Pressure drop along a tube of unkown length containing turbulent flow

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SUMMARY

The discussion focuses on calculating pressure at both ends of a pipe with turbulent flow, given viscosity, density, and a temperature difference of 45K. The Darcy-Weisbach equation is identified as a key tool for analyzing pipe flow. The fluid in question is oil, with constant density assumed, and mass flow rate provided. For more complex scenarios involving temperature gradients, the use of non-dimensionalized Navier-Stokes equations and FEMLAB software is recommended.

PREREQUISITES
  • Understanding of the Darcy-Weisbach equation for pipe flow analysis
  • Knowledge of turbulent flow characteristics and Reynolds number calculation
  • Familiarity with fluid properties, specifically viscosity and density
  • Basic principles of heat transfer and temperature gradients in fluids
NEXT STEPS
  • Study the application of the Darcy-Weisbach equation in various flow scenarios
  • Learn how to calculate Reynolds number from mass flow rate
  • Explore the use of FEMLAB for solving fluid dynamics problems involving temperature gradients
  • Investigate the effects of temperature on fluid viscosity and density
USEFUL FOR

Engineers, fluid dynamics researchers, and anyone involved in the analysis of turbulent flow in piping systems will benefit from this discussion.

scott_for_the_game
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How do u calc pressure at each end of pipe if u know its turbulent and u don't know the length.

Just got viscosity, density, temp diff at one end, D.

Cheers.
 
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hmm... Things I am thinking include:

what is your fluid?
How does it's density change with temperature?
what is your mass/volumetric flow rate?
Can you make any assumptions about either the inlet or outlet pressure?
How did you calculate your Re to determine turbulence without a velocity?
 
what is your fluid?
How does it's density change with temperature?
what is your mass/volumetric flow rate?
Can you make any assumptions about either the inlet or outlet pressure?
How did you calculate your Re to determine turbulence without a velocity?

the fluid is an oil.
density is assumed constant.
u've got mass flow rate.
Not sure about assumptions.
Calc Re from mass flow rate.
The only thing involving temp which i have no idea what its influence is.. is there's a difference in temp at one end of the pipe of like 45K.
u know viscosity is half the value at other end.

What formulas would i need to use and does it involve iterating.
And u want pressure gradient ratio of two ends.
 
I would use a non dimensionalized Navier Stokes to solve for this sort of thing, but with the case that you are speaking involving temperature gradients, I might suggest using Femlab to do this sort of thing.
 

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