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- Mathematical understanding of the Coanda Effect

**Summary:**Mathematical understanding of the Coanda Effect

**Summary:**Mathematical understanding of the Coanda Effect

Hi,

I am trying to understand how to understand the Coanda Effect in terms of mathematics. I am a high school student and have a basic understanding of calculus, and I do not fully understand the Navier-Stokes equations. I have a project where I have to investigate the parameters that affect whether a candle will be blown out if there is a bottle in front of the incoming airflow.

What are the relevant relationships for airflow around a convex shape (Coanda Effect). E.g. how is air-speed dependent on the radius of the shape, and how would you go about finding the minimum velocity for the Coanda Effect to be observed or for air to reach the other side (mathematical derivations).

Am I able to just equate forces to derive equations for velocity/pressure functions, and if so how would I go about doing that? E.g. centrifugal force = (some kind of force related to radial pressure).

Also, are there are any good resources for understanding fluid dynamics. I would really like to get to the stage where I can derive the navier-stokes equations so that I can use them for my project in MATLAB. Any good resources to help me understand the maths? Thank you.