Air flows through a pipe at a rate of 170 L/s. The pipe consists of two sections of diameters 18 cm and 10 cm with a smooth reducing section that connects them. The pressure difference between the two pipe sections is measured by a water manometer. Neglecting frictional effects, determine the differential height of water between the two pipe sections. Take the air density to be 1.20 kg/m3.
Solution to 98P
Step 1 of 3
We need to find the differential height of water between the pipe sections if the flow rate of air through the pipe is .
We will use Bernoulli’s principle to compute the height which will be used to find the differential height.
Bernoulli’s equation is given as,
=acceleration due to gravity.
The heights of both the points given in the diagram is same thus
Differential height of water manometer is
Thus the pressure is given as