Nomenclature per chapter

I can do it "manually" with the other nomenclature package: "nomentbl". You have to configure the tex compiler. I used Texstudio so I add an user command in:

Options > Configure Texstudio > Build > User commands then put these command in

makeindex -s nomentbl.ist -o %.nls %.nlo Normally, you have to do the following procedure to have nomenclature:

Compile > Make index > Recompile

The principle is the same: when you run a make index, Latex will generate an .nls file. Next time you compile, the nomenclature will appear.

So instead of run a second compile, all you need is create a file name nomen_chap0x then you copy the content in the .nls file into the nomen_chap0x then you put the command : input{nomen_chap0x}. When you compile, the nomenclature will appear in the section.

The important thing is you have to delete the .nls file and comment all of nomenclature in the chapter to avoid the same nomenclature's appearance in the next chapter.

In the second chapter, you have to create another nomenclature, used only for this chapter, and you repeat the procedure above

Her an mwe for what I'm talking about:

documentclass[openany]{book}

usepackage{booktabs}
usepackage{lipsum}
usepackage{setspace}
usepackage{amssymb, amsmath, mathtools}    % math formulations
usepackage{siunitx}
usepackage[intoc,noprefix]{nomentbl}
    makeatletter % to put nomenclature in the section range of the TOC
    defthenomenclature{%
        section*{nomname}
        if@intocaddcontentsline{toc}{section}{nomname}fi%
        nompreamble
        list{}{%
            labelwidthnom@tempdim
            leftmarginlabelwidth
            advanceleftmarginlabelsep
            itemsepnomitemsep
            letmakelabelnomlabel}}
    makeatother
    makenomenclature

begin{document}
    tableofcontents
chapter{blabla1}
section{Example 01}
lipsum[2]
begin{equation}
mathbf{J_i} =  - {D_i}left( {nabla} {c_i} + dfrac{{{z_i}F}}{{RT}}{c_i} {nabla} varphi  right)
label{eq505}
end{equation}
where $ mathbf{J_i} $ is the ion flux, $ D_i $ is the bulk diffusion coefficient of the ionic species, $ F $ is the Faraday constant, $ R $ is the universal gas constant and $ T $ is the temperature

nomenclature[A]{$ D_{i} $}{Bulk diffusion coefficient of the species}{si{squarem / s}}{}
nomenclature[A]{$ F $}{Faraday constant}{si{coulomb / mole}}{}
nomenclature[A]{$ R $}{ Universal gas constant}{si{J / kelvin mole}}{}
nomenclature[A]{$ T $}{Temperature}{si{kelvin}}{}
nomenclature[A]{$ z $}{Charge number of the ionic species }{}{}
nomenclature[A]{$ J $}{ Flux of the ionic species}{si{mole / m^2 s}}{}
nomenclature[G]{$ varphi $}{Total electric potential}{si{volt}}{}
input{nomen_chap1}
chapter{blabla2}
section{Example 02}
lipsum[1]
The Ohm's law:
begin{equation}
R_{s}= frac{U}{I}
end{equation}
where $ R_s $ is the resistance (si{ohm}), $ U $ is the voltage (si{volt}) and $ I $ is the electric current (si{ampere})
nomenclature[A]{$ R_s $}{Resistance}{si{ohm}}{}
nomenclature[A]{$ U $}{Voltage}{si{volt}}{}
nomenclature[A]{$ I $}{Electric current}{si{ampere}}{}
input{nomen_chap2}
end{document}

Here is the results:

I also put the entire mwe folder fmi: enter link description here