Introductory Fluid Dynamics

Fluid dynamics is concerned with mathematically describing the motion of fluids. The equations that describe fluid motion are very complicated and require numerical methods to solve. This publication provides an introduction to the concepts, equations, and methods used to describe the flow of incompressible fluids. The material is limited to analysis methods that can be done by hand. These methods provide an important introduction to the conservation principles employed by Computational Fluid Dynamics (CFD) software.

Year Published: 
2014

Learning Objectives

Gain an understanding of the fluid properties and governing equations for 1-D incompressible fluid flow.

Software Covered: 

Fluid Properties

Fluid Properties

A fluid is defined as a substance that conforms to the shape of the object that holds it.

Fluid Particles & Control Volumes

Fluid Particles & Control Volumes

Different frames of reference are used in the study of fluid dynamics.

Reynold’s Transport Theorem

Reynold’s Transport Theorem

The basic laws of Physics (i.e. conservation of mass, conservation of energy, and rate of change of momentum) are defined for a fixed particle or system of particles.

Conservation of Mass for a Control Volume

Conservation of Mass for a Control Volume

Conservation of Mass is one of the fundamental equations of fluid dynamics.

Conservation of Energy

Conservation of Energy

Conservation of Energy is one the three fundamental equations that govern the flow of fluids.

Momentum Equation

Momentum Equation

The Momentum Equation is one of three fundamental equations used to describe the motion of fluids.

Bernoulli’s Equation

Bernoulli’s Equation

Bernoulli’s equation is an important and widely used equation in fluid dynamics.

Dimensional Analysis

Dimensional Analysis

Dimensional analysis is an important method used in fluid dynamics and other fields that can minimize the time and expense spent on experiments.

Drag

Drag

When an object moves though a fluid there is a force exerted on the body by the fluid.

Head Losses in Pipe Flow

Head Losses in Pipe Flow

Pressure or head losses in piping systems are due to the viscosity of the fluid, elevation changes, changes in diameter, valves, elbows, etc.

Authors

Robert
LeMaster
PhD., PE
University of Tennessee Martin