In a planar incompressible flow, a line source injects volume flux per unit length perpendicular to the plane. Its radial velocity is , since integrating the outward velocity around a circle gives . Its complex potential of a two-dimensional potential flow is and its complex velocity is . Here means outward flow; a line sink has negative . Away from , this is an irrotational flow as well as an incompressible flow.
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A **line source** is a concept used in various fields, including physics, engineering, and telecommunications. It generally refers to a continuous source of energy, signal, or mass that is distributed along a line rather than being concentrated at a single point. Here are some contexts in which the term "line source" may be applied: 1. **Acoustics and Sound Engineering**: In acoustics, a line source refers to a sound source that emits sound uniformly over a linear distance.