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

**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.

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