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Three examples of vector fields. From left to right: a field with a source, a field with a sink, a field without either. In the physical sciences, engineering and mathematics, sources and sinks is an analogy used to describe properties of vector fields.
Source–sink dynamics is a theoretical model used by ecologists to describe how variation in habitat quality may affect the population growth or decline of organisms.. Since quality is likely to vary among patches of habitat, it is important to consider how a low quality patch might affect a population.
A current source is the dual of a voltage source. The term current sink is sometimes used for sources fed from a negative voltage supply. Figure 1 shows the schematic symbol for an ideal current source driving a resistive load. There are two types. An independent current source (or sink) delivers a constant current.
The streamlines are radial, directed inwards to the line source. As we get closer to the sink, area of flow decreases. In order to satisfy the continuity equation, the streamlines get bunched closer and the velocity increases as we get closer to the source. As with source flow, the velocity at all points equidistant from the sink is equal.
A line source or sink of strength (> for source and < for sink) is given by the potential w = Q 2 π ln z {\displaystyle w={\frac {Q}{2\pi }}\ln z} where Q {\displaystyle Q} in fact is the volume flux per unit length across a surface enclosing the source or sink.
Since it can act as an inertial source and sink of heat, it is often also referred to as a heat reservoir or heat bath. Lakes, oceans and rivers often serve as thermal reservoirs in geophysical processes, such as the weather. In atmospheric science, large air masses in the atmosphere often function as thermal reservoirs.
More simply, an augmenting path is an available flow path from the source to the sink. A network is at maximum flow if and only if there is no augmenting path in the residual network G f. The bottleneck is the minimum residual capacity of all the edges in a given augmenting path. [2] See example explained in the "Example" section of this article.
This problem can be transformed to a maximum flow problem by constructing a network = (,) from , with and being the source and the sink of respectively, and assigning each edge a capacity of . In this network, the maximum flow is k {\displaystyle k} iff there are k {\displaystyle k} edge-disjoint paths.