Question
Download Solution PDFAs shown in the diagram, brine of specific gravity draining from the bottom of the large tank through a 100 mm pipe, the drain pipe ends at a point 20m below the surface of the brine in the tank. Calculate the velocity of flow along the streamline at the point of discharge from the pipe.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Bernoulli's theorem:
According to Bernoulli's theorem, the sum of pressure energy, kinetic energy, and potential energy per unit mass of an incompressible, non-viscous fluid in a streamlined flow remains constant. Bernoulli's equation is given below
\({p \over \ \rho g}+ {v^2 \over 2g}+z = constant\)
where p= pressure, v= velocity , z = datum, g= acceleration due to gravity, \(\rho\) = density
Atmospheric gauge pressure = 0
Calculation:
Given:
As section 1 and 2 is open to atmosphere, Hence P1 = P2 = 0, Z1 - Z2 = 20 m
Applying Bernoulli's equation at section 1 and 2 we get,
\(\frac{P_1}{\rho g}+\frac{V_1^2}{2g}+z_1=\frac{P_2}{\rho g}+\frac{V_2^2}{2g}+z_2\)
\(V_2=\sqrt{2g(Z_1-Z_2)}=\sqrt{2\times 9.81 \times 20}=19.81\) m/sec
Last updated on May 19, 2025
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