Motion of a Fluid Particle (Kinematics)

Slides:

Advertisements

Similar presentations

Rotational Kinematics

Advertisements

Particle vs. Rigid-Body Mechanics

1 MAE 5130: VISCOUS FLOWS Lecture 3: Kinematic Properties August 24, 2010 Mechanical and Aerospace Engineering Department Florida Institute of Technology.

Chapter 2 Reynolds Transport Theorem (RTT) 2.1 The Reynolds Transport Theorem 2.2 Continuity Equation 2.3 The Linear Momentum Equation 2.4 Conservation.

Trajectories. Eulerian View  In the Lagrangian view each body is described at each point in space. Difficult for a fluid with many particles.  In the.

MECH 221 FLUID MECHANICS (Fall 06/07) Chapter 4: FLUID KINETMATICS

PHYS 218 sec Review Chap. 9 Rotation of Rigid Bodies.

Chapter 4: Fluid Kinematics

College of Physics Science & Technology YANGZHOU UNIVERSITYCHINA Chapter 11ROTATION 11.1 The Motion of Rigid Bodies Rigid bodies A rigid body is.

Chapter 4: Fluid Kinematics

© Fox, McDonald & Pritchard Introduction to Fluid Mechanics Chapter 5 Introduction to Differential Analysis of Fluid Motion.

Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

PTT 204/3 APPLIED FLUID MECHANICS SEM 2 (2012/2013)

CHAPTER (III) KINEMATICS OF FLUID FLOW 3.1: Types of Fluid Flow : Real - or - Ideal fluid : Laminar - or - Turbulent Flows : Steady -

Kinematics of Flow. Fluid Kinematics  Fluid motion -Types of fluid - Velocity and acceleration - Continuity equation  Potential Flows -Velocity Potential.

STRAIN RATE, ROTATION RATE AND ISOTROPY

5.Kinematics of Particles

KINEMATICS Kinematics describes fluid flow without analyzing the forces responsibly for flow generation. Thereby it doesn’t matter what kind of liquid.

Chapter 2 – kinematics of particles

Rotational Kinematics Chapter 8. Expectations After Chapter 8, students will:  understand and apply the rotational versions of the kinematic equations.

Jump to first page 1 Chapter 3 Kinematics of particles Differentiation: the ratio between two increments when they are extremely small, e.g. velocity.

DESCRIBING MOTION: Kinematics in One Dimension CHAPTER 2.

المحاضرة الخامسة. 4.1 The Position, Velocity, and Acceleration Vectors The position of a particle by its position vector r, drawn from the origin of some.

Chapter 4 FLUID KINEMATICS

Lecture 3 Kinematics Part I

Chapter 10 Rotational Motion.

Multi-beams simulation in PIC1D Hands-on section 4.

Chapter 4 FLUID KINEMATICS

Rotational kinematics and energetics

Spring Rigid Body Simulation. Spring Contents Unconstrained Collision Contact Resting Contact.

Linear Kinematics Displacement Velocity and Acceleration WOD are underlined.

Ch 4 Fluids in Motion.

Abj 4.2.2: Pressure, Pressure Force, and Fluid Motion Without Flow [Q2 and Q3] Area as A Vector Component of Area Vector – Projected Area Net Area.

Any vector can be written as a linear combination of two standard unit vectors. The vector v is a linear combination of the vectors i and j. The scalar.

Scalar-Vector Interaction in Animating but non-alive Fields …… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Special Vector Calculus.

Tuesday Sept 21st: Vector Calculus Derivatives of a scalar field: gradient, directional derivative, Laplacian Derivatives of a vector field: divergence,

© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 5 Introduction to Differential Analysis of Fluid Motion.

Angular Velocity: Sect Overview only. For details, see text! Consider a particle moving on arbitrary path in space: –At a given instant, it can.

1 Work in Rotational Motion Find the work done by a force on the object as it rotates through an infinitesimal distance ds = r d  The radial component.

Chapter 9: Rotational Motion

IV. Kinematics of Fluid Motion. Contents 1. Specification of Fluid Motion 2. Material Derivatives 3. Geometric Representation of Flow 4. Terminology 5.

CP502 Advanced Fluid Mechanics

CP502 Advanced Fluid Mechanics

The Big 3 Equations of Motion We have three equations that can be used to solve most Problems, when dealing with translational (tangential) motion. These.

Plots of Fluid Flow Data Profile plots- A profile plot indicates how the value of a scalar (or vector can be plotted but only the magnitude) property varies.

Faros University ME 253 Fluid Mechanics II

Chapter 4 Kinematics of Fluid Motion 1. 2 §4.1 The Velocity field 3.

The vector measure of rotation around a point

Chapter 4 FLUID KINEMATICS

Heat and Flow Technology I.

Motion of a Fluid Particle (Kinematics)

Date of download: 10/1/2017 Copyright © ASME. All rights reserved.

MAE 5130: VISCOUS FLOWS Lecture 2: Introductory Concepts

FLUID MECHANICS LECTURE

Reference frames and displacement elapses between each image

الفصل 1: الحركة الدورانية Rotational Motion

THERMO- AND FLUID MECHANICS LECTURE

Lecture no 13 &14 Kinetics & kinematics of fluid flow

Rotation Angular frequency vs time graph w (rad s-1)

Find the velocity of a particle with the given position function

Figure 6.1 (p. 273) Types of motion and deformation for a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore.

Chapter 9: Rotational Motion

SCI 340 L23 Rotation rotating and revolving

Physics 111 Practice Problem Solutions 09 Rotation, Moment of Inertia SJ 8th Ed.: Chap 10.1 – 10.5 Contents 11-4, 11-7, 11-8, 11-10, 11-17*, 11-22, 11-24,

5. Describing Flow CH EN 374: Fluid Mechanics.

Mesoscopic Modeling of Bacterial Flagellar Microhydrodynamics

( ) Lagrangian Control Volume < > < l < l = ( , , ) l l l

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics

Fig. 3 CFD simulations. CFD simulations. (A to R) Details of water flow around Tribrachidium oriented at 0° to the current. Model with original height.

Presentation transcript:

Motion of a Fluid Particle (Kinematics)

Motion of a Fluid Particle (Kinematics)

Fluid Translation Acceleration of a Fluid Particle in a Velocity Field

Fluid Translation Scalar Cartesian Form:

Fluid Translation Scalar Cylindrical Form:

Fluid Deformation: Linear Deformation

Fluid Rotation Original Particle Particle after time Dt

Angular Deformation Component Fluid Rotation Rotational Component Angular Deformation Component

Fluid Rotation

Vorticity 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.

Fluid Deformation: Angular Deformation

Fluid Deformation: Angular Deformation