Volumetric compressors

Automatic valves: valve plate seat

Fig. 713/12/2024

P₁P₂V_o + V_c

Vφ∫dP + ΔE_k + ΔE_p + ΔW = 0

dP₀ + ΔE_k + ΔW = 0

Automatic valves: valve plate

Fig. 7131/12/2024

ẟφ = ∫ ωdφ + ΔE_k + ẟE_e + ẟE_p + ẟE_w + ẟW

ẟφ + ΔE_k + ẟW = 0

_ρd - _ρaf + Δ_Ek + 4w = 0

_ρaf - _ρd = ^{ΔEk + 4w} ∽ ^W2_ρ

2dV = ^πB2 dx = ^πB2 ż dt 4 4

dV = ^πd_o2 W dt 4

^πB2 ż dt = ^πd_oh W dt -----> W = ż^B 4 4_doh

2L = x(θ) + lcosβ + kcosθ + s = e + e + s

x(θ) = e(1 - cosθ) + k(1 - cosθ)

l_fb = lsinβ = ksinθ

sinβ = ^k/_l sinθ

x(θ) = l_e(1 - cosθ) + e [1 - √(1 - ^k2/_l² sin²θ)]

ẋ(θ) = ^dx/_dt = ^dx/_dθ ^dθ/_dt ω

Indicated working cycle

P_i - ∫pdV [J_cycle]

P_i = L_eu_e = L_eu

P_i - ṁi Ĺ = ^L_eu/_ṁi

ζ_is = c_pT₁(β^R_cp-1 - 1) = φ(T_2is-T₁)

q = _ζis/^ζ_i

ζ_i = c_p(T₂-T₁)

T₂ = T₁ + _ζi/^φ

Conventional cycle

δ₁ = _P1-P1’/^P₁

δ₂ = _P2’-P2/^P₂

Rotation coefficients

P_1’ = P₁(1-δ₁)

P_2’ = P₂(1+δ₂)

P₀v^α_u = const

pV^α_w* = const

u = const → P₀v^α_u* = const

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