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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.
O rdinary glass is a good insulator but is too brittle to be used for anything but scientific instrument part s, accumulator container and for certain other special purposes. It is
Which Is Best Tan A position Or Tan B Position.?
Determine the HVL of photons in air, water, muscle, bone, and Pb for energies of 5 keV, 100 keV, 1 Mev and 100 MeV and then fill in the table below. Note that you must find the HVL
A cylinder having 1.00 g of water at the boiling point is heated until all the water turns into steam. The expanding steam pushes a piston 0.365 m. There is a 215-N frictio
write a note on relative velocity.
A non uniform rod AB has a mass M and length 2L the mas per unit length of the rod is mx at a point of the rod distant x from A.find the moment of inertia of this rod about an axis
Why does heat cause matter to expand? Water contracts as it cools, like all other liquids, unless it reaches a temperature of about 4 degrees Celsius, at which point it enlarge
What is the fractional change in the resistance of an iron filament when its temperature changes from 25.0°C to 50.0°C?
Explain the procedure of finding Miller indices. Procedure of finding Miller indices: a. The intercepts of the needed plane onto the three coordinate axes has to be founded.
if two metal spheres are mounted on insulators then how will we give them equal charge by using a charged glass rod?
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