material derivative meaning in Hindi

Examples

1. The expression on the left side is a material derivative.
2. By expanding the material derivative, the equations become:
3. Note that the Lagrangian rate of change is also known as the material derivative.
4. The portion of the material derivative represented by the spatial derivatives is called the convective derivative.
5. It turns out, however, that many physical concepts can be written concisely with the material derivative.
6. Where \ mathbf v is the velocity, V the volume, and the derivatives of and are material derivatives.
7. Mathematically, this constraint implies that the material derivative ( discussed below ) of the density must vanish to ensure incompressible flow.
8. When the flow is incompressible, does not change for any fluid particle, and its material derivative vanishes : 0 } }.
9. This equation expresses the material derivative of the field, that is, the derivative with respect to a coordinate system attached to the moving surface.
10. "' Objectivity rates "'are modified material derivatives that allows to have an "'objective "'time differentiation.