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Streamline Flow

Water is flow...

Question

Water is flowing in streamline motion in the tube as shown in the figure. Pressure in the tube is

A

more at A than at B

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B

equal at A and at B

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C

lesser at A than at B

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D

Depends upon type of liquid used

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Solution

The correct option is A
more at A than at B

$P_{A} + \frac{1}{2} ρ V_{A}^{2} = P_{B} + \frac{1}{2} ρ V_{B}^{2} a n d A_{A} V_{A} = A_{B} V_{B} P_{A} = P_{B} = \frac{1}{2} ρ V_{B}^{2} [1 - {(\frac{A_{B}}{A_{A}})}^{2}] = + v e (∴ A_{B} < A_{A})$

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