Xarunta saadka silsiladda qaboojinta Qaabka tooska ah

Waxaad maamushaa meesha raritaanka iyo kaydka qaboojinta ee xarun qaybinta alaabta u nugul heerkulka sida tallaalada. Albaab kasta oo furan wuxuu gelinayaa hawo diiran, gaadhi kasta oo safka ku jira waa rar sugaya, badeecaduna waa inay ku sii jirtaa inta u dhexeysa 2 °C iyo 8 °C.

Waxa aad baran doonto

Jile

Waqti 0 min
Heerkulka badeecadda 5.0 °C · Gawaarida sugaya 0 · Waqtiga sugitaanka gawaarida 0 min❄ 5.0 °C · 📦 5.0 °C · ⚡ 0.0 kW···✕✕✕🚚 0 · ⏱ 0 min
  • Albaabku madhan yahay
  • Wuu dejinayaa (albaabku furan yahay)
  • Gaadhi sugaya
  • Gaadhi qaboojiye oo jabay

Xakamayaal

Albaab kasta oo shaqaale leh wuxuu dejiyaa hal gaadhi mar keliya — wuxuuna gelinayaa hawo diiran inta uu furan yahay.

Gudaha xadka 2–8 °C. Hoose waxay bixisaa daahid badan laakiin tamar badan ayay isticmaashaa.

Laba compressor, mid walba 40 kW qaboojin.

Waxay yareysaa hawada diiran ee dhex gasha albaabada furan; marawaxadaha waxay isticmaalaan awood yar.

Wuxuu gaadhiga leh cutubka qaboojinta ee jabay u raraa safka hore.

Tilmaamayaal

Heerkulka badeecadda
5.0°C
caadi
Waqtiga sugitaanka gawaarida
0min
caadi
Weecidda heerkulka
0.00°C·h
caadi
Raarka gaadhiga qaboojiyaha ee jabay
4.0°C
caadi
Hawada qolka qaboojinta5.0 °C
Waqtiga shaqaalaha (saacadaha albaabada shaqaalaysan)0.5 h
Gawaarida sugaya0
Isticmaalka meesha raritaanka0 %
Awoodda qaboojinta0.0 kW

Isbeddel

Heerkulka badeecadda: — °C14.00.0

Xaaladaha dhibaatada

Heerka 1 · Compressor oo jabay maalin kulul

33 °C dibadda, gawaaridu si joogto ah ayay u imaanayaan, afar albaab ayaa u furan dejinta. Mid ka mid ah labada compressor ayaa dhowaan jabi doona. Ku hay tallaalada 2–8 °C gudahood.

  • Badeecaddu marna ha ka badnaan 8 °C
  • Hawada qolka qaboojintu marnaba kama sarreyso digniinta hore ee 7 °C (dejinta goobta — malo-awaal)
  • Celceliska sugitaanka gaadhiga ≤ 60 daqiiqo

Heerka 2 · Kor-u-kaca ciidda

Afar saacadood kadib bilowga maalin shaqo oo 14 saacadood ah, kor-u-kaca ciidaha ayaa bilaabma: toddoba saacadood, 7 gaadhi saacaddii ayaa ku yimaada waqtiyo ballansan — in ka badan laba jibaar 3-da caadiga ah — saddex albaab oo keliya ayaana shaqaalaysan. Darawallada ballansani waxay leeyihiin waqtiyo ballan, sidaas darteed celceliska sugitaanku waa inuu ahaadaa 20 daqiiqo ama ka yar. Kooxo raritaan oo dheeraad ah ayaa diyaar u ah in la yeedho, laakiin miisaaniyadda saacadaha dheeraadka ahi waxay daboolaysaa 68 saacadood oo albaab-shaqaalaysan ah maalintaas. Waqtigeeda ku fur albaabo ku filan — adigoon qolka qaboojinta karin galab 33 °C ah.

  • Celceliska sugitaanka gaadhiga ≤ 20 daqiiqo laga bilaabo kor-u-kaca (waqtiyada ballanta — xad adag)
  • Badeecaddu marna ha ka badnaan 8 °C
  • Celceliska awoodda qaboojinta ≤ 55 kW
  • Waqtiga shaqaalaha ≤ 68 saacadood oo albaab ah (miisaaniyadda saacadaha dheeraadka — malo-awaal)

Heerka 3 · Gaadhi qaboojiye oo jabay beerta

Laba iyo toban gaadhi ayaa horeba sugaya, laba albaab oo keliya ayaana shaqaalaysan. Kadibna qalabka qaboojinta ee gaadhi safka gadaashiisa ku jira ayaa dhinta — kuleyl 35 °C ah.

  • Raarka gaadhiga qaboojiyaha ee jabay marna ha ka badnaan 8 °C
  • Badeecadda kaydka marna ha ka badnaan 8 °C
  • Celceliska sugitaanka gaadhiga ≤ 90 daqiiqo

Aasaas — moodelka ka dambeeya tirooyinka

Xiriir kasta oo jilaha isticmaalo, iyo ilaha uu ka yimid. Mudnaanta lagu calaamadiyay malo-awaal waa hagaajin muunad ah.

Isu-dheelitirka kuleylka qolka qaboojinta: darbiyada iyo albaabada furani kuleylka way keenaan, qaboojintuna way saartaa.
C · dT/dt = UA·(T_out − T) + Q_door − Q_refrig[3][2]Malo-awaal: culeyska kuleylka, gudbinta darbiyada iyo albaabada, cabbirka compressor-ka iyo waqtiga adeegga waa qiyam muunad ah.
Hawada albaabada dhex gasha waxay kortaa tirada albaabada furan iyo farqiga heerkulka; daaha hawadu way yareeyaan.
Q_door = n_open · 0.6 · 1.2 kW/K · (T_out − T) · (1 − 0.7·curtain)[2]Malo-awaal: culeyska kuleylka, gudbinta darbiyada iyo albaabada, cabbirka compressor-ka iyo waqtiga adeegga waa qiyam muunad ah.
Waxtarka qaboojinta oo qayb ka ah xadka Carnot.
COP = 0.45 · T_evap / (T_cond − T_evap) [K][4]
Heerkulka xuubka badeecadu wuxuu raacaa hawada isagoo labo saac dib u dhacsan.
T_product(t+Δt) = T_room + (T_product − T_room)·e^(−Δt/2h)[3]
Weecid: darajo-saacadood oo ka baxsan xadka kaydinta 2–8 °C (aad u kulul ama barafoobid).
excursion = Σ max(0, T − 8, 2 − T) · Δt [°C·h][1]
Mudnaanta kale ee hawlgalka ee uu moodelku isticmaalo.
cold room 60 MJ/K, walls 0.6 kW/K · door open 60 % of unloading · air curtain −70 % infiltration, +3 kW fan per busy door · 2 × 40 kW compressors, −1 %/K above 32 °C · 4 kW per busy door (levellers, lights) · failed reefer τ = 3 h · scenario site settings: cold-room pre-alarm 7 °C, overtime budget 68 door-hours per 14 h day · booked trucks miss 5 % of slots · unloading Erlang-2Malo-awaal: culeyska kuleylka, gudbinta darbiyada iyo albaabada, cabbirka compressor-ka iyo waqtiga adeegga waa qiyam muunad ah.
Gawaarida aan ballanta lahayn waxay yimaadaan si aan kala horrayn lahayn, gawaarida ballansanna waqtiyada ballantooda (dhowr ka mid ah ayaa seega), albaabaduna isku mar ayay u adeegaan. Waqtiga sugitaanku wuxuu raacaa sharciga Little: safka oo loo qaybiyay gawaarida dhab ahaan laga dejiyay saacaddii saacaddii ugu dambeysay, sidaas darteed saf aan isbeddelin ma boodo marka heerka imaatinku isbeddelo.
arrivals ~ Poisson(λΔt) + booked slots (5 % no-show), service ~ Erlang-2 (mean 45 min), c staffed doors; X = n_busy / 45 min (smoothed, τ = 1 h); W_q = L_q / X[6][5]
Waqtiga shaqaalaha: albaab kasta oo shaqaalaysan waa la bixiyaa, gaadhi ha joogo ama yuusan joogin.
crew time = Σ c_staffed · Δt [door-hours]

Aan-kala-sooc: abuurahaha mulberry32 oo abuur leh; qaybinta la isticmaalay — isku-mid, tibaax (CDF rogan), caadi (Box–Muller), Poisson (Knuth). Abuurka waa la muujiyaa waana la wadaagi karaa.

Ilaha

  1. PAHO — Cold chain: vaccines are stored and transported between +2 °C and +8 °C — Pan American Health Organization
  2. ASHRAE Handbook — Refrigeration, ch. 24 Refrigerated-Facility Loads (door infiltration, Gosney–Olama model; air curtains) — ASHRAE, 2022
  3. F. P. Incropera et al. — Fundamentals of Heat and Mass Transfer: lumped capacitance — Wiley, 2011
  4. Y. A. Çengel, M. A. Boles — Thermodynamics: Carnot COP of refrigerators — McGraw-Hill, 2019
  5. J. D. C. Little — A Proof for the Queuing Formula L = λW — Operations Research 9(3), 1961
  6. D. Gross, C. M. Harris — Fundamentals of Queueing Theory (M/M/c) — Wiley, 2008

Yaa shaqadan ka shaqeeya

Moodel waxbarasho — looma isticmaalo go’aamo hawlgal. Goobaha dhabta ahi waxay joogto kasta u hagaajiyaan qalabkooda iyo xogtooda.