Mechanics of Solids and Fluids


   
 
Critical Velocity
Critical velocity is the velocity of a liquid flow upto which its flow is streamlined and after which its flow becomes turbulent. The critical velocity depends on coefficient of viscosity 'h', density of the liquid 'r', and radius of the tube (r). Using the methods of dimensions, one can show that  where k is constant of proportionality
 
Reynolds Number (NR)
 
The Reynolds number is a pure number that determines the nature of flow through a pipe. The critical velocity 'VC' is given by
 
 
 
If the value of Reynolds Number NR lies between 0 to 2000, the flow of liquid is streamline or laminar (the layers of liquid glide or slip over one another like sheets or laminar). If the value of NR is greater than 3000, the flow is turbulent. For values inbetween, the flow is not steady and changes from one to another.
 
 
     
   
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