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Scalar and Vector Fields
Scalar: Scalar is a quantity which can be expressed by a single number representing its
magnitude.
Example: mass, density and temperature.
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Scalar Field
If at every point in a region, a scalar function has a defined value, the region is called a
scalar field.
Example: Temperature distribution in a rod. |
Vector: Vector is a quantity which is specified by both magnitude and direction.
Example: Force, Velocity and Displacement.
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Vector Field
If at every point in a region, a vector function has a defined value, the region is called a
vector field.
Example: velocity field of a flowing fluid . |
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Flow Field
The region in which the flow parameters i.e. velocity, pressure etc. are defined at each and every point at any instant of time is called a
flow field.
Thus a flow field would be specified by the velocities at different points in the region at different times. |
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