I'm currently writing a paper on designing a system which can detects if there's a leakage between two certain point of water pipe. I'm using MPX5100 differential pressure sensor as the measurement sensor. Here's a picture how's the sensor will be placed
Since I have not enough knowledge about fluids dynamic (and my background is Computer Engineering), I need to do a calculation first to prove that there's a pressure drop when a leak appeared at the water pipe
I've checked other questions such as these: How to calculate leakage flow in a horizontal pipe?How to calculate leakage flow in a horizontal pipe? and How to calculate pressure loss due to water leakage from a hole in a pressurized unitHow to calculate pressure loss due to water leakage from a hole in a pressurized unit. And they proved that it's a fact that there's a pressure drop when a leak appears in a water pipe
What law or theory that I should use to support my paper? Assuming :
- The flow is incompressible, and laminar
- The length of pipe to be used is fixed