Pressure & Velicity Relation in Fluids/gases

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    Pressure Relation
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SUMMARY

The relationship between pressure and velocity in fluids is governed by Bernoulli's theorem, which states that an increase in the velocity of a fluid results in a decrease in pressure, and vice versa. Specifically, for windward pressures, the increase is directly proportional to the fluid's density and the square of the mean velocity. Conversely, in parallel flows, the decrease in pressure is also proportional to the density and the square of the velocity. Accurate equations require additional factors such as angle of incidence, frictional forces, and turbulence.

PREREQUISITES
  • Understanding of Bernoulli's theorem
  • Knowledge of fluid density and its impact on pressure
  • Familiarity with concepts of velocity in fluid dynamics
  • Awareness of factors affecting fluid flow, such as turbulence and friction
NEXT STEPS
  • Study the derivation and applications of Bernoulli's equation
  • Explore the effects of turbulence on fluid flow and pressure
  • Learn about the impact of angle of incidence on fluid dynamics
  • Investigate the relationship between fluid density and flow characteristics
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Students and professionals in fluid dynamics, engineers working with fluid systems, and anyone interested in the principles governing pressure and velocity in gases and liquids.

allym.iftikha
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Can somebody simplify me the relation of Pressure and Velocity ... Bernoullis theorem is Ok ... But Please simple and brief ... Like Is there any equation directly saying that P in inverse of Velocity ??
 
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allym.iftikha said:
Can somebody simplify me the relation of Pressure and Velocity ... Bernoullis theorem is Ok ... But Please simple and brief ... Like Is there any equation directly saying that P in inverse of Velocity ??

For windward pressures, the increase is directly proportional to the density of the fluid and the square of the mean velocity. For parallel flows, the decrease in pressure is also directly proportional to the density and the square of the velocity. To convert proportional signs into equal signs, you need a lot more information; angle of incidence, frictional forces, turbulence, permeability of the surface to the fluid flow (sieves, gauze curtains, ship's sails, etc.) and so on.

I don't think simple and brief come into it, but I am willing to defer to those with more expertise.
 

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