat equation Thermal conductivity
- Replies: 8
- Forum: Differential Equations