Civil Engineering License Review, Fifteenth Edition

Chapter 6: Hydraulics

Bruce E. Larock

INTRODUCTION

This chapter will selectively review hydrostatics, the fundamental principles for conservation of fluid mass (continuity), energy and linear momentum, the selection and operation of centrifugal pumps and turbines, and elements of open channel flow. The review focuses primarily on water, assumes it is incompressible, and uses standard values for its properties. (Water density and viscosity depend somewhat on temperature, and these values can be obtained from tables in reference books.) Since entire books have been written on hydraulics, one can augment this review, if desired, by use of the supplementary references following the chapter.

Hydrostatics

The pressure distribution, p, in a motionless body of water is given by

Using an ( x, y, z) coordinate system, with x and y horizontal and z vertically upward, one obtains

in which ? is the density (or mass density) of water (1.94 slugs/ft 3 or 1000 kg/m 3), g is the acceleration of gravity, and ? is the unit weight (or specific weight or weight density) for water (62.4 lb/ft 3 or 9800 N/m 3). The pressure in the horizontal ( x, y) plane is uniform, that is, constant. Integration of Eq. (6.2) between points 1 and 2 yields

Normally one can use either gage or absolute pressures in a problem so long as they are not mixed. Gage pressure registers zero at standard conditions (temperature = 273 K = O C; pressure = 1 atm...

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