By Hans U. Fuchs (auth.)
ISBN-10: 1475725426
ISBN-13: 9781475725421
ISBN-10: 1475725442
ISBN-13: 9781475725445
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Example text
If the fluid were ideal, the plate would simply slip on top of it. Since real fluids are viscous, however, they remain at rest with respect to the surfaces of bodies. In other words, the liquid will be pulled along with the moving plate. Naturally, the velocity of the fluid with respect to the lower plate has to be zero as well. Therefore, the magnitude of the fluid velocity changes from the speed of the upper plate to zero. In other words, there is a velocity gradient dvjdy in the y-direction.
11. 60 Pa·s is flowing through a system of pipes as in Figure 25. 20 bar. 0 cm. Neglect the influence of comers in the pipes, and assume the law of Hagen and Poiseuille to apply. a) What is the value of the volume flux through the lower pipes? b) How large is the total volume flux through the pipes? c) What is the pressure at B? FIGURE 24. Problem 10. Om ~\ IL::l FIGURE 25. Problem 11. 0m o • • A c B FIGURE 26. Problem 12. 0m 12. 20 Pa·s. 0025 m2) the level is 60 cm. 0 cm. a) What is the volume current right after the hose has been opened?
If we consider only the body as the physical system and neglect the field in empty space, the magnetic energy current associated with the magnetization of the paramagnetic substance is IE,mag = -PaH M (59) There is an interesting point to be made about the examples just treated. The power involved in the compression of a simple fluid and in the magnetization of a body involves the rate of change of an extensive quantity rather than the transfer of a quantity such as charge or mass. Obviously, there are physical processes in which quantities are not transported.
The Dynamics of Heat by Hans U. Fuchs (auth.)
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