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Fluid Mechanics

 COMPRESSIBLE AND NON COMPRESSIBLE FLUIDS, SURFACE TENSION AND CAPILLARITY

Compressible and Non Compressible Fluids
1.Compressible fluids:  The fluids which undergoes a change in volume or density when subjected to external forces.
2.Incompressible fluids: The fluid which does not show a change in volume or density when subjected to external forces.
Compressibility
It is the property of the liquid or fluid due to which there will be a change in volume/density when the fluid is subjected to an external force and is represented by Bulk Modulus of Elasticity (k). 
Compressibility is the reciprocal of Bulk Modulus of Elasticity.



Ideal Fluids are incompressible.

Real Fluids are compressible.


 Numericals

Q.1 Change in pressure for a liquid is 2 MN/m2. The volumetric strain induced in the liquid was 0.05. Determine the bulk modulus of elasticity for the liquid.





=4x10^7 N/m2

Q.2 A cylinder having 10 litre volume is completely filled with oil. When a pressure of 9.2 MN/m2 is applied the volume decreases by 500 ml. Find the bulk modulus of oil.

Pressure (P) = 9.2 MN/m2 = 9.2 x 106 N/m2

Change in volume = ∆v = 500 ml = 0.5 L

Original Volume (V)=10 L



  

                                                                                                                                                                                                                                                                                                                                                                                                                               


                                                                                                                                                                                                                             




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