Based on the comprehensive consideration of the characteristics of gas-solid phase heat conduction and convection heat transfer, the mathematical model describes the system of hydrogen compressor under different working conditions by using the finite volume method. The longitudinal section of the hydride layer was divided into 50×10-divided grids, and two-dimensional simulation was performed in each unit area. The process control equation is as follows.

When the equilibrium equation hydrogen and the alloy are in equilibrium, the equilibrium pressure Peq of the alloy can be <2>Peq= according to the experimental simulation. Exp(1) The five coefficients a1, a2, a3, a4, a5 in formula (1) have different values ​​in the hydrogen absorption process and the dehydrogenation process respectively. H/M is the number of hydrogen atoms in the hydride and the number of alloy atoms. ratio.

The energy equation and the state equation system are configured with a circular cylindrical reaction bed. The mass and energy transfer adopts a two-dimensional model, namely radial and axial, so the energy equation for the gas-solid phase is as follows.

Gas-phase continuous equation: 9(ερg)9θ+div(ρgU)=-m(2) Gas phase energy equation: 9(ερgCvTg)9θ+div(ρgCpUTg)=Δ(ελgΔTg)+hs,gA(Ts-Tg)+max (0,-m) CpTs(3) Solid phase mass equation: 9((1-ε)ρs)9θ=m(4) Solid-phase energy equation: 9((1-ε)ρsCsTs)9θ=Δ((1 - ε) λs ΔTs) + hs, gA (Tg - Ts) + max (0, m) CpTg + m ΔH (5) Momentum equation using the form of the porous media Darcy law: Ug = - KμggradDDD → (Pg) (6) hydrogenation / The kinetic equation of the dehydrogenation reaction can be expressed as m=kabexp(-EabRuTs)ln(PgPeq)(ρss-ρs)(7)m=kdexp(-EdRuTs)Pg-PeqPeqρs(8) at the time of ρ+9θ, hydrogen output The total number of moles is ng, θ + 9θ = ng, and θ + nd (9) assumes that the temperature at which hydrogen is released is equal to the average temperature in the reaction bed during a certain time interval, thus: Tg, θ + 9θ = ng, θTg, θCg, θ+ndTd, θCg, θ(ng, θ+nd)Cg, θ+9θ(10) Then calculate the exhaust pressure according to the gas state equation: Pd=Zng, θ+9θRuTg, θ+9θV(11 Where: V is the total volume of hydrogen space, including the reaction bed

The cross-grid is used to discretize the above model, and the velocity and pressure fields are separately solved by the pressure correction method <6>.

Conclusion Through the above analysis, the following conclusions can be drawn: (1) Given the final pressure ratio, as the temperature difference between the cold and heat source temperatures increases, the sensible heat heating required for the reaction bed increases, resulting in a decrease in compressor efficiency. The cold source temperature is below 285K, and the efficiency increase is small. Continued reduction of the cold source temperature will result in a decrease in efficiency. (2) When the thermal conductivity of the alloy is increased to about 715 W/mK, the efficiency is improved. However, when the thermal conductivity is increased, the efficiency increase is small. The variation of the convective heat transfer coefficient is similar.

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