Flow velocity of the fluid in the pipeline
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It is known that the pressure difference across the pipe ends is 0.3 MPa, the pipe diameter is 40 mm, the pipe material is stainless steel, and the viscosity of the liquid is 100 mPas. Determine the flow velocity. How should such problems be calculated?
The pipe length is still missing, as well as any fittings in between, which are used to determine the equivalent length. Density and pipe roughness are still missing.
The pipe length is 5 meters, with 2 DN40 ball valves. The fluid density is 1.2 g/cm3, and the pipe roughness is 0.01–0.05
It’s impossible to calculate; even if you try, it’s pointless as it doesn’t provide any practical value and can’t be used to guide production. A flow meter needs to be installed
Based on the given data and the properties of the fluid in the pipe, the Hagen-Poiseuille law can be used to calculate the flow velocity. Specifically, we first need to calculate the resistance inside the pipe, namely: ΔP=4*viscosity*length/π*d^4, where ΔP is the pressure difference, viscosity is the viscosity of the liquid, length is the length of the pipe, and d is the inner diameter of the pipe ； Then, based on Hagen-Poiseuille’s law, we can calculate the flow velocity V: V=ΔP*π*d^4/8*viscosity*length. Therefore, under the given conditions, the flow velocity is: V=0.3*π*(40*10^(-3))^4/8*100*1=2.41m/s