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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 kind of batteries are used in TL coachees. Briefly explain about each one of them? Ans. In TL coaches two kind of batteries are used. They are SMF and VRLA batteries.
Grounding a Positively Charged Electroscope While the positively charged electroscope is touched and its charge becomes grounded or neutralized this is depicted within the anim
What do you mean by dead time in GM counter? Draw a neat diagram at GM counter and explain its working. Mention some of its applications. Give basic principle of Geiger-Muller coun
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to find neuteral point of earth
WORKING OF TERRESTIAL TELESCOPE
Voltage: Voltage is the electrical equivalent of mechanical potential. If a person drops a rock from the first storey of a building, the velocity it will reach when dropped wi
The electromagnetic wave is going in free space with electricvector . How much average energy is passing through a rectangular hole of length 3 cm and width 1.5 cm inxyand in yz pl
Lenz''s Law states that the Nature of induced emf in the coil is such that it opposes the causes of it. It can be explained by a simple understanding of Faraday EM induction exper
C onsid er that two large paralle l plates forming a capacitor are separated by a distance d with vacuumed as the dielectric medium between the plates. The plates are connected to
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