Plumbing Africa February 2019 | Page 60

58 TECHNICAL Basic theory of fluid mechanics for plumbing (Part 4) In Part 3 of this series, we discussed dynamic pressure (flow pressure) and friction loss (hydraulic gradient) in plumbing systems. We now consider the speed (water velocity) at which water will probably flow through a piping system or pipe segment and the resultant effect thereof. By Chris Kyle About the author Water velocity = distance/time Have you ever watched a leaf being swept along the current of a river and how it speeds up when it passes through a narrowing of the stream and then moves more slowly at a point where the stream widens out again? (See Figure 1.) Why so? Because of the ‘equation of mass flow continuity in incompressible fluids’, meaning that to get the same number of water molecules to pass through the narrowing in the stream, the speed of each molecule must increase to allow the same mass of water made up of the molecules to pass through the narrowing in the stream (Bernoulli’s principle). Chris Kyle is a qualified commercial pilot and flying instructor, accredited CETA trainer and assessor, CPD course writer and presenter to the architectural fraternity, and professional plumbing industry licensed plumber. Chris has plotted his course in the building industry from his early days as national specifications manager for Cobra Watertech, to where he is today as the general manager of Calafrica. Water velocity is the speed at which water passes through a tube and is usually expressed in metres per second; that is, the time that it takes one molecule of water to travel one metre of distance. Figure 1. Thus, in a piping system, the water velocity at a given flow rate will be higher in a smaller pipe and lower in a larger pipe. (See Figure 2.) Water velocity is dependent on system pressure, flow rate, and the diameter of the pipe. Why is it important for water velocity to be kept at acceptable levels in plumbing systems? Damage and high maintenance Water can be considered to be an incompressible fluid (only slightly compressible at extremely high pressure ranges that fall way above those possible in plumbing systems). So, water in a pipe can be likened to a steel rod within a pipe which, once moving, has the potential to do damage to piping systems and fittings. Much like travelling in a motor car, if you hit a brick wall at 2km/h, you will only slightly damage your car, but if you do the same at 120km/h, it’s game over and everything is destroyed. The higher the velocity, the higher the momentum of the water, which means that the potential for damage to the plumbing system is increased when taps are opened and closed and directional changes are made at tees, bends, and the like — Newton’s laws. Noise As we have already learnt, there is friction between the water molecules and the pipe walls, and the higher the water velocity, the higher the friction. More friction, more noise transmitted by the flow of the water through the pipes, just like a car on the highway: low speed, low tyre and wind noise; high speed, high tyre and wind noise. Figure 2. February 2019 Volume 24 I Number 12 Remember, friction increases by the square of the velocity — noise will increase by roughly the same proportion. www.plumbingafrica.co.za