Is Poiseuille Equation applicable for turbulent flow ? explain
Homework Answers
No, Poiseuille equation can't be applied directly for turbulent flow since Hagen Poiseuille’s equation can only be applied to fluids that are incompressible, Newtonian and laminar in flow. The equation does not hold close to the pipe entrance or developing flow region where flow is turbulent.
The equation fails in the limit of low viscosity, wide and/or short pipe. Low viscosity or a wide pipe may result in turbulent flow, making it necessary to use more complex models, such as Darcy-Weisbach equation.
HW 8 Poiseuille flow: Fully developed laminar pipe flow (in cylindrical coordinate) - The simplified z-momentum...
HW 8 Poiseuille flow: Fully developed laminar pipe flow (in cylindrical coordinate) - The simplified z-momentum equation - The boundary conditions = No slip at r=R The Navier-Stokes equation for 2D (x,y) incompressible flow DV P -Op+uv2V + pg dt - Assumptions: 1. 2. 3. 4. 5. 6. Finite velocity at r=0 - Final velocity solution of Poiseuille flow - The rz component of the NS equation (in cylindrical coordinate) - Volume flow rate (Q = ſ vedA)
For which case will the flow rate decrease for Poiseuille flow? a. The radius of the...
For which case will the flow rate decrease for Poiseuille flow? a. The radius of the tube increases b. The viscosity decreases c. The tube length decreases d. The pressure difference decreases
Blasius equation for turbulent flow f = 0.316Red-1/4 holds good only when the Reynolds number is...
Blasius equation for turbulent flow f = 0.316Red-1/4 holds good only when the Reynolds number is in the range ____________.
True/False Turbulent flow is the smooth flow of fluid through a pipe.
True/False Turbulent flow is the smooth flow of fluid through a pipe.
why does laminar flow have less pressure drop than turbulent flow
why does laminar flow have less pressure drop than turbulent flow
Which property is a characteristic of a turbulent flow? a. Layers flow without mixing b. A...
Which property is a characteristic of a turbulent flow? a. Layers flow without mixing b. A tapered velocity profile in a tube c. smooth flow d. Small eddies and mixing between layers
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional...
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V=0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional...
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V = 0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity 6) The boundary layer (BL) theory does...
( turbulent flow ) for 2-dimnensional incompressible steady flow the velocity gradient in angular direction is...
( turbulent flow ) for 2-dimnensional incompressible steady flow the velocity gradient in angular direction is given by ln(r) .find the velocity component in angular as well as in radial directions
what could cause turbulent air flow through the respiratory tract?
what could cause turbulent air flow through the respiratory tract?
HW 8 Poiseuille flow: Fully developed laminar pipe flow (in cylindrical coordinate) - The simplified z-momentum equation - The boundary conditions = No slip at r=R The Navier-Stokes equation for 2D (x,y) incompressible flow DV P -Op+uv2V + pg dt - Assumptions: 1. 2. 3. 4. 5. 6. Finite velocity at r=0 - Final velocity solution of Poiseuille flow - The rz component of the NS equation (in cylindrical coordinate) - Volume flow rate (Q = ſ vedA)
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V=0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V = 0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity 6) The boundary layer (BL) theory does...
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