Question
Download Solution PDFConsider full flow occurring through the circular water pipe system as shown in figure, Determine the velocity, V (in mss) in the branch pipe 'R'.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The continuity equation is a fundamental principle derived from the law of conservation of mass. It states that mass cannot be created or destroyed within a closed system, and for incompressible fluids, the volume flow rate remains constant throughout a streamline.
Calculation:
V1 = 7 m/s; D1 = 4 m
V2 = 5 m/s; D2 = 4 m
V3 = ? m/s; D3 = 2 m
Q1 = Q2 + Q3
A1V1 = A2V2 + A3V3
\(0.785\times4^2\times7=0.785\times4^2\times5+0.785\times2^2\times V_3\)
\(112=80+4V_3\)
V3 = 8 m/s
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