Fluid Mechanics and Machinery: Energy Losses and Calculations
Explore major and minor energy losses in fluid flow through pipes, including Darcy-Weishbach and Chezys formulas. Learn how to calculate discharge, head losses, and power requirements in various pipe situations.
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Presentation Transcript
FLUID MECHANICS &MACHINERY Department of Mechatronics 2ndGrade Chapter 5 Flow Through Pipes Topics: 1)Major energy losses Darcy Weishbach formula Chezys formula 2) Minor energy losses (more details in next slide slides) 1
Energy Losses Major energy losses (Due to friction) (i) Darcy-weishbach formula (ii) Chezys formula Minor energy losses This is due to Sudden expansion of pipe he=( v12 _V22 )/2g sudden contraction of pipe hc = v22 /2g (1/Cc 1) bend in pipe pipe fittings an obstruction in pipe 2
Major losses Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the two ends of a pipe 500 m apart is 4 m of water. Take the value of f=0.009 in in the formula hf = (4.f.L.V2)/dx2g hf - loss of head due to friction (4m) f co-efficient of friction (0.009) L length of pipe (500m) V mean velocity (?) 3
Once you substitute all values in the above equation find the unknown ie mean velocity V= 0.934 m/s We know that, Q = _______? Q= 0.0293 m3/sec = ____?___ litres/sec 4
An oil of specific gravity 0.9 and viscosity 0.06 poise is flowing through a pipe of diameter 200 mm at the rate of 60 litre / sec. Find the head lost due to friction for a 500 m length of pipe. Find the power required to maintain this flow. hf = (4.f.L.V2)/dx2g Power = g.Q. hf __________ 1000 5
Minor losses Find the loss of head when a pipe of diameter 200 mm is suddenly enlarged to a diameter of 400 mm. The rate of flow of water through the pipe is 250 litres/sec. 7
A 150 mm diameter pipe reduces in abruptly to 100 mm diameter. If the pipe carries water at 30 litres per second, calculate the pressure loss across the contraction. Take the co-efficient of contraction as 0.6 Solution Find V1 & V2 using Q Apply BERNOULLIS EQUATION AND FIND THE UNKNOWN 8
