Motion of a Fluid Particle (Kinematics)

Motion of a Fluid Particle (Kinematics)

Fluid Translation

Acceleration of a Fluid Particle in a Velocity Field

Scalar Cartesian Form:

Fluid Translation

Scalar Cylindrical Form:

Fluid Translation

Fluid Deformation:• Linear Deformation

Fluid Rotation

Original Particle Particle after time Dt

Fluid Rotation

Rotational Component Angular Deformation Component

Fluid Rotation

Fig 1. Results of a CFD calculation of flow impinging on a block (a) streamlines, (b)velocity vector plot of upper half of the flow and (c) velocity vector plot, close up view revealing more details. (From Cengel and Cimbabla)

Vorticity

Fig 3. Contour plots of the vorticity field due to flow impinging on a block as produced by a CFD simulation. Only the upper half is due to symmetry. Dark regions represent large negative vorticity and light regions represent large positive vorticity.

Fig 2. Contour plots of the pressure field due to flow impinging on a block as produced by a CFD simulation.

Vorticity

Fluid Deformation:• Angular Deformation

Fluid Deformation:• Angular Deformation