Aula Teórica 6 Pressure distribution in “Rigid Body” type flows.

Slides:

Advertisements

Similar presentations

Resultant force on a submerged curved surface

Advertisements

Chapter 3: Pressure and Fluid Statics

Aula 5 Mecânica dos Fluidos 2-Estática do fluido.

Aula teórica 11 Rotação do tipo corpo sólido. Princípios de Conservação (massa, momentum e energia)

ESC020: Rigid Body Mechanics

1 LECTURE 2: DIVERGENCE THEOREM, PRESSURE, ARCHIMEDES PRINCIPLE Outward normal vector: consider an arbitrarily shaped simply- connected volume. I have.

Aim: How can we explain forces at an angle? Do Now: Solve for the x and y components: 10 N x y 30° x = 5 N x = 8.7 N.

PLANAR KINETIC EQUATIONS OF MOTION: TRANSLATION (Sections )

Force due to a jet hitting an inclined plane

Forces on Submerged Surfaces in Static Fluids

Static Surface Forces hinge water ? 8 m 4 m . Static Surface Forces ä Forces on plane areas ä Forces on curved surfaces ä Buoyant force ä Stability of.

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 19.

Hinge Statics ? Surface Forces.

AOSS 321, Winter 2009 Earth System Dynamics Lecture 6 & 7 1/27/2009 1/29/2009 Christiane Jablonowski Eric Hetland

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 13.

Static Surface Forces hinge water ? 8 m 4 m . Static Surface Forces ä Forces on plane areas ä Forces on curved surfaces ä Buoyant force ä Stability submerged.

Static Surface Forces hinge 8 m water ? 4 m.

Monroe L. Weber-Shirk S chool of Civil and Environmental Engineeringhinge ? Statics Surface Forces 

ENGR 215 ~ Dynamics Sections 16.4

1 MECH 221 FLUID MECHANICS (Fall 06/07) Chapter 2: FLUID STATICS Instructor: Professor C. T. HSU.

Hinge Statics ? Surface Forces.

Free Body Diagram. Force Vectors  Force is a vector.  A block sliding on an inclined plane has forces acting on it.  We know there is a force of gravity.

LAMINAR PLANE COUETTE AND OPEN CHANNEL FLOW

Hydrostatic Pressure distribution in a static fluid and its effects on solid surfaces and on floating and submerged bodies. Fluid Statics M. Bahrami ENSC.

TropicalM. D. Eastin Cylindrical Coordinate System.

Momentum. NEWTON’S LAWS Newton’s laws are relations between motions of bodies and the forces acting on them. –First law: a body at rest remains at rest,

PHYSICAL PROPERTIES The main distinction between fluids is according to their aggregate state : Liquids (possess the property of free surface) Gases (expand.

Force on Floating bodies:

Conservation of Mass D=Domain of a body of water Water is flowing in and out of D Mass is neither created nor destroyed Flow coming in = Flow going out.

CP502 Advanced Fluid Mechanics

Copyright © 2010 Altair Engineering, Inc. All rights reserved.Altair Proprietary and Confidential Information Section 13 Loads and Boundary Conditions.

ESC020: Rigid Body Mechanics

Union College Mechanical Engineering ESC020: Rigid Body Mechanics1 Kinetics of Particles  Free Body Diagrams  Newton’s Laws  Euler’s Laws.

CHAPTER 2 Fluid Statics and Its Applications Nature of fluids

CE 1501 CE 150 Fluid Mechanics G.A. Kallio Dept. of Mechanical Engineering, Mechatronic Engineering & Manufacturing Technology California State University,

PROJECTILE MOTION An object launched into space without motive power of its own is called a projectile. If we neglect air resistance, the only force acting.

Projectiles Horizontal Projection Horizontally: Vertically: Vertical acceleration g  9.8 To investigate the motion of a projectile, its horizontal and.

Chapter 7 cover. Figure 7.1 Figure 7.2 Figure mb/km 115G150 knots.

Pressure distribution in a fluid Pressure and pressure gradient Lecture 4 Mecânica de Fluidos Ambiental 2015/2016.

Work, Power and Energy in Rotational Motion AP Physics C Mrs. Coyle.

Buoyancy, Flotation and Stability

9.6 Fluid Pressure According to Pascal’s law, a fluid at rest creates a pressure ρ at a point that is the same in all directions Magnitude of ρ measured.

Namas Chandra Introduction to Mechanical engineering Chapter 9-1 EML 3004C CHAPTER 9 Statics, Dynamics, and Mechanical Engineering.

9 rad/s2 7 rad/s2 13 rad/s2 14 rad/s2 16 rad/s2

CEE 262A H YDRODYNAMICS Lecture 7 Conservation Laws Part III.

Motion. Equations N EWTON ’ S LAWS OF MOTION First law: law of Inertia a body at rest remains at rest and a body in motion continues to move in straight.

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.

A Mathematical Frame Work to Create Fluid Flow Devices…… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Development of Conservation.

Pharos University ME 253 Fluid Mechanics 2

The Meaning of Einstein’s Equation*

Static Equilibrium Physics 150/250 Center of Mass Types of Motion

Objectives  Introduce the concept of pressure;  Prove it has a unique value at any particular elevation;  Show how it varies with depth according.

Air Pressure and Winds II. RECAP Ideal gas law: how the pressure, the temperature and the density of an ideal gas relay to each other. Pressure and pressure.

STROUD Worked examples and exercises are in the text Programme 21: Integration applications 3 INTEGRATION APPLICATIONS 3 PROGRAMME 21.

AKM 205 AKIŞKANLAR MEKANİĞİ Yrd.Doç.Dr. Onur Tunçer İstanbul Teknik Üniversitesi “AKIŞKAN STATİĞİ”

Chapter 12 Lecture 21: Static Equilibrium and Elasticity: I HW8 (problems):11.7, 11.25, 11.39, 11.58, 12.5, 12.24, 12.35, Due on Friday, April 1.

SHREE SA’D VIDYA MANDAL INSTITUTE OF TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING.

Worked examples and exercises are in the text STROUD PROGRAMME 20 INTEGRATION APPLICATIONS 3.

Modelling of Marine Systems. Shallow waters Equations.

T HE VORTICAL MECHANISM OF GENERATION & COLLIMATION OF THE ASTROPHYSICAL JETS M.G. A BRAHAMYAN Yerevan State University, Armenia.

The horizontal and vertical components of a projectile in motion depend upon the initial velocity. True False.

Rotational Kinetic Energy

ATOC 4720 class32 1. Forces 2. The horizontal equation of motion.

FLUID MECHANICS 1.1 HYDROSTATIC FORCES.

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.

Force Diagrams (Free Body Diagrams)

FLUID MECHANICS - Review

Introduction to Fluid Mechanics

Presentation transcript:

Aula Teórica 6 Pressure distribution in “Rigid Body” type flows.

What is a rigid body flow? A flow is of the “Rigid body” if the adjacent elementary volumes maintain their relative position, i.e. if there is no shear. In this case forces are exclusively resulting from: – Pressure or – Gravity

Force resultant

Examples Uniform linear acceleration: x1 x3

If there is a free surface The pressure is hydrostatic and consequently there is inclination…. If acceleration is constant, the horizontal pressure gradient is constant and the free surface is a plane: x1 x3

Rotating flow Rotation implies acceleration.

Cylindrical coordinates are the most adequate

i.e. the parabola vertices is at z=0 and r=0.

The line along which p=p1 is: At free surface p=p0 and thus: i.e. the free surface is a parabola.

Free surface formation The volume above the resting level is equal to the volume below that level. The free surface can cut the bottom.

Curvilinear stream lines Can we have any curvature? We are limited by the pressure gradient.

Summary If there is acceleration in a free surface flow, free surface inclination will appear. If acceleration is linear and constant, the free surface is plan If there is rotation at constant angular velocity, the free surface is a parabola.