Pressure Relations in Pipe Flow of Viscous Fluid

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SUMMARY

In pipe flow of a viscous fluid, friction and minor losses, such as those from bends and valves, lead to a reduction in total pressure, which is dissipated as heat. When dynamic pressure decreases due to reduced flow velocity, static pressure increases, but the total pressure remains constant. The heat generated from these losses is partially conducted away by the pipe and partially increases the fluid temperature. For a hose with an inner diameter of 8mm and an air pressure of 0.5 kg/cm², the flow rate can be calculated using the appropriate fluid dynamics formulas.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of pressure relationships in viscous flow
  • Familiarity with heat transfer concepts in fluids
  • Ability to apply Bernoulli's equation and flow rate calculations
NEXT STEPS
  • Study the Darcy-Weisbach equation for calculating head loss due to friction
  • Learn about minor loss coefficients for various pipe fittings
  • Explore the effects of temperature changes on fluid viscosity
  • Investigate flow rate calculations using the Hagen-Poiseuille equation
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in piping system design and analysis will benefit from this discussion.

redargon
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In pipe flow of a viscous fluid, what happens to the head lost due to friction and "minor losses" (pipe bends, valves, etc).?I mean, if you decrease the dynamic pressure by reducing flow velocity, then the static pressure increases. If the dynamic pressure increases then the static pressure decreases, but the total pressure is always constant. Do losses reduce the total pressure?
 
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Yes, losses reduce the total pressure and are dissipated as heat.
 
So would the heat be dissipated into the fluid and into the pipe. ie. would the fluid temperature increase if there were fricitonal and minor losses (which i assume are frictional in nature too)?
 
Yes, fluid heats up as. A part of the heat is conducted away by the pipe & rest heats up the fluid to a higher temperature.
 
Excellent, thanks for your replies
 
Hi All
Hose ID 8mm, air pressure 0.5 kg/cm2, what will be the flowrate.
Please describe with formula.
 

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