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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.
Earth and Moon two are act as a two magnets. and when they rotating the flux changes . then the current produces or not . if not what is the reason? Ans) E.M.F is induced only whe
NEGATIVE ACCELERATION OR RETARDATION OF DECLERATION: If velocity of a body is reducing, then its acceleration is said to be negative. The direction of negative acceleration is
A charge of 1.5µC is carried on two parallel rectangular plates each measuring 60mm by 80mm. Measure the electric flux density. If the plates are spaced 10mm apart and the v
A model to show the apparent path of the sun among the stars The signs of the zodiac are drawn in the correct order on a strip of paper about 60 cm long and 8 cm wide. The ends
p-type semiconductor: Consider a trivalent impurity such as Gallium (Ga, Z = 31) is doped in a pure semiconductor germanium (Ge, Z = 32). Each Ga atom forms three covalent bonds
An electrical dipole is just a separation between a negative and positive charge of the same magnitude. Consider that a dielectric material is exposed to an electrical field. The e
TIME OF FLIGHT: "It is the total time for which the projectile remains in air". As, the body goes up and comes back to similar level, so it does not cover vertical distance,
How comes the word physics?
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