Home | | Mechanics of Fluids | Fluid Kinematics And Dynamics: Velocity, Acceleration

# Fluid Kinematics And Dynamics: Velocity, Acceleration

Velocity of a fluid along any direction can be defined as the rate of change of displacement of the fluid along that direction. Acceleration of a fluid element along any direction can be defined as the rate of change of velocity of the fluid along that direction.

Velocity

Velocity of a fluid along any direction can be defined as the rate of change of displacement of the fluid along that direction.

u = dx / dt

Where dx is the distance traveled by the fluid in time dt.

Velocity of a fluid element is a vector, which is a function of space and time.

Let V be the resultant velocity of a fluid along any direction and u, v and w be the velocity components in x, y and z directions respectively.

Mathematically the velocity components can be written as

u = f ( x, y, z, t )

v = f ( x, y, z, t )

w = f ( x, y, z, t ) Acceleration

Acceleration of a fluid element along any direction can be defined as the rate of change of velocity of the fluid along that direction.

If ax , ay and az are the components of acceleration along x, y and z directions respectively, they can be mathematically written as

ax  = du/ dt.

But u = f (x, y, z, t) and hence by chain rule, we can write,

ax = ?u dx + ?u dy + ?u dz + ?u ?x dt ?y dt ?z dt ?t       Similarly Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
Civil - Mechanics Of Fluids - Fluid Kinematics And Dynamics : Fluid Kinematics And Dynamics: Velocity, Acceleration |

Related Topics