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  1. A

    Heat Flow Through a Truncated Cone

    This problem seems best treated in cylindrical coordinates. There is azimuthal symmetry, and there is no heat loss or generation within the cone, so our thermal conductivity equation reads: $$\vec{q} = -k(\frac{\partial T}{\partial \rho} \hat{\rho} + \frac{\partial T}{\partial z} \hat{z})$$ We...
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    Thermal Resistance of a Hollow Circular Cone

    We can write our radius as a function of the height, z, of our cone: $$R(z) = \frac{R_2 - R_1}{h} z + R_1$$ Where h is the height of our cone, ##h = \frac{L}{40}##. Our cross sectional area, $$A = 2 \pi R t$$ can then be written as $$A = 2 \pi t [\frac{R_2 - R_1}{h} z + R_1]$$ This I am all...
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    New Undergraduate Physics Major

    Hi, my name is Alex and I'm a fourth year undergraduate physics major. I'm currently interning at JPL doing Low-Temperature Physics Research.