Jild 37 № 3 (2026): Iyul - sentyabr
99-105
2026-10-14
Ochiq kirish

Haroratning fazoviy-vaqt bo‘yicha o‘zgarishini hisobga olgan holda atmosferada ifloslantiruvchi moddalarning tarqalishini matematik modellashtirish

I.S. Nabiyeva
O.S. Juraboyeva

Qabul qilingan: 2026-10-14

Nashr etilgan: 2026-10-14

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Annotatsiya

Atmosferaning yerga yaqin qatlamida zararli moddalarning tarqalishini haroratning fazoviy-vaqt bo‘yicha o‘zgarishini hisobga olgan holda tavsiflovchi uch o‘lchovli model ishlab chiqilgan. Ifloslantiruvchi modda uchun konservativ shaklda yozilgan adveksiya–diffuziya tenglamasi haroratga bog‘liq gravitatsion cho‘kish oqimini hisobga olgan holda harorat (energiya) tenglamasi bilan birgalikda yechiladi. Sutherland qonuni bo‘yicha aniqlanadigan dinamik qovushqoqlik, havo zichligi, molekulyar diffuziya koeffitsiyenti va cho‘kish tezligi mahalliy haroratning funksiyalari sifatida qaraladi. Atmosferaning termik barqarorligi esa vertikal turbulent diffuziyada gradient Richardson soni va monoton barqarorlik funksiyasi orqali hisobga olinadi. Masala advektiv ko‘chishni oqimga qarshi approksimatsiya qiluvchi oshkor chekli hajmlar sxemasi va Courant–Friedrichs–Lewy sharti asosidagi birlashtirilgan vaqt qadami yordamida diskretlashtirilgan. Nuqtaviy manbalar hisoblash to‘riga bog‘liq bo‘lmagan massa sarfi ko‘rinishida berilgan, yer sirtidagi chegaraviy shart esa cho‘kkan massa miqdorini kuzatib boruvchi quruq cho‘kish jarayoni sifatida ifodalangan. Sxema analitik Gauss yechimi bilan taqqoslash orqali validatsiya qilingan hamda massaning mashina aniqligida saqlanishi, fazoviy to‘r va vaqt qadami bo‘yicha yaqinlashuv orqali verifikatsiyadan o‘tkazilgan. Ikki xil takrorlanuvchi rejim hisoblangan: kunduzgi beqaror holat (\(Ri<0\)) va tungi yer usti harorat inversiyasi (\(Ri>0\)). Inversiya sharoitida vertikal aralashish bir tartibdan ham ko‘proq kamayadi, ifloslantiruvchi modda esa yerga yaqin yupqa qatlamda to‘planib, ushbu qatlamdagi maksimal konsentratsiya kunduzgi qiymatdan taxminan uch baravar yuqori bo‘ladi. Shu bilan birga, chiqarilgan modda massasining atigi taxminan 18 % hududdan tashqariga ventilyatsiya orqali olib chiqiladi, kunduzgi sharoitda esa bu ko‘rsatkich qariyb 70 % ni tashkil etadi. Keltirilgan misol faqat namoyish xarakteriga ega bo‘lib, muayyan hudud uchun aniq prognoz sifatida qaralmasligi kerak.

Kalit so‘zlar

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Mualliflar haqida

I.S. Nabiyeva
irodamubina777@gmail.com
Toshkent Kimyo xalqaro universitetining Samarqand filiali
O.S. Juraboyeva
sayfullayevnajoraboyeva@gmail.com
Raqamli texnologiyalar va sun’iy intellektni rivojlantirish ilmiy-tadqiqot instituti

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Qanday iqtibos keltirish kerak

Haroratning fazoviy-vaqt bo‘yicha o‘zgarishini hisobga olgan holda atmosferada ifloslantiruvchi moddalarning tarqalishini matematik modellashtirish. (2026). “Mexanika Muammolari” O‘zbekiston Jurnali, 37(3), 99-105. https://pmjournal.uz/jour/article/view/29

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