Question

Water is flowing at a rate of 0.15 ft3/s in a 6 inch diameter pipe. The water then goes through a sudden contraction to a 2 inch diameter pipe. What is the head loss through this contraction

Answer 1

Answer:

Head loss=0.00366 ft

Explanation:

Given :Water flow rate Q=0.15 $\frac{ft^{3}}{sec}$

         $D_{1}$= 6 inch=0.5 ft

        $D_{2}$=2 inch=0.1667 ft

As we know that Q=AV

$A_{1}\times V_{1}=A_{2}\times V_{2}$

So $V_{2}=\frac{Q}{A_2}$

     $V_{2}=\dfrac{.015}{\frac{3.14}{4}\times 0.1667^{2}}$

     $V_{2$=0.687 ft/sec

We know that Head loss due to sudden contraction

           $h_{l}=K\frac{V_{2}^2}{2g}$

If nothing is given then take K=0.5

So head loss$h_{l}=(0.5)\frac{{0.687}^2}{2\times 32.18}$

                                    =0.00366 ft

So head loss=0.00366 ft