Abstract
In this paper, the author has presented the fundamental relations between stream function or current function, and velocity potential or velocity function, φ which are ∂φ/∂x= ∂/∂y and ∂φ/∂y= – ∂/∂x where x,y,φ(x_(, ) y), (x_(, ) y) are all real in two-dimensional fluid motions using real variables only whereas these relations had been established by using complex variables by Cauchy – Riemann which are known as Cauchy – Riemann equations in fluid dynamics.
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