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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.
A=2i+3j+k B=3i+2j+4k Find:1)A.B=? 2)A+B=?
Describe the term amorphous solids. Amorphous solids: Solids along with particles not arranged in an ordinary fashion. They have merely short range order or still the partic
Molecules of a medium after absorbing incoming light radiations, sends them in all direction. This process is called as Scattering.
Are there different types of optical ports? Optical ports can be divided into two types: pressure and potting. Potting optical ports are small more than a hollow tube into that
In a Wheatstone bridge ABCD, a galvanometer is connected between A and C, and a battery among B and D. A resistor of unknown value is connected among A and B. When the bridg
Q. How several pounds does one gallon of water weigh? Answer:- One wine measure or else US gallon of water weighs 8.34 pounds. An imposing Gallon is ten pounds of water at
HOW TO DRAW OR GET B-H CURVES & THEIR HYSTERISIS LOOPS FOR NON MAGNETIC MATREIALS
what is the energy value of a candle
Write a short (approx. one page) review of the contribution of one of the following people to the historical development of Physics; Aristotle Ibn al-Haytham Ga
It makes sense that copper should be used because it could heat up faster, making the event more efficient.
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