Stream function for combined flow Calculator

The stream function ($\psi$) is a mathematical function used to describe the flow of an incompressible fluid in two-dimensional flow scenarios. For a combined flow, the stream function represents the superposition of two or more individual flows. The combined flow can be achieved by adding or subtracting the stream functions of the individual flows. 

The combined flow has two components:

1. Uniform flow :   ψ_uniform​=V∞​⋅r⋅sinθ
2. Vortex flow :       ψ_vortex​=−2πκ​⋅rsinθ​​ 

• V∞​ is the constant velocity of the uniform flow 
• $r$ is outer the radial distance from the origin
• $\theta$ is the angle 
• $\kappa$ is the circulation or strength of the vortex.