مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

شبیه‌‌سازی سه‌‌بعدی و غیر همدمای اختلاط در مقیاس مزوسکوپیک در میکروکانال الکترومغناطیس حاوی گاز یونیزه شده

نویسندگان
محمدرضا عربیار محمدی 1
احمدرضا رحمتی 2
حسین خراسانی زاده 3
1 دانشکده مهندسی مکانیک، دانشگاه صنعتی مالک اشتر، شاهین شهر، اصفهان
2 استادیار دانشگاه کاشان
3 استاد دانشگاه کاشان
چکیده
هدف از کار حاضر، ارائه یک مدل در روش شبکه بولتزمن برای شبیه‌‌سازی سه‌‌بعدی جریان غیرهم‌‌دما با سیال عامل رقیق گازی است. مدل مطالعاتی یک میکروکانال با مقطع مربع است که در دو انتهای کانال، اختلاف ولتاژ DC و روی دو دیواره جانبی میکروکانال (روبروی هم)، میدان مغناطیسی توسط آهنربا اعمال شده است. الکترودها روی دو دیواره‌ دیگر تعبیه شده و فرض جریان پایدار و سیال تراکم‌‌پذیر برقرار است و رفتار سیال در محدوده لغزشی (Kn=0.1) و گذرا (Kn=0.15) با هم مقایسه شده است. سیال نیوتنی و رسانای الکتریکی و مغناطیسی است. در دیواره، سرعت لغزشی و پرش دما لحاظ شده و اثر ضخامت لایه دوگانه الکتریکی و عدد هارتمن مورد بررسی قرار گرفته است. به دلیل غیرهم‌‌دما بودن فرآیند، معادله انرژی با میدان سرعت و مغناطیس همزمان حل شده و اثرات نیروهای برهم‌‌کنش لورنتس، الکتریکی و گرمایش الکتریکی به‌‌صورت عبارت مجزا در معادله شبکه بولتزمن وارد شده است. نتایج نشان‌‌ داد که اثر متقابل میدان الکتریکی محوری و میدان مغناطیسی عرضی، منجر به ماهیت سه‌‌بعدی جریان و اختلاط در حین پمپاژ می‌‌شود. سرعت لغزشی و پرش دما روی دیواره، نقش مهمی را در شکل‌‌گیری گردابه درون جریان سیال ایفا می‌‌کند و توزیع دما در عرض کانال از حالت متقارن خارج می‌‌شود. افت دبی ناشی از افزایش رقت سیال و انحراف فشار از حالت خطی در عرض و طول کانال به‌‌دلیل تراکم‌‌پذیری مشاهده شده است.
کلیدواژه‌ها
روش شبکه بولتزمن
شرط مرزی لغزشی
اختلاط
نیروی الکترومغناطیس
تراکم‌‌پذیری

موضوعات

عنوان مقاله English

A 3D simulation of Thermal mixing on mesoscopic scale in an electromagnetic microchannel containing ionized gas

نویسندگان English

mohammadreza arabyarmohammadi 1
Ahmad Rahmati 2
Hossein Khorasanizadeh 3
1 faculty of mechanical engineering, malekashtar university of technology, shahinshahr, isfahan
2 University of Kashan
3 Prof., Uni. of Kashan
چکیده English

The purpose of this work is to provide a model in lattice Boltzmann method for D simulating thermal rarified gas flows. The study model is a microchannel with a square cross section. The magnetic field flux was created by the magnets on two facing walls. The electrodes are embedded on the walls adjacent to that of the magnets and DC voltage is applied at both ends. Compressible fluid behavior is compared in slip (Kn =0.15) and transient (Kn =0.1) regimes. There are assumptions of laminar and steady flow. Newtonian fluid is electrically and magnetically conductive. Slip and temperature jump on the microchannel walls are considered and the effects of electric double layer thickness and changes of Hartmann number are studied. Since the ionic process is non-isothermal, energy equation is coupled with that of the velocity and the magnetic field and the effects of interaction forces of Lorentz, electric and electrothermal have been entered into Boltzmann equations in separate terms. The outcomes show the interaction between an axial electric field and a transverse magnetic field results in three-dimensional nature of the flow. Navier-Maxwell second order slip boundary condition imposed on the electromagnetic channel walls plays an important role in the vortices formation and the temperature distribution across the channel goes out of the symmetric state. Mass flow rate loss along the channel, resulting from the fluid rarefaction, and pressure deviation from linearity, across and along the channel axis because of the compressibility, was observed

کلیدواژه‌ها English

Lattice Boltzmann Method
Slip Boundary Condition
Mixing
Electromagnetic Force
Compressibility
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مهندسی مکانیک مدرس
دوره 18، شماره 6
مهر 1397
صفحه 230-239