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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.
Three capacitors of capacitance 6µF each are available. Determine the minimum and maximum capacitances that could be acquired.
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The opposition offered to the circular motion of bodies like sphere, disc, ring, cylinder etc. on another surface is known as rolling friction.
CPH has long wavelength, how much it is? Answer; according relation;. If we know its mass and speed, then we can talk about CPH wavelength
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It describes the behaviour of a collection of a particle N(E) with gives energy through N(E)α exp(-E/KT) where K is Boltzmann constant. It can be explained as a collection of
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is there any way to photodissociate explosives or bullet so that it can not fired
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