Friction Head loss

Friction Head Loss estimation using Hagen-Poiseuille and Darcy-Weisbach equation..

Friction Head Loss can be estimate using this two formula:


  • Hagen-Poiseuille formula:for Laminar Flow...

 -In fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille                   lawPoiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in a  fluid flowing through a long cylindrical pipe.

       
-The assumptions of the equation are that the fluid is incompressible and Newtonian; the flow is             laminar through a pipe of constant circular cross-section that is substantially longer than its diameter; and there is no acceleration of fluid in the pipe. For velocities and pipe diameters above a threshold, actual fluid flow is not laminar but turbulent, leading to larger pressure drops than calculated by the Hagen–Poiseuille equation.



         


Formula Darcy-Weisbach : for Turbulent Flow....

-In fluid dynamics, the Darcy–Weisbach equation is a phenomenological equation, which relates the head loss — or pressure loss — due to friction along a given length of pipe to the average velocity of the fluid flow.
-The Darcy–Weisbach equation contains a dimensionless friction factor, known as the Darcy friction factor.



In Laminar Flow: 
-relative roughness is not significant friction but depend on viscosity.
-friction factor can be calculated using formula above.

In Turbulent Flow:
-relative roughness contribute a significant part besides Reynolds No.
-can be calculated using:
  
 SMOOTH PIPES FLOW...

 (I) Colebrook
 


(II) Nikuradse and Prandtl



 (III) Blasius


-for 3000<R<10x5  

 FULLY ROUGH PIPES FLOW...

(I) Karman 
NEITHER SMOOTH NOR FULLY ROUGH FLOW...

(I)Colebrook


(II) Haaland



 

Pipes Roughness....































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