3-12 - 3-12. A variety of devices, such as ram pumps,...

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3-12. A variety of devices, such as ram pumps, hydraulic jacks, and shock absorbers, make use of moving solid cylinders to generate a desired fluid motion. In Figure 3.12 we have illustrated a cylindrical rod entering a cylindrical cavity in order to force the fluid out of that cavity. In order to determine the force acting on the cylindrical rod, we must know the velocity of the fluid in the annular region. If the density of the fluid can be treated as a constant, the velocity can be determine by application of the macroscopic mass balance and in this problem you are asked to develop a general representation for the fluid velocity. Figure 3.12 . Flow in an hydraulic ram 3-12. In this problem the density is assumed to be constant so that we can express Eq. 3-44 as () t dt dA dt +− = 0 vwn A V (1) Here we have replaced V and A with V and A since the volume and area are no longer arbitrary but are determined by the process illustrated in Figure 3.12.
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This note was uploaded on 07/15/2010 for the course ECM 051 taught by Professor B.g.higgins during the Winter '10 term at UC Davis.

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3-12 - 3-12. A variety of devices, such as ram pumps,...

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