Study the differential cross-section of scattering potential (Yukawa, Coulomb and Square Well) around PEMFC

The objective of this work is to study the differential cross section (DCS) around-surface the electrode of proton exchange membrane (PEMFC) for stability and performance of PEMFC. For this considered a system of electrons proton and hydrogen particle around electrode formed around-surface electrode due to inlet of H2 and O2 in PEMFC system. After the particle formed around they go interaction and the region of interaction is defined by S-matrix theory. S-matrix formulation was formulated by Kroll and Watson (1973) for a low-frequency response. After formulation of DCS was calculated for possible three case around electrode of PEMFC. The three case is consideration of Yukawa potential, Coulomb potential and square well potential was calculated found that the DCS of Yukawa potential is less than coulomb potential, and coulomb potential DCS is less than the square well potential at the same interaction strength. The DCS for considered potential in this work ranges widely 10‒10 a. u. to 1.4×108 a. u. The DCS was studied for both electron and meson at an ideal using square well potential and found that the DCS for meson is greater than an electron, this is because of mass of meson is greater than an electron. The DCS found stable in higher energy range and higher scattering angle indicate system of PEMFC is stable and this may imply to remove the complexity and stability of PEMFC system when the system of PEMFC single cell is design with consideration of DCS and diffusion angle of inlet fuel inside PEMFC.