A pipe contains a gradually tapering section in which its diameter decreases from 400mm and 250mm. The pipe contains an incompressible fluid or density 1000 kgm-3 and runs full. If the flow velocity is 2 ms-1 in the smaller diameter.
Determine the velocity in the larger diameter, the volume flow rate and the mass flow rate
Need help pointing in the right direction E.g. formulas and principles
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The fluid is incompressible, therefore the density is constant at 1000 kg/m3. Find the volume flow rate at the smaller diameter:
Q = V*A
Where A is the cross-sectional area of the small diameter.
If you multiply this by the density, you will have the mass flow rate. Both are constant along the length of the pipe.
For the velocity at the larger diameter, use the above equation with the known Q and the cross-sectional area, solve for the new V.