Calculating Oil Flow Rate in Cast Iron Pipe

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SUMMARY

The discussion focuses on calculating the flow rate of oil through a cast iron pipe with a diameter of 100mm and a length of 115m, under a head difference of 5m. The kinematic viscosity of the oil is given as 10^-6 m²/s. Participants emphasize the need to determine the dynamic viscosity (μ) of the oil, which requires knowledge of the oil's density, not provided in the problem statement. The equation hf = 32μLV / ρg(D^2) is central to the calculations, highlighting the relationship between kinematic and dynamic viscosity.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the equation hf = 32μLV / ρg(D^2)
  • Knowledge of kinematic and dynamic viscosity relationships
  • Basic skills in calculating flow rates and velocities
NEXT STEPS
  • Research the relationship between kinematic viscosity (ν) and dynamic viscosity (μ)
  • Learn how to calculate the density of various oils for viscosity determination
  • Explore the application of Bernoulli's equation in fluid flow problems
  • Study flow rate calculations in circular pipes using the Hagen-Poiseuille equation
USEFUL FOR

Students in engineering fields, particularly those studying fluid mechanics, as well as professionals involved in hydraulic systems and pipe flow analysis.

foo9008
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Homework Statement


calculate the flow rate at which oil (kinematic viscocity = (10^-6) (m^2) /s )
flow thru a cast iron pipe 100mm diameter and 115 m long under head difference of 5m

Homework Equations

The Attempt at a Solution


hf = 32μLV / ρg(D^2) how to get the value of μ( dynamic viscosity) ? we need density of oil to get the μ , am i right ? but , density of oil is not given , how to do this ? i plan to get the value of v ( velocity ) and then multiply v with area to get the flow rate
 
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You're only given a few values in the problem statement. Only one is related to the properties of the fluid involved. Did you investigate its definition and perhaps its relationship to the parameters you seek?
 
gneill said:
You're only given a few values in the problem statement. Only one is related to the properties of the fluid involved. Did you investigate its definition and perhaps its relationship to the parameters you seek?
yes , but i still gt stucked , can somehow guide me how to proceed with this question ?
 
foo9008 said:
yes , but i still gt stucked , can somehow guide me how to proceed with this question ?
I'm not an expert in this area. But let's see what we can do.

You presented a single equation in your problem statement: hf = 32μLV / ρg(D^2)

Can you define for me each of the variables in that equation?
What did you discover about the definition of kinematic viscosity?
 
foo9008 said:

Homework Statement


calculate the flow rate at which oil (kinematic viscocity = (10^-6) (m^2) /s )
flow thru a cast iron pipe 100mm diameter and 115 m long under head difference of 5m

Homework Equations

The Attempt at a Solution


hf = 32μLV / ρg(D^2) how to get the value of μ( dynamic viscosity) ? we need density of oil to get the μ , am i right ? but , density of oil is not given , how to do this ? i plan to get the value of v ( velocity ) and then multiply v with area to get the flow rate
What's the relationship between kinematic viscosity (##\nu##) and dynamic viscosity (##\mu##)?

It should be spelled out in your text. If it isn't, you can look it up:

https://en.wikipedia.org/wiki/Viscosity
 
SteamKing said:
What's the relationship between kinematic viscosity (##\nu##) and dynamic viscosity (##\mu##)?

It should be spelled out in your text. If it isn't, you can look it up:

https://en.wikipedia.org/wiki/Viscosity
I noted my mistake, thank you
 

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