Mechanics Of Fluids- Dimensional Analysis: Introduction

Dimensional Analysis And Model Studies

INTRODUCTION

Dimensional analysis.

Dimensional analysis is defined as a mathematical technique used in research work for design and conducting model tests.

Fundamental dimensions

The fundamental units quantities such as length (L), mass (M), and time (T) are fixed dimensions known as fundamental dimensions.

Units.

Unit is defined as a yardstick to measure physical quantities like distance, area, volume, mass etc.

Derive the dimensions for velocity.

Velocity is the distance (L) travelled per unit time (T)

Velocity = Distance/ Time = [L/T] = LT^-1.

Model

Model is nothing but small-scale repetition of the actual structure or machine.

List out the advantages of model analysis.

The advantages of model analysis are:

1.   The performance of hydraulic structure or machine can be easily predicted in advance from its model.

The merits of alternative design can be predicted with the help of model testing and the most economical and safe design may be finally adopted.