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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.
As a longitudinal wave moves through a medium, the particles of the medium: w) Vibrate in a path parallel to the path of the wave x) Vibrate in a path perpendicular to t
There are several conditions for formation of cat ions ? Low Ionisational potential ? Lesser Charge ? More atomic size of atoms forms cations easily ? Ions having Inert
For a very every case the moment of inertia of a one particle about an axis is given by, I = mr 2 Here, m is the mass of the particle and r its distance from the axis under
Theory of bi prism
The birghtness of objects past Neptune actually varies approximately as 1/d^4. Why is that the case?
In order to determine performance of program normal form of analysis of program is to just calculate total amount of CPU time needed to execute different part of program it implies
pascal; Pa The derived SI unit of pressure explained as 1 N working over an area of 1 m 2 ; thus it has units of N/m 2
UNIT: SI unit of force is Newton (N).
What is a digital signal? Describe the function of modem in data communication. Write two benefits of digital communication
i want to do a project of physics the topic is electo magnetic induction. i want d topic and procedure
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