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Suppose Fluid (say, water) occupies a domain D and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid as well as diffused within it; let u= u(x,t) be the concentration of the substance( mass per unit volume). Let be the concentration flux (mass per unit area per unit time, analogous to heat flux). Let B(x) be a ball of radius r > 0 contained in D. Derive the conservation law.
Fick's law for diffusion states that the concentration flux due to diffusion is proportional to the gradient of the concentration flux due to diffusion is proportional to the gradient of the concentration. Deduce that .
Apply the divergence theorem to the conservation law and substitute the flux formula to arrive at the diffusion- transport equation:
this is the higher- dimensional transport equation. If the fluid is motionless, it is called the diffusion equation.
Determine the causality principle for the Klein- Gordon equation in one dimension. Deduce that the speed of propagation is at most c.
What is an alloy? An alloy is a homogeneous hybrid of two or more elements, at least one of which is a metal, and where the resulting material has metallic properties. The resu
what is it?
deflection magnetometer
What are capacitors used for in induction coils
The Maximum displacement of a vibrating particle of medium from its mean position is known as amplitude.
from any unit to pascel
What are the branches of physics? The basic branches of physics are a) Classical mechanics b) Electromagnetism (including optics), c) Relativity, d) Thermodynamics,
#question kalari meter
a spacecraft is moving relative to the earth. an observer finds that according to her clock 3601 seconds elapse between 1pm and 2pm on the spacecrafts clock. what is the spacecraft
A forced harmonic oscillator is at resonance with some periodic force. Evaluate the phase difference between the driving force and the velocity of the oscillator?
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