Water is flowing through a pipe, having inlet inside diameter of 80 mm at 8m/sec. Calculate the velocity at exit if inside diameter is reduced to 30 mm.
Water is flowing through a pipe, having inlet inside diameter of 80 mm at 8 m/sec. Calculate the velocity at exit if inside diameter is reduced to 30 mm.
From continuity equation, we know that \[{A_1}{V_1} = {A_2}{V_2}\] where 1 , 2 represents inlet and exit conditions\[{A_1} = \pi {\left( {\frac{{80}}{2}} \right)^2}\]\[{V_1} = 8\,m/s\]\[{A_2} = \pi {\left( {\frac{{30}}{2}} \right)^2}\]\[{V_2} = \,\,?\]\[ \Rightarrow \pi {\left( {\frac{{80}}{2}} \right)^2} \times 8 = \pi {\left( {\frac{{30}}{2}} \right)^2} \times {V_2}\]\[ \Rightarrow {V_2} = \frac{{80 \times 80 \times 8}}{{30 \times 30}}\]\[ = 56.88\,m/s.\]Therefore water is flowing at exit of pipe at 56.88 m/s.
