Question
Download Solution PDFIn an orifice the coefficient of contraction is defined as the ratio of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Coefficient of contraction (Cc)
The coefficient of contraction (Cc) is defined as the ratio of the area of the cross-section of vena contracta to the area of cross-section of the orifice.
\(\rm Coefficient ~of~ contraction = C_c=\frac {A_c}{A_0}\)
where Ac = area of jet at vena-contracta, A0 = orifice area
Additional Information
Coefficient of velocity (CV)
Coefficient of velocity at vena contracta is defined as,
\(\rm Coeffcient~of~velocity\left( {{C_v}} \right) = \frac{{Actual~velocity~at~vena~contracta~\left( {{V_{act}}} \right)}}{{Theoritical~velocity~at~vena~contracta~\left( {{V_{th}}} \right)}}\)
Due to losses, Actual velocity at vena contracta < Theoretical velocity at vena contract, Therefore, Cv < 1
Coefficient of discharge (Cd)
The coefficient of discharge (Cd) is given by:
\(\rm {C_d} = {C_C} \times {C_v}\)
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