Flow through a semi cicular pipe

[biocoatings]

Hi:

I hope someone can advice me on this problem.

I am trying to calculate flow rate through a semi circular tube i.e one side is flat. There is a constant pressure applied. The fluid is laminar.I have calculated the flow rate in a circular tube as

Q = (Pi(P1 - P2) R^4)/8uL

where,
Q = volumetric flow rate
P1-P2 = Pressure
R = Radius
u = coeff. of viscosity
L = Length

Thanks!

 

[BigInch]

Use the hydraulic radius instead of the radius of the arc.

**********************
"Pumping systems account for nearly 20% of the world’s energy used by electric motors and 25% to 50% of the total electrical energy usage in certain industrial facilities." - DOE statistic (Note: Make that 99.99% for pipeline companies)

http://virtualpipeline.spaces.live.com/

 

[biocoatings]

Thanks for the advice but can you please elaborate as I am not from this field.

Thanks

 

[biocoatings]

Do you mean that I can use the formula for a circular pipe and then instead of normal radius use hydrualic radius.

Hydrualic Radius = (Area of semi circular cross section)/Perimeter

Please see if this is correct

Thanks

 

[BigInch]

Your formula may already have the semicircular duct included.

I'd do it like this,

http://web.cecs.pdx.edu/~gerry/class/ME322/notes/pdf/ME322_lect05slides.pdf

**********************
"Pumping systems account for nearly 20% of the world’s energy used by electric motors and 25% to 50% of the total electrical energy usage in certain industrial facilities." - DOE statistic (Note: Make that 99.99% for pipeline companies)

http://virtualpipeline.spaces.live.com/

 

[biocoatings]

Thanks Alot