Abstract：The single phase flow pressure drop through the cathode in a proton exchange membrane fuel cell is an important benchmark for online water management. However, there are few models of this pressure drop applicable to all operating conditions. The cathode pressure drop is found here to be a quadratic function of the current and stoichiometric ratio using experimental data for a 156 W fuel cell. Five parameters influencing the pressure drop are the current, stoichiometric ratio, stack temperature, inlet pressure, and inlet relative humidity. A model for this pressure drop is then developed that agrees within 10% with experiment results. This model can guide online diagnosis of water related faults.
李跃华, 裴普成, 吴子尧, 贾肖宁. 质子交换膜燃料电池阴极单相流压降模型及验证[J]. 清华大学学报（自然科学版）, 2018, 58(1): 43-49.
LI Yuehua, PEI Pucheng, WU Ziyao, JIA Xiaoning. Verification of a cathode pressure drop model for single phase flow in a proton exchange membrane fuel cell. Journal of Tsinghua University(Science and Technology), 2018, 58(1): 43-49.
徐华池, 裴普成, 吴子尧. 质子交换膜燃料电池氢气渗透电流及电子电阻检测方法[J]. 清华大学学报(自然科学版), 2016, 56(6):587-591.XU H C, PEI P C, WU Z Y. Hydrogen crossover current and electronic resistance detection in a PEM fuel cell[J]. Journal of Tsinghua University (Science and Technology), 2016, 56(6):587-591. (in Chinese)
LI H, TANG Y H, WANG Z W, et al. A review of water flooding issues in the proton exchange membrane fuel cell[J]. Journal of Power Sources, 2008, 178(1):103-117.
LU Z, KANDLIKAR S, RATH C, et al. Water management studies in PEM fuel cells, Part Ⅱ:Ex situ investigation of flow maldistribution, pressure drop and two-phase flow pattern in gas channels[J]. International Journal of Hydrogen Energy, 2009, 34(8):3445-3456.
RAMSCHAK E, FOUQUET N, BRANDSTARTTER H, et al. Online fuel cell monitoring and operating conditions identification including life time measurement[J]. Journal of Automotive Safety and Energy, 2011, 2(1):45-52.
PEI P C, LI Y H, XU H C, et al. A review on water fault diagnosis of PEMFC associated with the pressure drop[J]. Applied Energy, 2016, 173:366-385.
ANDERSON R, ZHANG L F, DING Y L, et al. A critical review of two-phase flow in gas flow channels of proton exchange membrane fuel cells[J]. Journal of Power Sources, 2010, 195(15):4531-4553.
KANDLIKAR S, SEE E, KOZ M, et al. Two-phase flow in GDL and reactant channels of a proton exchange membrane fuel cell[J]. International Journal of Hydrogen Energy, 2014, 39(12):6620-6636.
PEI P C, OUYANG M G, FENG W, et al. Hydrogen pressure drop characteristics in a fuel cell stack[J]. International Journal of Hydrogen Energy, 2006, 31(3):371-377.
SONG M C, PEI P C, ZHA H S, et al. Water management of proton exchange membrane fuel cell based on control of hydrogen pressure drop[J]. Journal of Power Sources, 2014, 267:655-663.
LOCKHART R, MARTINELLI R. Proposed correlation of data for isothermal two-phase, two-component flow in pipes[J]. Chemical Engineering Progress, 1949, 45(1):39-48.
CHISHOLM D. A theoretical basis for the Lockhart-Martinelli correlation for two-phase flow[J]. International Journal of Heat and Mass Transfer, 1967, 10(12):1767-1778.
BANERJEE R, HOWE D, MEJIA V, et al. Experimental validation of two-phase pressure drop multiplier as a diagnostic tool for characterizing PEM fuel cell performance[J]. International Journal of Hydrogen Energy, 2014, 39(31):17791-17801.
MAHARUDRAYYA S, JAYANTI S, DESHPANDE A. Pressure losses in laminar flow through serpentine channels in fuel cell stacks[J]. Journal of Power Sources, 2004, 138(1/2):1-13.
LI X G, SABIR I, PARK J. A flow channel design procedure for PEM fuel cells with effective water removal[J]. Journal of Power Sources, 2007, 163(2):933-942.
SUTERA S, SKALAK R. The history of Poiseuille's law[J]. Annual Review of Fluid Mechanics, 1993, 25:1-20.
WILKE C. A viscosity equation for gas mixtures[J]. The Journal of Chemical Physics, 1950, 18(4):517-519.
BUFFHAM B, MASON G, HESLOP M, et al. Perturbation viscometry of gas mixtures:Fitting a model to logarithmic viscosity gradients[J]. Chemical Engineering Science, 2002, 57:110-121.