DIMENSIONAL AND MODEL ANALYSIS

Slides:



Advertisements
Similar presentations
The Art of Comparing Force Strengths… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Diagnosis of NS Equations.
Advertisements

Dynamic Similarity diabetes.com/Article s.asp?ID=150 Dimensionless Science.
1 MECH 221 FLUID MECHANICS (Fall 06/07) Tutorial 7.
The Effect of Inlet Tube Size on a Cone Shaped Flocculater Shubha Bhar Taylor Britton.
Monroe L. Weber-Shirk S chool of Civil and Environmental Engineering Closed Conduit Flow CEE 332.
CE 1501 CE 150 Fluid Mechanics G.A. Kallio Dept. of Mechanical Engineering, Mechatronic Engineering & Manufacturing Technology California State University,
Monroe L. Weber-Shirk S chool of Civil and Environmental Engineering Dimensional Analysis and Similitude CEE 331 June 22, 2015 
1/19 ChEg 355 Transport Phenomena Lecture.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 2 Mathematical Modeling and Engineering Problem Solving.
FINAL LECTURE of NEW MATERIAL!!! (1) How to build a better model (2) Lift, Drag, Pressure forces considered together.
Fluid Mechanics Wrap Up CEE 331 June 27, 2015 CEE 331 June 27, 2015 
Monroe L. Weber-Shirk S chool of Civil and Environmental Engineering Dimensional Analysis and Similitude CEE 331 June 28, 2015 CEE 331 June 28, 2015 
Copyright © 2006 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. by Lale Yurttas, Texas A&M University Chapter 11.
Chapter 7: Dimensional Analysis and Modeling
Stanford University Department of Aeronautics and Astronautics Introduction to Symmetry Analysis Brian Cantwell Department of Aeronautics and Astronautics.
Similitude and Dimensional Analysis
Similarity Laws for Turbo-machinery P M V Subbarao Professor Mechanical Engineering Department From Inception to Utilization….
Pharos University ME 259 Fluid Mechanics Lecture # 9 Dimensional Analysis and Similitude.
L. M. LyeDOE Course1 Design and Analysis of Multi-Factored Experiments Dimensional Analysis.
Dimensional analysis Drag force on sphere depends on: The velocity U
Aula Teórica 18 & 19 Adimensionalização. Nº de Reynolds e Nº de Froude. Teorema dos PI’s, Diagrama de Moody, Equação de Bernoulli Generalizada e Coeficientes.
Chapter 7: DIMENSIONAL ANALYSIS AND MODELING
Reynolds ( ) Ernst Mach (1838 – 1916).
Chapter 4 DIMENSIONAL ANALYSIS AND DYNAMIC SIMILITUDE
CHAPTER 1 INTRODUCTION.  At the end of this chapter, you should be able to: 1. Understand the basic concepts of fluid mechanics and recognize the various.
Dimensional Analysis A tool to help one to get maximum information from a minimum number of experiments facilitates a correlation of data with minimum.
1 MECH 221 FLUID MECHANICS (Fall 06/07) Chapter 6: DIMENTIONAL ANALYSIS Instructor: Professor C. T. HSU.
© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 7 Dimensional Analysis and Similitude.
Amy Stephens BIEN February 2007
The Nature of Engineering Knowledge September 29, 2010.
Order of Magnitude Scaling of Complex Engineering Problems Patricio F. Mendez Thomas W. Eagar May 14 th, 1999.
Unit 1: Fluid Dynamics An Introduction to Mechanical Engineering: Part Two Fluid dynamics Learning summary By the end of this chapter you should have learnt.
Fluid Mechanics and Applications MECN 3110
Dimensional Analysis and Similitude . Dimensional Analysis ä Dimensions and Units   Theorem ä Assemblage of Dimensionless Parameters ä Dimensionless.
PIPELINE DESIGN ‘ THE ENGINEERING APPROACH’ SESSION OBJECTIVES THE ENGINEERING EQUATIONS TRANSMISSION LINE GAS FLOW LIQUID SYSTEM.
CE 1501 Flow Over Immersed Bodies Reading: Munson, et al., Chapter 9.
Dimensional Analysis.
DIMENSIONAL ANALYSIS SECTION 5.
Chapter 7: Dimensional Analysis and Modeling SCHOOL OF BIOPROCESS ENGINEERING, UNIVERSITI MALAYSIA PERLIS.
FLUID MECHANICS AND MACHINERY Department of Mechanical Engineering Department.
Elementary Mechanics of Fluids CE 319 F Daene McKinney Dimensional Analysis.
Dimensional Analysis. Experimentation and modeling are widely used techniques in fluid mechanics.
Flow Similarity and Model Testing Geometrical similarity: similar geometry. Kinematic similarity: flow pattern around the model should be similar to...
Chapter 10 Approximate Solutions of the Navier-Stokes Equation
Fundamental (First) Principles of Fluid Mechanics
4.4 DISCUSSION OF DIMENSIONLESS PARAMETERS
Chapter 11 DIMENSIONAL ANALYSIS. 2 Fundamental theory preliminary expt. Dimensional analysis: ( 因次分析 ) Experiments Practical Problems analytical soln.
Chapter 4 DIMENSIONAL ANALYSIS AND DYNAMIC SIMILITUDE.
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-1 Chapter 1.
Energy principle ( 에너지 법칙 ) The 1 st law of thermodynamics ( 열역학 제 1 법칙 ) – “conservation of energy” (no appearance or disappearance of energy in a system,
Introduction to Symmetry Analysis Chapter 2 - Dimensional Analysis
Chapter 1.
Chapter 7 DIMENSIONAL ANALYSIS AND MODELING
Similitude Analysis: Dimensional Analysis
Chapter 7 DIMENSIONAL ANALYSIS AND MODELING
Well Design PE 413.
Welcome W 10.1 Introduction to Engineering Design II (IE 202)
convective heat transfer
Dimensional Analysis.
Fluid Mechanics Chapter 8 Dimensional Analysis and Similitude Dr
Physical Modeling (dimensional analysis)
Solve: 1. 4<
Ohm’s Law If the current I = 0.2A and the resistance R = 1000 ohms, solve for voltage. If V = 110V and R = ohms, how much current is flowing through.
قوانين برگزاري مناقصات و آيين نامه مالي و معاملاتي دانشگاه علوم پزشكي و خدمات بهداشتي ،درماني تهران
Introduction to Fluid Dynamics & Applications
Chapter 7 : Dimensional Analysis Modeling, and Similitude
Subject Name: FLUID MECHANICS
DIMENSIONAL ANALYSIS.
Introduction to Fluid Mechanics
Presentation transcript:

DIMENSIONAL AND MODEL ANALYSIS

DIMENSIONAL ANALYSIS Dimensional analysis is a mathematical technique which makes use of the study of the dimensions for solving several engineering problems.

METHODS OF DIMENSIONAL ANALYSIS

MODEL ANALYSIS

FORCES INFLUENCING HYDRAULIC PHENOMENA flow

DIMENSIONLESS NUMBERS AND THEIR SIGNIFICANCE

Reynolds models Law : ( Re )model = ( Re )prototype 1. Reynolds number (Re) Reynolds models Law : ( Re )model = ( Re )prototype ?????????????????????

2. Froude number (Fr) ?????????????????????

3. Euler’s number (Eu) ?????????????????????

4. Weber number (We) ?????????????????????

5. Mach number (M) ?????????????????????