Draft for Information Only
ContentFluid Kinematics
Fluid KinematicsKinematics is the study of the velocity and acceleration of the fluid motion. There are two methods to study the motion of fluid. One way can focus on fluid particles by tracking their position vector, i.e. and determining their associated properties as a function of time, i.e. velocity vector . This is the Lagrangian description of fluid motion. The other way of describing fluid motion is the Eulerian description of fluid motion, which focuses on the fluid flows in and out of a control volume in terms of field variables. Instead of following individual fluid particles, the description describes the variables value of the location only and does not care whichever fluid particle occupying that location inside the control volume as a function of space and time, i.e. pressure field , velocity field to define the flow field. Velocity FieldFluid property can be represented as a function of spatial coordinates in term of a field representation. For a fluid flow, it is also a function of time. When the velocity value of a location equals to zero, i.e. , it is called a stagnation point. Acceleration FieldIn a fluid flow, the velocity of a particle is a function of its location and time. Imply . By definition, the acceleration of a particle is the time rate of change of its velocity, . Using chain rule of differentiation, and because imply . Since the equation can be used to describe any particle, the
acceleration field can be obtained from the velocity field as And the total acceleration can be expressed as or Since the total derivative operator is derived from a fluid particle, it is called material derivative, . i.e. The total acceleration is therefore also called material acceleration. ©sideway ID: 100100002 Last Updated: 2/7/2010 Revision: 1 Latest Updated Links
|
Home 5 Business Management HBR 3 Information Recreation Hobbies 8 Culture Chinese 1097 English 339 Travel 4 Reference 79 Computer Hardware 251 Software Application 213 Digitization 32 Latex 52 Manim 205 KB 1 Numeric 19 Programming Web 289 Unicode 504 HTML 66 CSS 65 SVG 46 ASP.NET 270 OS 431 DeskTop 7 Python 72 Knowledge Mathematics Formulas 8 Set 1 Logic 1 Algebra 84 Number Theory 206 Trigonometry 31 Geometry 34 Calculus 67 Engineering Tables 8 Mechanical Rigid Bodies Statics 92 Dynamics 37 Fluid 5 Fluid Kinematics 5 Control Acoustics 19 Natural Sciences Matter 1 Electric 27 Biology 1 |
Copyright © 2000-2024 Sideway . All rights reserved Disclaimers last modified on 06 September 2019