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The continuity equation for compressible fluids states that the rate of change of density (ρ) in a fluid is equal to -∇⋅(ρu), where ρ is density, u is velocity, and ∇⋅ is the divergence operator. This equation is derived from the conservation of mass principle in fluid dynamics.

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Q: What is continuity equation for compressible fluids?
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What is the difference between compressible and in-compressible fluids giving examples of the fluids found in human body?

compressible fluid changes its volume when external pressure is applied and in-compressible fluid does not change its volume due to external pressure


How are the continuity equation and bernoulli's equation related?

The continuity equation states that the mass flow rate is constant in an incompressible fluid, while Bernoulli's equation relates the pressure, velocity, and elevation of a fluid in steady flow. Together, they help describe the relationship between fluid velocity, pressure, and flow rate in a system. The continuity equation can be used to derive Bernoulli's equation for incompressible fluids.


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K. Stewartson has written: 'The theory of laminar boundary layers in compressible fluids' 'The boundary layer'


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