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7. A volume V...

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7. A volume V of a viscous liquid flows per unit minute along a pipe of diameter 'd' &length 'l' connected across a pressure head Δ P.Instead this pipe a set of 4 pipes each d/2 diameter &length 2l is connected to same pressure head Δ P.Now the volume of liquid flowing is

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V

of viscous liquid flows per unit time due to a pressure head

Δ P

along a pipe of diameter

D

L

. Instead of this pipe a set of

4

pipes each of diameter

\frac{D}{2}

2 L

is connected to the same pressure head

Δ P

. Now, the volume of the liquid flowing per unit time is:

{16 c m}^{3}

volume of water flows per second through a capillary tube of radius r cm and of length 1 cm, when connected to a pressure head of h cm of water. If a tube of the same length and radius r/2 is connected to the same pressure head, find the mass of water flowing per minute through the tube

Q. What gauge pressure must the pump provide to achieve the same volume flow rate for a pipe with a diameter of

4.0 c m

Q. Two pipes of same length and radii in the ratio

1 : 2

are connected in series. A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination in

1 m

of water, the pressure difference across the first pipe is

Q. Water is flowing through a horizontal pipe of constant diameter and the flow is laminar. If the diameter of the pipe is increased by 50% keeping the volume flow rate constant, then the pressure drop in the pipe due to friction will decrease by

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