# Calculating velocity & pressure loss through a pipe with obstruction

1. Mar 14, 2013

### mevans92

1. The problem statement, all variables and given/known data

here the situation, i have a straight pipe with a spheroid-like shape placed in the middle which is supported by two supports. I would like to calculate the csa of the spheroid section using 50 iterations but i am finding it difficult to calculate.

the main goal is to calculate the velocity and pressure loss throughout the system of a pipe made from concrete with a roughness factor (e) equaling to 1.65. the entrance velocity is 8.39 m/s with a pressure of 174.981 kpa.

In the first section (I) i managed to obtain a velocity of 138 m/s, which sounds ridiculous using the spherical cap equation to obtain the radius at 50 iterations then using the continuity equation.

2. Relevant equations

the equations i have been using for section 2 are:
http://mathworld.wolfram.com/SphericalSegment.html - to try and determine the radius' at a

The continuity equation : V1A1=V2A2

3. The attempt at a solution

an attempt has been made using an excel spreadsheet but unfortunately i cant seem to upload it