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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.
DRAW A GRAPH OF DISTANCE VERSUS TAN
How does the elevation and air pressure affect the boiling point of water? The only factor that explains the boiling point of water at any altitude is the barometric pressure (
Determine an expression for the current in the ring jumping ring demonstration, an electromagnet provides magnetic field of B=0.2 cos 377t tesla over a circle of radius 1.2cm
Capacity
P-Type Substance: When a small quantity of boron or Indium (group III A elements ) is added to silicon or Germanium, holes are formed in it and it becomes good conductor of pos
Length contraction
what is the biot law give the mathmatical description.
Atwood's machine A weight-and-pulley system is used to measure the acceleration because of gravity at Earth's surface through measuring the net acceleration of a set of weight
A typical brick has dimensions of 20.0 cm x 10.0 cm x 5.0 cm and weighs 20.0 N. How does the pressure exerted by a typical brick when it is resting on its smallest side compa
Subtracting 2 Vectors This is where things obtain a bit more interesting. What we required to note here is in which in Physics a negative sign simply means "in the opposite dir
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