% \iffalse meta-comment % % Copyright (C) 2021 by Miguel R. Clemente % --------------------------------------------------------------------------- % This work may be distributed and/or modified under the % conditions of the LaTeX Project Public License, either version 1.3 % of this license or (at your option) any later version. % The latest version of this license is in % http://www.latex-project.org/lppl.txt % and version 1.3 or later is part of all distributions of LaTeX % version 2005/12/01 or later. % % This work has the LPPL maintenance status `maintained'. % % The Current Maintainer of this work is Miguel R. Clemente. % % This work consists of the files dimnum.dtx and dimnum.ins % and the derived filebase dimnum.sty. % % \fi % % \iffalse %<*driver> \ProvidesFile{dimnum.dtx} % %\NeedsTeXFormat{LaTeX2e}[2005/12/01] %\ProvidesPackage{dimnum} %<*package> [2021/04/05 v1.0.1 Provides commands for Dimensionless numbers] % % %<*driver> \documentclass{ltxdoc} \usepackage{dimnum}[2021/04/05] \usepackage{multirow} \usepackage{tabu} \usepackage{longtable} \usepackage{booktabs} \usepackage{caption} \usepackage{verbatim} \usepackage{indentfirst} \EnableCrossrefs \CodelineIndex \RecordChanges \begin{document} \DocInput{dimnum.dtx} \PrintChanges \end{document} % % \fi % % \CheckSum{221} % % \CharacterTable % {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z % Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z % Digits \0\1\2\3\4\5\6\7\8\9 % Exclamation \! Double quote \" Hash (number) \# % Dollar \$ Percent \% Ampersand \& % Acute accent \' Left paren \( Right paren \) % Asterisk \* Plus \+ Comma \, % Minus \- Point \. Solidus \/ % Colon \: Semicolon \; Less than \< % Equals \= Greater than \> Question mark \? % Commercial at \@ Left bracket \[ Backslash \\ % Right bracket \] Circumflex \^ Underscore \_ % Grave accent \` Left brace \{ Vertical bar \| % Right brace \} Tilde \~} % % % \changes{v1.0.0}{2021/04/01}{Public release} % \changes{v1.0.1}{2021/04/05}{Minor fixes, 42 new additions} % % \DoNotIndex{\newcommand,\newenvironment} % % \providecommand*{\url}{\texttt} % \GetFileInfo{dimnum.dtx} % \title{The \textsf{dimnum} package} % \author{Miguel R. Clemente \\ \url{miguel.clemente@dem.uc.pt}} % \date{\fileversion~from \filedate} % % \extrarowsep=4mm % % \maketitle % % Note: \Pr[l] is redefined from the \verb!amsmath! package. % % \section{Introduction} % % This package simplifies the calling of Dimensionless Numbers in math or text mode. % % In Table~\ref{Tab:DimNum} you can find all available Dimensionless Numbers. % % \section{Usage} % % A Dimensionless number is composed of four items: % \begin{itemize} % \item the command, % \item the symbol, % \item the name, % \item its identifier. % \end{itemize} % You can call a Dimensionless Number in three distinct ways: % \begin{itemize} % \item by its symbol -- using the command (i.e. \verb!\Ar! -- \Ar). % \item by its name (short version) -- appending [s] to the command (i.e. \verb!\Bi[s]! -- \Bi[s]). % \item by its name and identifier (long version) -- appending [l] to the command (i.e. \verb!\Kn[l]! -- \Kn[l]). % \end{itemize} % Symbol, short and long versions, all work in math or text mode without the need of further commands. % Besides the comprehensive list of included Dimensionless Numbers, this package also introduces a command to create new Dimensionless Numbers. Creating a Dimensionless Number is achieved by using $$\verb!\newdimnum{\command}{symbol}{name}{identifier}!$$ for example, to add the \Mo[l] we write $$\verb!\newdimnum{\Mo}{Mo}{Morton}{number}!$$ % The identifier can be left empty, such as in the case of \Cd[l] $$\verb!\newdimnum{Cd}{\ensuremath{C_d}}{Drag Coefficient}{}!$$ % in this example we also introduce an important command. When the Dimensionless Number symbol is always expressed in math mode -- either by definition or the use of subscripts or superscripts -- we add \verb!\ensuremath{}! to encompass the symbol, ensuring a proper representation of the Dimensionless Number. % You can add your own Dimensionless Numbers to your projects. Requests and suggestions to increment Table~\ref{Tab:DimNum} are accepted and encouraged. % %\begin{longtabu*} to \textwidth {>{\small}X[2,m] >{\small}X[m,c] >{\small}X[m,c]} % \centering \\ % \captionsetup{justification=centering} \\ % \caption{List of Dimensionless Numbers Available} \\ % \label{Tab:DimNum} \\ % \toprule \toprule % \rowfont[]{\bf}Long Name & Symbol & Command\\ \midrule % \endfirsthead % \multicolumn{3}{c}% % {{\footnotesize{\tablename\ \thetable{} -- continued from the previous page}}} \\ % \toprule % \rowfont[]{\bf}Long Name & Symbol & Command\\ \midrule % \endhead % \midrule \multicolumn{3}{r}{{\footnotesize{Continues on the next page}}} \\ % \endfoot % \bottomrule % \endlastfoot % \Ab[l] & \Ab & \verb!\Ab! \\ % \AC[l] & \AC & \verb!\AC! \\ % \Al[l] & \Al & \verb!\Al! \\ % \Ar[l] & \Ar & \verb!\Ar! \\ % \Arr[l] & \Arr & \verb!\Arr! \\ % \AW[l] & \AW & \verb!\AW! \\ % \At[l] & \At & \verb!\At! \\ % \Ba[l] & \Ba & \verb!\Ba! \\ % \Rz[l] & \Rz & \verb!\Rz! \\ % \Be[l] & \Be & \verb!\Be! \\ % \Bm[l] & \Bm & \verb!\Bm! \\ % \Bi[l] & \Bi & \verb!\Bi! \\ % \Bl[l] & \Bl & \verb!\Bl! \\ % \Blo[l] & \Blo & \verb!\Blo! \\ % \Bs[l] & \Bs & \verb!\Bs! \\ % \Bo[l] & \Bo & \verb!\Bo! \\ % \Br[l] & \Br & \verb!\Br! \\ % \BK[l] & \BK & \verb!\BK! \\ % \Ca[l] & \Ca & \verb!\Ca! \\ % \Cau[l] & \Cau & \verb!\Cau! \\ % \Ch[l] & \Ch & \verb!\Ch! \\ % \Jh[l] & \Jh & \verb!\Jh! \\ % \Jd[l] & \Jd & \verb!\Jd! \\ % \Jm[l] & \Jm & \verb!\Jm! \\ % \CoD[l] & \CoD & \verb!\CoD! \\ % \CoF[l] & \CoF & \verb!\CoF! \\ % \CoK[l] & \CoK & \verb!\CoK! \\ % \CoS[l] & \CoS & \verb!\CoS! \\ % \CoV[l] & \CoV & \verb!\CoV! \\ % \Coh[l] & \Coh & \verb!\Coh! \\ % \Co[l] & \Co & \verb!\Co! \\ % \CFL[l] & \CFL & \verb!\CFL! \\ % \Dah[l] & \Dah & \verb!\Dah! \\ % \Dr[l] & \Dr & \verb!\Dr! \\ % \fD[l] & \fD & \verb!\fD! \\ % \Dar[l] & \Dar & \verb!\Dar! \\ % \De[l] & \De & \verb!\De! \\ % \Deb[l] & \Deb & \verb!\Deb! \\ % \Cd[l] & \Cd & \verb!\Cd! \\ % \Du[l] & \Du & \verb!\Du! \\ % \Ec[l] & \Ec & \verb!\Ec! \\ % \Ek[l] & \Ek & \verb!\Ek! \\ % \Ela[l] & \Ela & \verb!\Ela! \\ % \El[l] & \El & \verb!\El! \\ % \Eo[l] & \Eo & \verb!\Eo! \\ % \Er[l] & \Er & \verb!\Er! \\ % \Eu[l] & \Eu & \verb!\Eu! \\ % \ExT[l] & \ExT & \verb!\ExT! \\ % \fF[l] & \fF & \verb!\fF! \\ % \Fs[l] & \Fs & \verb!\Fs! \\ % \FvK[l] & \FvK & \verb!\FvK! \\ % \Fo[l] & \Fo & \verb!\Fo! \\ % \Fre[l] & \Fre & \verb!\Fre! \\ % \Fr[l] & \Fr & \verb!\Fr! \\ % \Go[l] & \Go & \verb!\Go! \\ % \Ga[l] & \Ga & \verb!\Ga! \\ % \Gz[l] & \Gz & \verb!\Gz! \\ % \Gr[l] & \Gr & \verb!\Gr! \\ % \Hg[l] & \Hg & \verb!\Hg! \\ % \Ha[l] & \Ha & \verb!\Ha! \\ % \Hav[l] & \Hav & \verb!\Hav! \\ % \He[l] & \He & \verb!\He! \\ % \Ho[l] & \Ho & \verb!\Ho! \\ % \Ir[l] & \Ir & \verb!\Ir! \\ % \Ja[l] & \Ja & \verb!\Ja! \\ % \Ka[l] & \Ka & \verb!\Ka! \\ % \KC[l] & \KC & \verb!\KC! \\ % \Kn[l] & \Kn & \verb!\Kn! \\ % \Ku[l] & \Ku & \verb!\Ku! \\ % \La[l] & \La & \verb!\La! \\ % \Le[l] & \Le & \verb!\Le! \\ % \Cl[l] & \Cl & \verb!\Cl! \\ % \LM[l] & \LM & \verb!\LM! \\ % \Lu[l] & \Lu & \verb!\Lu! \\ % \Ma[l] & \Ma & \verb!\Ma! \\ % \Mg[l] & \Mg & \verb!\Mg! \\ % \Mar[l] & \Mar & \verb!\Mar! \\ % \Mo[l] & \Mo & \verb!\Mo! \\ % \Nus[l] & \Nus & \verb!\Nus! \\ % \Oh[l] & \Oh & \verb!\Oh! \\ % \Pe[l] & \Pe & \verb!\Pe! \\ % \Peel[l] & \Peel & \verb!\Peel! \\ % \pH[l] & \pH & \verb!\pH! \\ % \Pie[l] & \Pie & \verb!\Pie! \\ % \Poi[l] & \Poi & \verb!\Poi! \\ % \Pf[l] & \Pf & \verb!\Pf! \\ % \Pn[l] & \Pn & \verb!\Pn! \\ % \Pr[l] & \Pr & \verb!\Pr! \\ % \Cp[l] & \Cp & \verb!\Cp! \\ % \Ra[l] & \Ra & \verb!\Ra! \\ % \Rfi[l] & \Rfi & \verb!\Rfi! \\ % \Rey[l] & \Rey & \verb!\Rey! \\ % \Ri[l] & \Ri & \verb!\Ri! \\ % \Crr[l] & \Crr & \verb!\Crr! \\ % \Ro[l] & \Ro & \verb!\Ro! \\ % \Ros[l] & \Ros & \verb!\Ros! \\ % \Rou[l] & \Rou & \verb!\Rou! \\ % \Sc[l] & \Sc & \verb!\Sc! \\ % \Sh[l] & \Sh & \verb!\Sh! \\ % \Shi[l] & \Shi & \verb!\Shi! \\ % \So[l] & \So & \verb!\So! \\ % \St[l] & \St & \verb!\St! \\ % \Ste[l] & \Ste & \verb!\Ste! \\ % \Stk[l] & \Stk & \verb!\Stk! \\ % \Sr[l] & \Sr & \verb!\Sr! \\ % \Stu[l] & \Stu & \verb!\Stu! \\ % \Sv[l] & \Sv & \verb!\Sv! \\ % \Ta[l] & \Ta & \verb!\Ta! \\ % \Ur[l] & \Ur & \verb!\Ur! \\ % \Va[l] & \Va & \verb!\Va! \\ % \vtH[l] & \vtH & \verb!\vtH! \\ % \Wa[l] & \Wa & \verb!\Wa! \\ % \Wal[l] & \Wal & \verb!\Wal! \\ % \Wea[l] & \Wea & \verb!\Wea! \\ % \We[l] & \We & \verb!\We! \\ % \Wei[l] & \Wei & \verb!\Wei! \\ % \Wo[l] & \Wo & \verb!\Wo! \\ % \Zd[l] & \Zd & \verb!\Zd! \\ % \bottomrule % \end{longtabu*} % % % \StopEventually{} % % \section{Implementation} % % \iffalse %<*package> % \fi % % \begin{macrocode} \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{dimnum} [2021/04/05 v1.0.1 Provides commands for Dimensionless numbers] \RequirePackage{amsmath} \RequirePackage{xifthen} \let\Pr\relax \newif\ifstartedinmathmode % \end{macrocode} % % \begin{macro}{\newdimnum} % \begin{macrocode} \newcommand{\newdimnum}[4]{% \expandafter\newcommand\csname #1\endcsname[1][]{% \ifthenelse{\equal{##1}{}}{% \relax\ifmmode\startedinmathmodetrue\else\startedinmathmodefalse\fi% \ifstartedinmathmode\operatorname{#2}\else#2\fi}{% \ifthenelse{\equal{##1}{s}}{\text{#3}}{% \ifthenelse{\equal{##1}{l}}{% \ifthenelse{\equal{#4}{}}{\text{#3}}{\text{#3 #4}}}{% \ifthenelse{\equal{#4}{}}{\text{#3}}{\text{#3 #4}}}% }% }% }% } % \end{macrocode} % \end{macro} % %\newdimnum{command}{symbol}{name}{identifier} % \begin{macrocode} \newdimnum{Ar}{Ar}{Archimedes}{number} \newdimnum{At}{A}{Atwood}{number} \newdimnum{Ba}{Ba}{Bagnold}{number} \newdimnum{Be}{Be}{Bejan}{number} \newdimnum{Bm}{Bm}{Bingham}{number} \newdimnum{Bi}{Bi}{Biot}{number} \newdimnum{Bl}{Bl}{Blake}{number} \newdimnum{Bs}{Bs}{Bodenstein}{number} \newdimnum{Bo}{Bo}{Bond}{number} \newdimnum{Br}{Br}{Brinkman}{number} \newdimnum{BK}{\ensuremath{N_{BK}}}{Brownell-Katz}{number} \newdimnum{Ca}{Ca}{Capillary}{number} \newdimnum{Cau}{C}{Cauchy}{number} \newdimnum{Ch}{Q}{Chandrasekhar}{number} \newdimnum{CoF}{\ensuremath{C_f}}{Coefficient of Frication}{} \newdimnum{Co}{Co}{Condensation}{number} \newdimnum{Dah}{Da}{Dahmköhler}{number} \newdimnum{Dar}{Da}{Darcy}{number} \newdimnum{De}{De}{Dean}{number} \newdimnum{Deb}{De}{Deborah}{number} \newdimnum{Cd}{\ensuremath{C_d}}{Drag Coefficient}{} \newdimnum{Du}{Du}{Dukhin}{number} \newdimnum{Ec}{Ec}{Eckert}{number} \newdimnum{Ek}{Ek}{Ekman}{number} \newdimnum{Ela}{El}{Elasticity}{number} \newdimnum{El}{El}{Elenbass}{number} \newdimnum{Eo}{Eo}{Eötvös}{number} \newdimnum{Er}{Er}{Ericksen}{number} \newdimnum{Eu}{Eu}{Euler}{number} \newdimnum{Fo}{Fo}{Fourier}{number} \newdimnum{Fr}{Fr}{Froude}{number} \newdimnum{Ga}{Ga}{Galilei}{number} \newdimnum{Go}{G}{Görtier}{number} \newdimnum{Gz}{Gz}{Graetz}{number} \newdimnum{Gr}{Gr}{Grashof}{number} \newdimnum{Ha}{Ha}{Hatta}{number} \newdimnum{Hg}{Hg}{Hagen}{number} \newdimnum{Ho}{H}{Hodgson}{number} \newdimnum{Ir}{Ir}{Iribarren}{number} \newdimnum{Ja}{Ja}{Jakob}{number} \newdimnum{Ka}{Ka}{Karlovitz}{number} \newdimnum{KC}{\ensuremath{K_C}}{Keulegan-Carpenter}{number} \newdimnum{Kn}{Kn}{Knudsen}{number} \newdimnum{Ku}{Ku}{Kutateladze}{number} \newdimnum{La}{La}{Laplace}{number} \newdimnum{Le}{Le}{Lewis}{number} \newdimnum{Ma}{Ma}{Mach}{number} \newdimnum{Mg}{Mg}{Marangoni}{number} \newdimnum{Mo}{Mo}{Morton}{number} \newdimnum{Nus}{Nu}{Nusselt}{number} \newdimnum{Oh}{Oh}{Ohnesorge}{number} \newdimnum{Pe}{Pe}{Péclet}{number} \newdimnum{pH}{pH}{pH}{} \newdimnum{Po}{Po}{Poiseuille}{constant} \newdimnum{Pr}{Pr}{Prandtl}{number} \newdimnum{Ra}{Ra}{Rayleigh}{number} \newdimnum{Rey}{Re}{Reynolds}{number} \newdimnum{Ri}{Ri}{Richardson}{number} \newdimnum{Ro}{Ro}{Roshko}{number} \newdimnum{Ros}{Ro}{Rossby}{number} \newdimnum{Rou}{P}{Rouse}{number} \newdimnum{Sc}{Sc}{Schmidt}{number} \newdimnum{Sh}{Sh}{Sherwood}{number} \newdimnum{So}{S}{Sommerfield}{number} \newdimnum{St}{St}{Stanton}{number} \newdimnum{Ste}{Ste}{Stefan}{number} \newdimnum{Stk}{Stk}{Stokes}{number} \newdimnum{Sr}{Sr}{Strouhal}{number} \newdimnum{Stu}{N}{Stuart}{number} \newdimnum{Sv}{Sv}{Svelteness}{} \newdimnum{Ta}{Ta}{Taylor}{number} \newdimnum{Ur}{U}{Ursell}{number} \newdimnum{Va}{Va}{Vadasz}{number} \newdimnum{Wa}{Wa}{Wagner}{number} \newdimnum{Wea}{Wea}{Weaver flame speed}{number} \newdimnum{We}{We}{Weber}{number} \newdimnum{Wei}{Wi}{Weissenberg}{number} \newdimnum{Ab}{\ensuremath{V}}{Abbe}{number} \newdimnum{AC}{\ensuremath{\gamma}}{Activity}{coefficient} \newdimnum{Al}{\ensuremath{\alpha}}{Albedo}{} \newdimnum{Arr}{\ensuremath{\alpha}}{Arrhenius}{number} \newdimnum{AW}{\ensuremath{M}}{Atomic}{weight} \newdimnum{Rz}{\ensuremath{R_0}}{Basic reproduction}{number} \newdimnum{Blo}{\ensuremath{B_k}}{Blondeau}{number} \newdimnum{Jm}{\ensuremath{J_M}}{Chilton-Colburn Momentum J-factor}{} \newdimnum{Jh}{\ensuremath{J_H}}{Chilton-Colburn Heat J-factor}{} \newdimnum{Jd}{\ensuremath{J_D}}{Chilton-Colburn Mass J-factor}{} \newdimnum{CoD}{\ensuremath{R^2}}{Coefficient of Determination}{} \newdimnum{CoK}{\ensuremath{\mu_k}}{Coefficient of Kinetic Friction}{} \newdimnum{CoS}{\ensuremath{\mu_s}}{Coefficient of Static Friction}{} \newdimnum{CoV}{\ensuremath{\frac{\sigma}{\mu}}}{Coefficient of Variation}{} \newdimnum{Coh}{\ensuremath{{Coh}}}{Cohesion}{number} \newdimnum{CFL}{\ensuremath{C}}{Courant-Friedrich-Levy}{number} \newdimnum{Dr}{\ensuremath{\zeta}}{Damping}{ratio} \newdimnum{fD}{\ensuremath{f_D}}{Darcy friction}{factor} \newdimnum{ExT}{\ensuremath{\Theta_r}}{Excess Temperature}{coefficient} \newdimnum{fF}{\ensuremath{f}}{Fanning friction}{factor} \newdimnum{Fs}{\ensuremath{\alpha}}{Fine-structure constant}{} \newdimnum{FvK}{\ensuremath{\gamma}}{Föppl-von Kármán}{number} \newdimnum{Fre}{F}{Fresnel}{number} \newdimnum{Hav}{\ensuremath{P_H}}{Havnes}{parameter} \newdimnum{He}{He}{Helmholtz}{number} \newdimnum{Cl}{\ensuremath{C_L}}{Lift Coefficient}{} \newdimnum{LM}{\ensuremath{\chi}}{Lockhart-Martinelli}{parameter} \newdimnum{Lu}{S}{Lundquist}{number} \newdimnum{Mar}{\ensuremath{\mathcal{M}}}{Markstein}{number} \newdimnum{Peel}{\ensuremath{N_P}}{Peel}{number} \newdimnum{Pie}{\ensuremath{C}}{Pierce}{parameter} \newdimnum{Poi}{\ensuremath{\nu}}{Poisson's}{ratio} \newdimnum{Pf}{\ensuremath{{pf}}}{Power}{factor} \newdimnum{Pn}{\ensuremath{N_p}}{Power}{number} \newdimnum{Cp}{\ensuremath{C_P}}{Pressure Coefficient}{} \newdimnum{Rfi}{\ensuremath{n}}{Refractive index}{} \newdimnum{Crr}{\ensuremath{C_{rr}}}{Rolling resistance}{coefficient} \newdimnum{Shi}{\ensuremath{\tau_*}}{Shield's}{parameter} \newdimnum{vtH}{\ensuremath{i}}{Van 't Hoff}{factor} \newdimnum{Wal}{\ensuremath{j^*}}{Wallis}{parameter} \newdimnum{Wo}{\ensuremath{\alpha}}{Womersley}{number} \newdimnum{Zd}{\ensuremath{\beta}}{Zel'dovich}{number} \endinput % \end{macrocode} % % \iffalse % % \fi % % \Finale \endinput