Sydney Shaffer

2023-03-07

The pressure drop across an orifice is measured for a particular flow rate. If the flow rate is doubled, keeping all other parameters constant, the effect on the pressure drop across the orifice is.
It will remain same
It will also be doubled
It will be halved
It will increases by four times

$Q\propto \sqrt{\Delta P}\phantom{\rule{0ex}{0ex}}\frac{{Q}_{1}}{{Q}_{2}}=\sqrt{\frac{\Delta {P}_{1}}{\Delta {P}_{2}}}\phantom{\rule{0ex}{0ex}}\left(\frac{{Q}_{1}}{{Q}_{2}}{\right)}^{2}=\frac{\Delta {P}_{1}}{\Delta {P}_{2}}\phantom{\rule{0ex}{0ex}}\Delta {P}_{2}=\Delta {P}_{1}\left(\frac{{Q}_{1}}{{Q}_{2}}{\right)}^{2}\phantom{\rule{0ex}{0ex}}\because {Q}_{2}=2{Q}_{1}\phantom{\rule{0ex}{0ex}}\Delta {P}_{2}=\Delta {P}_{1}\left(\frac{2{Q}_{1}}{{Q}_{1}}{\right)}^{2}\phantom{\rule{0ex}{0ex}}\Delta {P}_{2}=4\Delta {P}_{1}$
So answer is it will increases by four times.

Do you have a similar question?