Plane Potential Flows

Plane potential flows simplify fluid motion by assuming irrotational and incompressible flow, governed by a velocity potential function and a stream function to describe the flow field.

In uniform flow, fluid moves at a constant velocity in one direction, creating parallel and evenly spaced streamlines that are useful in estimating flow rates in straight channels.

Source and sink flows involve fluid moving radially outward from a point or converging inward, creating symmetric flow patterns. Groundwater seeping up from, or draining into, a well exemplifies these flows.

Vortex flow involves circular motion around a central point, where fluid rotates at varying speeds based on distance from the center. This type is relevant in designing spillways to manage water spiraling down drains.

Flow nets combine streamlines and equipotential lines, aiding in visualizing complex flow patterns, like seepage paths under dams. This helps prevent structural weakening due to water infiltration.

These potential flows are essential for designing structures that interact with fluid, such as dams, levees, and groundwater systems, by predicting flow patterns and managing water resources effectively.