Sideway
output.to from Sideway
Draft for Information Only

Content

Fluid Motion
 Linear Translation
 Linear Deformation
 Linear Strain Rate
 Angular Rotation
 Angular Deformation
 Angular Strain Rate

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

©sideway

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


Latest Updated LinksValid XHTML 1.0 Transitional Valid CSS!Nu Html Checker Firefox53 Chromena IExplorerna
IMAGE

Home 5

Business

Management

HBR 3

Information

Recreation

Hobbies 8

Culture

Chinese 1097

English 339

Reference 79new

Computer

Hardware 224new

Software

Application 213

Digitization 32

Latex 52new

Manim 204

KB 1

Numeric 19

Programming

Web 289

Unicode 504

HTML 66

CSS 65

SVG 46

ASP.NET 270

OS 429

DeskTop 7

Python 72

Knowledge

Mathematics

Formulas 8

Algebra 84

Number Theory 206

Trigonometry 31

Geometry 33new

Coordinate Geometry 2

Calculus 67

Complex Analysis 21

Engineering

Tables 8

Mechanical

Mechanics 1

Rigid Bodies

Statics 92

Dynamics 37

Fluid 5

Fluid Kinematics 5

Control

Process Control 1

Acoustics 19

FiniteElement 2

Natural Sciences

Matter 1

Electric 27

Biology 1

Geography 1


Copyright © 2000-2022 Sideway . All rights reserved Disclaimers last modified on 06 September 2019