caa a22 4500 606167072 CHVBK 20210128100701.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10665-014-9748-8 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9748-8 Non-isothermal hydrophobicity-dependent two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell [Elektronische Daten] [M. Vynnycky, A. Gordon] In this paper, we extend a recent one-dimensional isothermal steady-state generalized Darcy model for two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell, so as to include the effect of heat transfer. As for the isothermal case, we arrive at either a fixed- or free-boundary problem, depending on the main problem parameters: inlet temperature ( $$T^\mathrm{in}$$ T in ), inlet water saturation ( $$s^\mathrm{in}$$ s in ), inlet relative humidity (RH), porous medium hydrophobicity and cathode overpotential ( $$\eta $$ η ). The inclusion of heat transfer is found to limit the range of values of $$\eta ,T^\mathrm{in}$$ η , T in and RH over which two-phase flow can occur, as compared to that predicted by the isothermal model. The ensuing non-isothermal two-phase flow model equations are then computed numerically, with particular care being required for the treatment of an integrably singular inter-phase mass transfer term. Springer Science+Business Media Dordrecht, 2014 Cathode nationallicence Gas diffusion layer nationallicence Heat transfer nationallicence Polymer electrolyte fuel cell nationallicence Two-phase flow nationallicence Vynnycky M. Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Republic of Ireland aut Gordon A. Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Republic of Ireland aut Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 123-146 0022-0833 92:1<123 2015 92 10665 https://doi.org/10.1007/s10665-014-9748-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9748-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vynnycky M. Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Republic of Ireland aut NATIONALLICENCE 700 1- Gordon A. Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Republic of Ireland aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 123-146 0022-0833 92:1<123 2015 92 10665