Synthesis of pumping machines

Synthesis of Pumping Machines from Basic Principles, 237... 

SYNTHESIS OF PUMPING MACHINES FROM BASIC PRINCIPLES 237... 

Example 6.2 The Synthesis of the Inverse Single Screw Pump There is, however, another, more elegant way to relax the channel-length constraint, as shown in Fig. E6.2. After one circumference, a flow channel formed by the moving and stationary planes of a given width can be twisted helically by an amount equal to the width of the channel to create a much longer helical channel on the same roll or shaft. The channel itself can be simply machined onto the inner surface of the stationary cylinder or barrel. 

Fig. E6.5b The synthesis of a flat spiral pump from building block 1. (a) A section of the curved channel formed by a stationary plane and the rotating disk plane (b) the extension of the channel into a flat spiral (c) outside view of the flat spiral pump, with the spiral channel machined into the surface of one disk and another closely spaced rotating disk covering it.

Example 6.6 The Synthesis of the Rotating Cup Pump We now take building block 2 and pair it with both a rotating solid cylinder and a hollow cylinder to create two moving planes, as shown in Fig. E6.6a. The separation between the axial inlet and outlet ports machined into the cover plate [Fig. E6.6a] is a bit cumbersome and has to be created by an axial channel block attached to the cover plate and extending into the cup. Apparently, no such machine actually exists and it may not be too useful, but the point is that this... 

Fig. E6.6b The synthesis of the free rotating flight pump from building block 2. (a) an annular channel is created between the rotating shaft and hollow cylinder (b) the channel is twisted and extended into a helical spiraling channel (c) the channel is formed by a spiral that rotates between a stationary shaft and stationary barrel, with a feed port and exit port machined into the barrel.

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