مطالعه عددی تأثیر پدیده هال بر جریان دو بعدی مافوق صوت در ژنراتور مگنتوهیدرودینامیک

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه پدافند هوایی خاتم الانبیاء (ص)

2 دانشگاه کاشان

3 دانشگاه تربیت مدرس

چکیده

در تحقیق حاضر، جریان هوای مافوق صوت دو بعدی در یک ژنراتور هیدرودینامیک مغناطیسی )ام.اچ.دی( به صورت عددی مورد مطالعه قرار گرفته و اثر هال و هندسه بر این جریان بررسی شده است. این جریان به صورت گاز کامل، پایا و تراکم‌پذیر و با عدد رینولدز مغناطیسی پایین در یک کانال دو بعدی با چهار جفت الکترود و هندسه‌های مختلف شامل کانال‌هایی با سطح مقطع ثابت، همگرا واگرا و ترکیبی واگرا-ثابت، به عنوان مدل ژنراتور مگنتوهیدرودینامیک فارادی مورد بررسی قرار گرفته است. نتایج نشان می‌دهد که زاویه ماخ در کانال مستقیم کمتر از بقیه هندسه‌ها بوده و توان و راندمان الکتریکی و فشار خروجی در کانال ثابت نسبت به سایر هندسه‌ها بالاتر می‌باشد. همچنین اثر هال که مانع کاهش سرعت جریان پلاسما در اثر میدان مغناطیسی می‌باشد، باعث کاهش فشار خروجی و گرمایش ژول و افزایش راندمان الکتریکی در همه کانال‌ها گردید. با توجه به امکان سنجی استفاده از ژنراتور مگنتوهیدرودینامیک در صنایع هوافضایی و موشکی، نتایج مختلف به ویژه گرمایش ژول حاصل از جریان گاز کریپتون و جریان هوا مقایسه شده‌اند تا در صورتی که افزایش دما در اثر گرمایش ژول گاز کریپتون کمتر با توان و راندمان الکتریکی بیشتر باشد این گاز به عنوان گاز مناسب برای استفاده در صنایع گفته شده پیشنهاد شود.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Numerical Study of the Effect of the Hall phenomenon on Supersonic flow in Magneto Hydro Dynamic Generator

نویسندگان [English]

  • Mohammad pourjafargholi 1
  • Ghanbar Ali Sheikhzadeh 2
  • Reza maddahian 3
1 Khatam University,tehran
3 Tarbiat modares University
چکیده [English]

In the present research, the 2D supersonic airflow in a magneto-hydrodynamic generator is studied numerically and the effect of the Hall effect and the geometry on this flow is investigated. The flow is investigated as a perfect gas, steady and compressible with a low magnetic Reynolds number  in a two-dimensional channel with four pairs of electrodes and various geometries including channels with constant cross-section, convergent, divergent and divergent-constant sections as Faraday generator. The results displayed that the Mach angle in the direct channel is less than the other geometries and the output electric power and electrical efficiency and output pressure in the fixed channel are higher than other geometries. Also, Hall effect, which prevents deceleration of the plasma flow due to the magnetic field, reduced the output pressure and joule heating and increased electrical efficiency in all channels. To evaluate the Feasibility of the use of magneto-hydrodynamic generators in aerospace and missile industries, various results of the krypton gas flow and airflow, in particular Joule heating was compared. The comparison is done that if the joule heating of the krypton gas was less and the output electric power and electrical efficiency of this gas was more, it recommends as a proper gas for using in the mentioned industries.

کلیدواژه‌ها [English]

  • Magneto-hydrodynamic generator
  • Hall effect
  • Maxwell equations
  • Magnetic interaction number
  • Joule heating
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