What is Divergence?
Divergence, in vector fields, tells us about the behavior of the field concerning or moving away from a specific point. Divergence of a vector field in either two-dimensional (R2) or three-dimensional (R3) space at a given point P gauges how much the field is “outflowing” at that point. When represents the velocity of a fluid, its divergence at point P indicates the net rate of change, over time, of the fluid amount moving away from P (the tendency of the fluid to flow outward from P. Specifically, if the volume of fluid entering P equals the volume flowing out, the divergence at P is zero.
Divergence and Curl
Divergence and Curl are important concepts of Mathematics applied to vector fields. Divergence describes how a field behaves concerning or moving away from a point, while curl measures the rotational aspect of the field around a specific point. Divergence operators give scalar results whereas Curl operators give vector results.
In this article, we will learn about the divergence definition, curl definition, divergence of the vector field, curl of a vector field, and others in detail.
Table of Content
- What is Divergence?
- What is Curl?
- Divergence of Vector Field
- Curl of a Vector Field
- Divergence of Curl
- Equations of Divergence and Curl
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