Sideway
output.to from Sideway
Fluid Kinematics



Draft for Information Only

Fluid Motion

The fluidity property of fluid makes the motion of fluid very complex. The velocity variation of each fluid particle during fluid flow within the velocity field image caused by forces results fluid element deformation. The deformation of fluid is similar to that of solid except fluid deforms continuously and therefore express in terms of rate of deformation or strain rate. Types of fluid motion and deformation are translation, linear deformation, rotation, and angular deformation.

Linear Translation

The linear translation of a fluid element in a small time interval with same field velocity along the flow direction, for example in xy plane

image

Linear Deformation

The linear deformation of a fluid element in a small time interval with field velocity gradient along the flow direction, for example in xy plane

image

Linear Strain Rate

The linear strain rate or the rate of change of length per unit length along one of the flow direction can be expressed as

image

Let image, the volumetric strain rate or the bulk strain rate is then

image

Angular Rotation

When there is a cross flow velocity gradient along the flow, the fluid element will rotate, for example in the xy-plane,

image

Angular Deformation

In a small time interval, the angular deformations of the fluid element, for example in the xy-plane.

image

Therefore for small angles,

image

and

image

Angular Strain Rate

The angular strain rate or the rate of shear strain by definition can be expressed as

image

and in terms of strain rate tensor

image


┬ęsideway

ID: 100200003 Last Updated: 2/10/2010 Revision: 1

IMAGE

Home (1)new

Business

Management

HBR (3)

Information

Recreation

Hobbies (7)

Culture

Chinese (1097)

English (334)

Reference (60)

Computer

Hardware (148)

Software

Application (187)

Digitization (24)

Numeric (19)

Programming

Web (540)

CSS (SC)

HTML

Knowledge Base

Common Color (SC)

Html Entity (Unicode) (SC)

Html 401 Special (SC)

OS (366)

MS Windows

Windows10 (SC)

DeskTop (5)

Knowledge

Mathematics

Formulas (8)

Number Theory (197)new

Algebra (14)

Trigonometry (18)

Geometry (18)

Calculus (67)

Engineering

Tables (8)

Mechanical

Mechanics (1)

Rigid Bodies

Statics & Dynamics (129)

Fluid (5)

Fluid Kinematics (5)

Control

Process Control (1)

Acoustics (19)

FiniteElement (2)

Biology (1)

Geography (1)

Latest Updated Links

Copyright © 2000-2019 Sideway . All rights reserved Disclaimers last modified on 10 Feb 2019