Here is a simple streamline equation example. Its more calculus than anything.
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Streamline Equation: Example 1 [Fluid Mechanics #6]
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StreamlineEquationExamplefluidfluidsmechanicstaticstaticsdynamicdynamicsfundamentalflowfluxmassdensityvelocityaccelerationspecificweightgravitymultivariablecalculusderivativecontinuumpositioninitialcoordinatecoordinatessteadyunsteadyirrotationalpathstreakstreamlineshearshearlessidealgaspressuredropwidthreactionnormaltangentdistributionrateofchangecrossdotproductuniteulerbernoulliequationtransporttheoremfield