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Complex Analysis Textbook using Fluid Dynamics

This is a literature request. I remember being told of a Complex Analysis textbook that teaches the Cauchy-Riemann equations and Potential Theory using Fluid Dynamics. Does anyone know who the ...
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Boundary layer theory in fluids learning resources

I'm trying to understand boundary layer theory in fluids. All I've found are dimensional arguments, order of magnitude arguments, etc... What I'm looking for is more mathematically sound arguments. ...