Recent content by Ax_xiom

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    High School Confusion about one of Maxwell's equations

    But not in the case of a coil rotating in a magnetic field (if so, are the underlying physics causing a current to be generated in a rotating wire in a magnetic field different to the physics of the same thing happening in a wire surrounded by a rotating magnet? If so, why?)
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    High School Confusion about one of Maxwell's equations

    So in most cases, is the induction from a coil in a magnetic field not due to Faraday's Law of Induction? So the electric field is generated everywhere, but a current is only generated within the wire due to it having free electrons?
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    High School Confusion about one of Maxwell's equations

    So Faraday's Law of induction states this: $$ \nabla \times E = - \frac {\partial B} {\partial t} $$ Or if we write it in it's integral form: $$ \int E \cdot dl = - \frac {d \Phi_B} {dt} $$ which (to my understanding) means that the magnitude of the EMF around a coil of wire will be equal to...
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Hello, it's been a while, and I've decided to revisit this topic. I have a quick question: when dealing with partial derivatives, is it fine to treat them as ordinary derivatives if the values depend only on one variable? I'm trying to derive the expressions in the paper from the ones in the...
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Ok, is ##t_0## or ##t_d## the column I should be looking at for this?
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Isn't that what I did when I got the result I'm currently testing? I took the result for ##\frac{dz}{dt}## and changed it to an expression of the mach number, then used that expression to calculate the pressure (and overpressure)
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Do you mean compare overpressure to the mach number of the shockwave?
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Interesting. For smaller distances my model aligns with the data fairly well (although the trend seems to be slightly less than cubic) but for larger distances the pressure values seem to follow a completely different relationship entirely.
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Do mach reflections affect the overpressure that much? Even when the explosion is on the ground? I reasoned that the effects would only be some sort of scaling factor as the solution that Diaz came up with was able to model surface bursts by dividing the calculated yield by 1.8 to account for...
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    What Nukemap does is that it takes Glasstone and Dolan's data on nuclear weapons and interpolates between them to allow Nukemap to simulate airbursts. More detail about nukemap can be found here. Also isn't the STvN solution for the position of a shockwave? How would you use it for the...
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    Yeah, I've done the same for distance and the equation also disagrees: The overpressure seems to be decreasing similarly to the inverse square law but my model predicts a cubic decrease. It does, that's why it can also model airbursts aswell
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    This one by Alex Wellerstein. The dimensional analysis makes sense but plotting yield and overpressure on a graph shows that it isn't linear: Taking the logarithm of both sides and checking the gradient of the line makes the non-linear trend of the line even more clear: It looks more like a...
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    Undergrad What areas of maths and physics do I need to understand explosion physics?

    I did it with overpressure and I'm getting some odd results: dR/dt transforms with the chain rule like this: $$\frac{dR}{dt} = \frac{dR}{dz}\frac{dz}{d\tau}\frac{d\tau}{dt}$$ And our variables are these: $$ \begin{align*} R_{0}z &= R \\ \tau &= \frac{a_{0}t}{R_{0}} \end{align*} $$ So their final...