Finding the pressure in a pipe?

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To find the pressure in the Alaskan pipeline where the radius changes from 60 cm to 30 cm, the initial pressure is given as 190 kPa, and the oil density is 800 kg/m^3. The relevant equation involves calculating pressure changes based on flow rates and pipe radius. The user proposes an equation that incorporates these variables but seeks confirmation on its correctness and unit consistency. The discussion emphasizes the importance of ensuring the derived equation yields units in kPa. Overall, the focus is on verifying the mathematical approach to determine pressure in varying pipe diameters.
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Homework Statement


The 810 mile long alaskan pipeline has a capacity of 2.48e5 m^3/day of oil per day. Along most the pipeline the radius is 60cm. Find the pressure at a point where the pipe has a 30cm radius. Take the pressure in the section with radius 60cm to be 190kPa and the density of oil to be 800 kg/m^3. Assume laminar nonviscous flow. Answer in units kPa


Homework Equations


q= delta v/ delta t


The Attempt at a Solution


My final equation is Pi + [rho(q^2)]/2pi^2 * (1/Ri^4 * R^4).
Is that correct?
 
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A quick way that you can check your equation is with the units.

Does you equation produce a unit in kPa?

Thanks
Matt
 

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