{"id":128,"date":"2021-10-02T23:44:41","date_gmt":"2021-10-02T23:44:41","guid":{"rendered":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/?post_type=part&p=128"},"modified":"2021-10-03T06:14:32","modified_gmt":"2021-10-03T06:14:32","slug":"notation","status":"publish","type":"part","link":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/part\/notation\/","title":{"raw":"11 Notation","rendered":"11 Notation"},"content":{"raw":"\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Subscript denoting species A<\/em><\/td>\r\nA<\/em><\/td>\r\n<\/tr>\r\n
Subscript denoting species B<\/em><\/td>\r\nB<\/em><\/td>\r\n<\/tr>\r\n
Klinkenberg parameter (F\/L2<\/sup>)<\/td>\r\nb<\/em><\/td>\r\n<\/tr>\r\n
Moles of gas per unit volume (moles\/L3<\/sup>)<\/td>\r\nC<\/em><\/td>\r\n<\/tr>\r\n
Moles of species i<\/em> per unit volume (moles\/L3<\/sup>)<\/td>\r\nC<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Effective molecular diffusion coefficient (L2<\/sup>\/T)<\/td>\r\nD<\/em><\/td>\r\n<\/tr>\r\n
Molecular diffusion coefficient (L2<\/sup>\/T)<\/td>\r\nD<\/em>m<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Knudsen diffusion coefficient for species i<\/em> (L2<\/sup>\/T)<\/td>\r\n[latex]D_{i}^{K}[\/latex]<\/td>\r\n<\/tr>\r\n
Equimolar flux of species i<\/em> (moles\/L2<\/sup>T)<\/td>\r\nJ<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Intrinsic permeability (L2<\/sup>)<\/td>\r\nk<\/em><\/td>\r\n<\/tr>\r\n
Permeability to gas or effective gas permeability (L2<\/sup>)<\/td>\r\nk<\/em>g<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Apparent gas permeability (L2<\/sup>)<\/td>\r\nk<\/em>ga<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Knudsen number<\/td>\r\nK<\/em>n<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Coordinate tangent to path of motion (L)<\/td>\r\nl<\/em><\/td>\r\n<\/tr>\r\n
Ratio M<\/em>A<\/em><\/sub>\/M<\/em>B<\/em><\/sub><\/td>\r\nM<\/em>AB<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Ratio M<\/em>B<\/em><\/sub>\/M<\/em>A<\/em><\/sub><\/td>\r\nM<\/em>BA<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Molecular weight of specie i<\/em><\/td>\r\nM<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Molecular mass of specie i<\/em><\/td>\r\nm<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Porosity<\/td>\r\nn<\/em><\/td>\r\n<\/tr>\r\n
Number of molecules per unit volume (L-3<\/sup>)<\/td>\r\n\u00f1<\/em><\/td>\r\n<\/tr>\r\n
Mole flux of species i<\/em> (moles\/L2<\/sup>T)<\/td>\r\nN<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Mole flux of species i<\/em> due to diffusion (moles\/L2<\/sup>T)<\/td>\r\n[latex]N_{i}^{D}[\/latex]<\/td>\r\n<\/tr>\r\n
Diffusive flux for the gas as a whole (non-equimolar flux) (moles\/L2<\/sup>T)<\/td>\r\nN<\/em>D<\/em><\/sup><\/td>\r\n<\/tr>\r\n
Mole flux of gas due to viscous flow (moles\/L2<\/sup>T)<\/td>\r\nN<\/em>v<\/em><\/sup><\/td>\r\n<\/tr>\r\n
Mole flux of species i<\/em> due to advection in viscous flow (moles\/L2<\/sup>T)<\/td>\r\n[latex]N_{i}^{v}[\/latex]<\/td>\r\n<\/tr>\r\n
Pressure (F\/L2<\/sup>)<\/td>\r\np<\/em><\/td>\r\n<\/tr>\r\n
Mean pressure (F\/L2<\/sup>)<\/td>\r\n[latex]\\bar{p}[\/latex]<\/td>\r\n<\/tr>\r\n
Partial pressure of species i<\/em><\/td>\r\np<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Ideal gas law constant (FL)\/(moles temperature)<\/td>\r\nR<\/em><\/td>\r\n<\/tr>\r\n
Absolute temperature<\/td>\r\nT<\/em><\/td>\r\n<\/tr>\r\n
Volume flux (L\/T)<\/td>\r\nv<\/em><\/td>\r\n<\/tr>\r\n
Mean speed of species i<\/em> molecules (L\/T)<\/td>\r\n[latex]\\bar{v}_i[\/latex]<\/td>\r\n<\/tr>\r\n
Mole fraction of species i<\/em><\/td>\r\nx<\/em>i<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Vertical coordinate (L)<\/td>\r\nz<\/em><\/td>\r\n<\/tr>\r\n
Volume of gas per unit bulk volume<\/td>\r\n\u03b8<\/em>g<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Mean free path length (L)<\/td>\r\n\u03bb<\/em><\/td>\r\n<\/tr>\r\n
Characteristic pore dimension (L)<\/td>\r\n\u03bb<\/em>p<\/em><\/sub><\/td>\r\n<\/tr>\r\n
Molecular diameter (L)<\/td>\r\n\u03c3<\/em><\/td>\r\n<\/tr>\r\n
Dynamic viscosity (FT\/L2<\/sup>)<\/td>\r\n\u03bc<\/em><\/td>\r\n<\/tr>\r\n
Tortuosity<\/td>\r\n\u03c4<\/em><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Subscript denoting species A<\/em><\/td>\nA<\/em><\/td>\n<\/tr>\n
Subscript denoting species B<\/em><\/td>\nB<\/em><\/td>\n<\/tr>\n
Klinkenberg parameter (F\/L2<\/sup>)<\/td>\nb<\/em><\/td>\n<\/tr>\n
Moles of gas per unit volume (moles\/L3<\/sup>)<\/td>\nC<\/em><\/td>\n<\/tr>\n
Moles of species i<\/em> per unit volume (moles\/L3<\/sup>)<\/td>\nC<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Effective molecular diffusion coefficient (L2<\/sup>\/T)<\/td>\nD<\/em><\/td>\n<\/tr>\n
Molecular diffusion coefficient (L2<\/sup>\/T)<\/td>\nD<\/em>m<\/em><\/sub><\/td>\n<\/tr>\n
Knudsen diffusion coefficient for species i<\/em> (L2<\/sup>\/T)<\/td>\n\"D_{i}^{K}\"<\/td>\n<\/tr>\n
Equimolar flux of species i<\/em> (moles\/L2<\/sup>T)<\/td>\nJ<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Intrinsic permeability (L2<\/sup>)<\/td>\nk<\/em><\/td>\n<\/tr>\n
Permeability to gas or effective gas permeability (L2<\/sup>)<\/td>\nk<\/em>g<\/em><\/sub><\/td>\n<\/tr>\n
Apparent gas permeability (L2<\/sup>)<\/td>\nk<\/em>ga<\/em><\/sub><\/td>\n<\/tr>\n
Knudsen number<\/td>\nK<\/em>n<\/em><\/sub><\/td>\n<\/tr>\n
Coordinate tangent to path of motion (L)<\/td>\nl<\/em><\/td>\n<\/tr>\n
Ratio M<\/em>A<\/em><\/sub>\/M<\/em>B<\/em><\/sub><\/td>\nM<\/em>AB<\/em><\/sub><\/td>\n<\/tr>\n
Ratio M<\/em>B<\/em><\/sub>\/M<\/em>A<\/em><\/sub><\/td>\nM<\/em>BA<\/em><\/sub><\/td>\n<\/tr>\n
Molecular weight of specie i<\/em><\/td>\nM<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Molecular mass of specie i<\/em><\/td>\nm<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Porosity<\/td>\nn<\/em><\/td>\n<\/tr>\n
Number of molecules per unit volume (L-3<\/sup>)<\/td>\n\u00f1<\/em><\/td>\n<\/tr>\n
Mole flux of species i<\/em> (moles\/L2<\/sup>T)<\/td>\nN<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Mole flux of species i<\/em> due to diffusion (moles\/L2<\/sup>T)<\/td>\n\"N_{i}^{D}\"<\/td>\n<\/tr>\n
Diffusive flux for the gas as a whole (non-equimolar flux) (moles\/L2<\/sup>T)<\/td>\nN<\/em>D<\/em><\/sup><\/td>\n<\/tr>\n
Mole flux of gas due to viscous flow (moles\/L2<\/sup>T)<\/td>\nN<\/em>v<\/em><\/sup><\/td>\n<\/tr>\n
Mole flux of species i<\/em> due to advection in viscous flow (moles\/L2<\/sup>T)<\/td>\n\"N_{i}^{v}\"<\/td>\n<\/tr>\n
Pressure (F\/L2<\/sup>)<\/td>\np<\/em><\/td>\n<\/tr>\n
Mean pressure (F\/L2<\/sup>)<\/td>\n\"\bar{p}\"<\/td>\n<\/tr>\n
Partial pressure of species i<\/em><\/td>\np<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Ideal gas law constant (FL)\/(moles temperature)<\/td>\nR<\/em><\/td>\n<\/tr>\n
Absolute temperature<\/td>\nT<\/em><\/td>\n<\/tr>\n
Volume flux (L\/T)<\/td>\nv<\/em><\/td>\n<\/tr>\n
Mean speed of species i<\/em> molecules (L\/T)<\/td>\n\"\bar{v}_i\"<\/td>\n<\/tr>\n
Mole fraction of species i<\/em><\/td>\nx<\/em>i<\/em><\/sub><\/td>\n<\/tr>\n
Vertical coordinate (L)<\/td>\nz<\/em><\/td>\n<\/tr>\n
Volume of gas per unit bulk volume<\/td>\n\u03b8<\/em>g<\/em><\/sub><\/td>\n<\/tr>\n
Mean free path length (L)<\/td>\n\u03bb<\/em><\/td>\n<\/tr>\n
Characteristic pore dimension (L)<\/td>\n\u03bb<\/em>p<\/em><\/sub><\/td>\n<\/tr>\n
Molecular diameter (L)<\/td>\n\u03c3<\/em><\/td>\n<\/tr>\n
Dynamic viscosity (FT\/L2<\/sup>)<\/td>\n\u03bc<\/em><\/td>\n<\/tr>\n
Tortuosity<\/td>\n\u03c4<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"parent":0,"menu_order":11,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-128","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/pressbooks\/v2\/parts\/128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":6,"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/pressbooks\/v2\/parts\/128\/revisions"}],"predecessor-version":[{"id":202,"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/pressbooks\/v2\/parts\/128\/revisions\/202"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/wp\/v2\/media?parent=128"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/wp\/v2\/contributor?post=128"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/flux-equations-for-gas-diffusion-in-porous-media\/wp-json\/wp\/v2\/license?post=128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}