“…Solid oxide fuel cell (SOFC) is an all-solid-state power generating equipment that can directly convert chemical energy in fuel into electricity via electrochemical reactions. 1 Because of its high efficiency and fuel flexibility (hydrogen, 1 methane, 2 carbon, 3,4 and even wheat straw 5 ), SOFC shows a good application prospect and attracts much research attention. In laboratory studies of SOFC, performance testing is commonly conducted NOMENCLATURE: d, diameter of the inner gas tube, cm; j, current density, A/m 2 ; j 0 , exchange current density, A/m 2 ; j ref , reference exchange current density, A/m; j TPB , electric current generated in unit TPB length, A/m; p ref , partial pressure at reference conditions, pa; p TPB , partial pressure at TPBs, pa; p, pressure of gas species, pa; u, velocity of gas flow, m/s; x, molar fraction; D, diameter of button cell, cm; E eq , equilibrium electrical potential difference, V; F, Faraday constant, 96 485 C/mol; H, vertical distance between anode surface and inlet of gas channel, cm; N, molar flux of gas species, mol/(m 2 s); R, gas constant, 8.314 J/(mol K); T, operating temperature, K; U, output voltage, V; V FR , flow rate of fuel gas Greek letters: ρ, density, kg/m 3 ; ϕ, electrical potential, V; μ, dynamic viscosity, Pa·s; κ, permeability, m 2 ; ε p , porosity of electrode; λ TPB , TPB length in unit volume (m/m 3 ); σ eff , effective conductivity, S/m; σ 0 , material intrinsic conductivity, S/m; Ψ, volume fraction; η local , local overpotential, V Subscripts: el, electronic conducting phase; io, ionic conducting phase; inlet, inlet of gas channel; local, local reaction sites; ref, reference conditions; TPB, triple-phase boundaries; H 2 , hydrogen; O 2 , oxygen Superscripts: a, anode side; c, cathode side upon button cells because of easy implementation and low cost.…”