A circular reentrant orifice (also called Bordas

Chapter 14, Problem 14.82

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A circular reentrant orifice (also called Borda’s mouthpiece) of diameter D is placed at a depth h below the surface of a tank. Knowing that the speed of the issuing stream is \(v=1\ \overline{2gh}\) and assuming that the speed of approach \(v_{1}\) is zero, show that the diameter of the stream is \(d=D/1\overline{\ 2}\). (Hint: Consider the section of water indicated, and note that P is equal to the pressure at a depth h multiplied by the area of the orifice.)

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