Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-27T17:12:38.981Z Has data issue: false hasContentIssue false

2 - Physical properties and dimensional analysis

Published online by Cambridge University Press:  05 June 2012

Pierre Y. Julien
Affiliation:
Colorado State University
Get access

Summary

The processes of erosion, transport, and deposition of sediment particles introduced in Chapter 1 relate to the interaction between solid particles and the surrounding fluid. This chapter describes physical properties of water and solid particles in terms of dimensions and units (Section 2.1), physical properties of water (Section 2.2) and of sediment (Section 2.3). The method of dimensional analysis (Section 2.4) is then applied to representative erosion and sedimentation problems.

Dimensions and units

The physical properties of fluids and solids are usually expressed in terms of the following fundamental dimensions: mass (M), length (L), time (T), and temperature (T°). The fundamental dimensions are measurable parameters which can be quantified in fundamental units.

In the SI system of units, the basic units of mass, length, time, and temperature are the kilogram (kg), the meter (m), the second (s), and the degree Kelvin (°K), respectively. Alternatively, the Celsius scale (°C) is commonly preferred with the freezing point of water at 0°C, and the boiling point at 100°C.

A newton (N) is defined as the force required to accelerate one kilogram at one meter per second squared. Knowing that the acceleration due to gravity at the Earth's surface g is 9.81 m/s2, the weight of a kilogram is obtained from Newton's second law: F = mass × g = 1 kg × 9.81 m/s2 = 9.81N. The unit of work (or energy) is the joule (J) which equals the product of one newton times one meter.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×