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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.
if 2.13*106J of work must be done on a roller_coaster car to move it 3.00*102m,how large is the net force acting on the car ?
Describe working of Heat engine Heat engine is a device by which a system is made to undergo a cyclic process that results in conversion of heat to work. * It having of a
1- Two researchers test the same hypothesis. Researcher A rejects the null hypothesis and researcher B fails to reject the null hypothesis. Discuss three reasons that could cause
Bohr magneton (N. Bohr) It is the quantum of magnetic moment. Bohr radius (N. Bohr) It is the distance corresponding to the mean distance of an electron through the nuc
Dispersion and Impure Spectrum: Dispersion : The phenomenon due to which a polychromatic light splits into component colours, when passed through a prism is called 'dispersion
A roller coaster starts from rest at the top of an 18m hill. The car travels to the bottom of the hill and continues up the next hill that is 10.0m high. How fast is the car moving
how we make assigment
In the circuit shown below, a potentiometer is used to vary the current to the lamp. If the only resistance is due to the lamp, what is the current in the circuit?
Question 1. Discuss the physical characteristics of an X-ray beam. Write a note on factors influencing the quality and intensity of the X-ray beam 2. Explain the constructio
WHAT IS THE FREQUENCY OF ULTRA SONICS
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