Two identical capillaries of length 'L' and radius 'r' are connected in parallel. If the pressure difference across each capillary is 'ΔP', and the viscosity of the liquid is 'η', the total volume flow rate through the combination is:
Related Questions
A viscous liquid flows through a horizontal pipe of varying cross-section. At point A, the radius is 'r' and the velocity is 'v'. At point B, the radius is 'r/2'. Ignoring any energy losses due to viscosity, what is the pressure difference between points A and B?
A water tank, open to the atmosphere, has a leak in it, in the form of a circular hole, located at a height h below the open surface of water. The velocity of the water coming out of the hole is
Poiseuille's equation assumes laminar flow. Which of the following best describes laminar flow?
Fluid flows in a chaotic and turbulent manner.
Fluid flows in smooth, parallel layers.
Fluid velocity is constant across the tube's cross-section.
Fluid pressure is constant along the length of the tube.
Which of the following factors does NOT directly affect the flow rate of a fluid according to Poiseuille's equation?
Pressure difference across the tube
Radius of the tube
Viscosity of the fluid
Fluid Density
A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth of 9y from the top. When the tank is completely filled with water quantities of water flowing out per second from both the holes is the same . Then R is equal to
Poiseuille's equation is most accurate for describing fluid flow in which scenario?
Airflow through the trachea
Water flowing down a river
Blood flow through a capillary
Ocean currents
A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth of 9y from the top. When the tank is completely filled with water quantities of water flowing out per second from both the holes is the same . Then R is equal to
Two identical capillaries of length 'L' and radius 'r' are connected in parallel. If the pressure difference across each capillary is 'ΔP', and the viscosity of the liquid is 'η', the total volume flow rate through the combination is:
The radius of a blood vessel is doubled. Assuming all other factors remain constant, according to Poiseuille's equation, the rate of blood flow through the vessel will become:
2 times
4 times
8 times
16 times
Two capillaries of same length and radii in the ratio are connected in series. A liquid flow through Them in streamlined condition. If the pressure across the two extreme ends of the combination is of water, the pressure difference across first capillary is