Recent content by momentum2357

  1. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Assuming that the heat lost is neglegible and the aluminum block has reached steady state, would the following be the correct derivation of the formula (1D heat equation)? \frac{\partial^2 T}{\partial z^2}=0\iff T(z)=az+b . By Fourier's Law, -\kappa\frac{\partial T}{\partial z}=h(T-S)...
  2. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Thank you for the documents. In the first document, there is a problem, correct? The simplification from (1.5) to (1.6) is incorrect.
  3. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Could you please demostrate it mathematically?
  4. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Please move this to a suitable place as you wish; thank you. I have worked with the heat equations for a while; however, I have not reached anything desirable. I was wondering about using Fourier's Law, however, I have trouble taking into account that heat is being lost. Any ideas?
  5. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    I am conducting an experiment relating to thermoelectric modules. Also, I don't mind the math for I have enough knowledge to understand heat equations. As a result, would you please enlighten me with the heat equations? Thanks in advance.
  6. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Suppose that I have an aluminum cube with side lengths 10 cm. Suppose that I uniformly and continuously apply a temperature of 60 degrees celcius to one of its sides. The medium surroudning it is air with a temperature of 27 degrees celcius. After t seconds, what is the temperature of the...
  7. M

    Frame of Reference- arrow traveling through a tube

    What I have is that the frames of reference are the tube and arrow, respectively. I concluded this using the simple length contraction formula L=L_0\sqrt{1-\left(\frac{v}{c}\right)^2}}<L (how can I use LaTeX on these forums?). Correct?
  8. M

    Frame of Reference- arrow traveling through a tube

    I was just wondering about the following problem. Suppose that you have an arrow placed in a tube. If the arrow travels at a relativistic speed, does there exist a frame of reference such that the arrow is completely in the tube with extra tube at its ends? Does there exist a frame of...
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