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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 is Modern view Modern view : It objects tend to remain in their initial state; force is needed to change motion. Resistance to alters in motion is known as inertia.
Short- distance radiotherapy or brachytherapy: The advantage: it gives a very large dose to the tumor with a minimum radiation to the surrounding normal tissue. Disadva
Bohr given a model for hydrogen molecule which is also applicable for some lighter atoms in which a one electron revolves around a stationary nucleus of positive charge Ze (known a
The magnetic induction at a point 15 cm from a long straight wire carrying a current is 4 X 10 -6 T Compute the current. (J - 12) B = μ o I/2πa I = 2πa X B/μo Current I
IF a football player kicks a football so that it spends 3.0 seconds in the air and travels 50m, then find the velocity and angle of the kick.
A 3Kg bar of aluminum has to be heated from 25 degrees Celsius to 75 degrees Celsius. how many calories are needed to achieve this temperature increase?
what are unlike parallel forces with example?
what is meant by positive deviation of beer lambert''s low
what is the physical significance of damping coefficient?
It has large energy gap 3.0ev and is regarded as high temperature semiconductor. It is extremely refectory subliming in the region of 2800 0 C. Because of large band gap it is hope
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