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Department of Mechanical Engineering
Jahangirabad Institute of Technology, Barabanki-225203
Course- B. Tech
Branch- Mechanical Engineering
Subject- Fluid Mechanics
Subject Code-NCE-301
Author
Mr Md Ateeque Khan
Asst. Professor
MED
6/10/2017 MAK(ME) 1
Equation of motion for laminar flow
through pipes
• In fully developed laminar flow, each fluid particle moves at a constant axial
velocity along a streamline and the velocity profile u(r) remains unchanged in
the flow direction. There is no motion in the radial direction, and thus the
velocity component in the direction normal to flow is every-where zero. There
is no acceleration since the flow is steady and fully developed.
6/10/2017 MAK(ME) 2
Stoke’s Law
6/10/2017 MAK(ME) 3
Transition flow from Laminar toTubulent
6/10/2017 MAK(ME) 4
Turbulent Flow
Turbulent flow is a type of fluid (gas or liquid) flow in which the fluid undergoes
irregular fluctuations, or mixing, in contrast to laminar flow, in which the fluid
moves in smooth paths or layers. In turbulent flow the speed of the fluid at a point
is continuously undergoing changes in both magnitude and direction
6/10/2017 MAK(ME) 5
Types ofTurbulent Flow
• Wall turbulent shear flow:
a) External Wall turbulent shear flow
b) InternalWall turbulent shear flow
• Free turbulent shear flow
• IsotropicTurbulence
• An-isotropicTurbulence
• Non-Homogeneous turbulence
6/10/2017 MAK(ME) 6
EddyViscosity
• The eddy viscosity hypothesis assumes that the Reynolds stresses can be related
to the mean velocity gradients and eddy (turbulent) viscosity by the gradient
diffusion hypothesis, in a manner analogous to the relationship between the stress
and strain tensors in laminar Newtonian flow.
Where is eddy viscosity.
dy
ud
dy
du
_
 

6/10/2017 MAK(ME) 7
Turbulent flow in smooth and rough pipe
6/10/2017 MAK(ME) 8
Minor Losses in Pipes
6/10/2017 MAK(ME) 9
Minor Losses Con…..
6/10/2017 MAK(ME) 10
Pipe in series
6/10/2017 MAK(ME) 11
Pipe in Parallel
6/10/2017 MAK(ME) 12
SIPHON
6/10/2017 MAK(ME) 13
Water Hammer
• Water hammer is a pressure surge or wave caused when a fluid (usually a liquid
but sometimes also a gas) in motion is forced to stop or change direction
suddenly (momentum change).
6/10/2017 MAK(ME) 14

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Fm ppt unit 4

  • 1. Department of Mechanical Engineering Jahangirabad Institute of Technology, Barabanki-225203 Course- B. Tech Branch- Mechanical Engineering Subject- Fluid Mechanics Subject Code-NCE-301 Author Mr Md Ateeque Khan Asst. Professor MED 6/10/2017 MAK(ME) 1
  • 2. Equation of motion for laminar flow through pipes • In fully developed laminar flow, each fluid particle moves at a constant axial velocity along a streamline and the velocity profile u(r) remains unchanged in the flow direction. There is no motion in the radial direction, and thus the velocity component in the direction normal to flow is every-where zero. There is no acceleration since the flow is steady and fully developed. 6/10/2017 MAK(ME) 2
  • 4. Transition flow from Laminar toTubulent 6/10/2017 MAK(ME) 4
  • 5. Turbulent Flow Turbulent flow is a type of fluid (gas or liquid) flow in which the fluid undergoes irregular fluctuations, or mixing, in contrast to laminar flow, in which the fluid moves in smooth paths or layers. In turbulent flow the speed of the fluid at a point is continuously undergoing changes in both magnitude and direction 6/10/2017 MAK(ME) 5
  • 6. Types ofTurbulent Flow • Wall turbulent shear flow: a) External Wall turbulent shear flow b) InternalWall turbulent shear flow • Free turbulent shear flow • IsotropicTurbulence • An-isotropicTurbulence • Non-Homogeneous turbulence 6/10/2017 MAK(ME) 6
  • 7. EddyViscosity • The eddy viscosity hypothesis assumes that the Reynolds stresses can be related to the mean velocity gradients and eddy (turbulent) viscosity by the gradient diffusion hypothesis, in a manner analogous to the relationship between the stress and strain tensors in laminar Newtonian flow. Where is eddy viscosity. dy ud dy du _    6/10/2017 MAK(ME) 7
  • 8. Turbulent flow in smooth and rough pipe 6/10/2017 MAK(ME) 8
  • 9. Minor Losses in Pipes 6/10/2017 MAK(ME) 9
  • 14. Water Hammer • Water hammer is a pressure surge or wave caused when a fluid (usually a liquid but sometimes also a gas) in motion is forced to stop or change direction suddenly (momentum change). 6/10/2017 MAK(ME) 14