Category: Engineering Math
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The balance principle
Balance Principle Suppose you deposit $100 in your bank account and then withdraw $10. At the same time, your account generates $1 in interest. The remaining balance is then $100 – $10 + $1 = $91$. This equation suggests that the balance in your account is equal to the amount you deposit, plus whatever interest…
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Transport fluxes
Engineering Essay In a previous post, I discussed heat transfer and derived Fourier’s law of heat conduction. In one dimension, it is given by: $$ q = -\kappa \frac{dT}{dx} $$ where \( q \) is the heat flux, \( \kappa \) is the thermal conductivity, and \( \frac{dT}{dx} \) is the temperature gradient. It can…
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Fourier’s law of heat conduction
Fourier’s Law of Heat Conduction In science and engineering, we often need to study the transport of some physical quantities. One of the most straightforward examples is the transport of heat, as we all have experience with heat transfer. Imagine conducting an experiment where one end of a metal rod is held while the other…