By J. A. Fox (auth.)
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Extra info for An Introduction to Engineering Fluid Mechanics
The Chattock micromanometer is an old but extremely sensitive device for measuring very small pressure differences. It is awkward to use but is probably the cheapest of the very sensitive micromanometers. Electronic pressure transducers The manometers mentioned are all well suited to measuring steady pressure and have the advantage of being absolute measuring devices; the conversion of the reading into pressure depending solely upon the geometry of the instrument and the density of the manometer fluid.
Shear stresses must be exerted on all faces of the parallelepiped shown in Fig. 2 in addition to the pressure and body forces illustrated. If the relationship between these shear stresses and the shear deformations occurring is given by Newton's law of viscosity (this assumes laminar flow) it is possible to include the frictional effects in the analysis by adding another set of terms to the Euler equations. The development of the resulting equations is lengthy and cannot be given here (but see Hydrodynamics by H.
1. , ar 02 f---'-----'=t'/ u---.. . ~u+ ax oX ~ y v x Fig. 1 29 30 An Introduction to Engineering Fluid Mechanics Fluid entering face AEGC will have a mass density Px and when it leaves across face BFHD it will have a mass density of Px + (apx/ax) 3x. Similarly for faces ABDC and EFHG the densities will be pz and pz + (apz/az) oz and for faces CGHD and AEFB Py and Py + (apy/ay) oy. The difference between the amount of fluid entering and leaving the element per second must be stored within the element and this is possible if the fluid within the element is compressible.
An Introduction to Engineering Fluid Mechanics by J. A. Fox (auth.)