Difference between revisions of "Latex Equations Cribsheet"
(Replace QNET with KB Wiki) 

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== Introduction ==  == Introduction ==  
−  This page provides some introductory material for writing LaTex equations for the  +  This page provides some introductory material for writing LaTex equations for the KB Wiki. It is not intended to be a thorough introduction to LaTex, but is to provide some guidelines, share good practice advice and other information that aids the authoring of LaTex in this Wiki. 
== Editing Latex ==  == Editing Latex ==  
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==CFD Equations and Expressions==  ==CFD Equations and Expressions==  
−  There are many CFD equations and expressions used in the  +  There are many CFD equations and expressions used in the KB Wiki and some of the commonly used ones are listed here. These can be either copied verbatim from the article source or used as templates for similar equations, etc. 
Latest revision as of 11:03, 17 January 2021
Contents
Introduction
This page provides some introductory material for writing LaTex equations for the KB Wiki. It is not intended to be a thorough introduction to LaTex, but is to provide some guidelines, share good practice advice and other information that aids the authoring of LaTex in this Wiki.
Editing Latex
To add an equation to an article click on the "Mathematical formula" button in the Edit toolbar.
Alternatively, use the math element in the Edit page of the article as follows:
<math>V = frac{4}{3} \pi R^{3}</math>
This should generate the expression:
Basic Mathematical Expressions
Algebraic Equations
The above example shows a typical algebraic expression that uses a mixture of fractions and exponents. Fractions are generated using the frac expression with the numerator and denominator as two arguments:
<math> a = \frac{b+c}{d} </math>
Differential Equations
Ordinary and partial derivative expressions can be generated in the obvious way using the frac operator:
while exponents are written with the symbol '^':
<math> E = mc^{2} </math>
The curly braces '{}' are optional but may be required to remove ambiguities or aid readability in LaTex expressions.
Subscripts are defined using the '_' symbol.
<math> \sigma_{kk} </math>
is rendered as:
Arrays of equations
<math> \begin{array}{lcl} a + b + c + d & = & e + f + \\ & & g + h \end{array} </math>
More information on basic mathematical expressions can be found at the MediaWiki web site here and here.
CFD Equations and Expressions
There are many CFD equations and expressions used in the KB Wiki and some of the commonly used ones are listed here. These can be either copied verbatim from the article source or used as templates for similar equations, etc.
Basic Expressions
Reynolds Number
Prandl Number
Basic Flow Equations
Mass Continuity Equation
Eulers Equation
where in the case of a Newtonian fluid:
and
Energy Transport Equation
The heat flux is given by:
Equations of State
Ideal Equation of State
Turbulence Equations
Standard Two Equation Model
Kinematic eddy viscosity:
Turbulent Kinetic Energy transport equation:
Dissipation Rate transport equation:
Coefficients and Auxilliary Relations:



where
and
Reynolds Stress Transport Equation