User:Rememberlands/sandbox

Here are notes for Dimensionless Numbers project. Any steps that have been performed will be deleted from this page by myself.

= Main work =

Dimensionless Quantities Page and Related Work

 * Create pages for missing numbers:
 * Bodenstein number
 * Brownell–Katz number ?
 * Excess temperature coefficient
 * Jakob number
 * Kutateladze number
 * (Mason number) - add to table
 * Peel number
 * Prater number
 * Vadasz number
 * Wallis parameter
 * Weaver flame speed number
 * Add relevant numbers to dimensionless numbers template.
 * Remove/transfer unneeded references.
 * Create summary of areas of applicability of DQs.
 * Citations improvements to DQ page.
 * Add section on Rayleigh method of finding dimensionless numbers.


 * Separate page on dimensionless numbers in fluid mechanics?
 * Create explanatory work on interconnections of the numbers. (Should this be a wikibook?)

Systematic corrections

 * Collons in front of equations :
 * Move inline equations from math with arrows to math with brackets.
 * Add references to completely empty pages.
 * Citations such as Zohuri's Dimensional Analysis book, and Broadkey and Hershey, BSL if applicable.
 * Define all variables.
 * Explained units in all cases.

Use Prandtl Number, Reynolds Number and others as references for formatting. Fourier Number is a decent example of what to go for.

Specific Pages Todos
Keep these todos specific and achievable!

Fourier Number
Fourier Number still could use a better description of physical effects, particularly early on page. Date of discovery/definition would be nice.

= Generic Dimensionless Number Template =

In fluid mechanics, the Unknown number (Xn), named after the physicist Anon, is used to determine the effects of two things. It was discovered on some date.

Definition (optional)
It is a dimensionless number defined as the ratio of one force to another and has the form:


 * $$\mathrm{Xn} = \frac{\text{one force}}{\text{another force}} = \frac{a}{b}$$

where:
 * $a$ is the area, (SI units: m2),
 * $b$ is the other area, (m2),

Comment about physical behavior for high and low values.

Explain and give alternate physical interpretation:


 * $$\mathrm{Xn} = \frac{\text{different thing}}{\text{another thing}}$$

Discuss manipulation into relation with other dimensionless numbers.


 * $$\mathrm{Xn} = \mathrm{Yn}\,\mathrm{Zn}$$

Application
Give a paragraph about how the unknown number is actually used.

Derivation
Give a short outline of the derivation of the number from as simple a system as possible, particularly such that the primary definition is illuminated.