نوع مقاله : مقاله پژوهشی
نویسندگان
گروه فیزیک، دانشکده علوم پایه، دانشگاه گیلان، صندوق پستی: 1914-41635، رشت - ایران
چکیده
در این پژوهش، اثر اعمال هم‌زمان چرخش پلاسما و میدان مغناطیسی خارجی ایستا در پلاسمایی با تابعیت توانی چگالی بر آهنگ رشد ناپایداری رایلی - تیلور به صورت تحلیلی مطالعه شده است. پلاسمای مدنظر چینه‌ای تراکم‌ناپذیر است و بین دو صفحه‌ی z=0 و z=h محصور شده است. در رژیم آهنگ رشد خطی، رابطه‌ی پاشندگی برای مجموعه معادلات MHD ایده‌آل با اعمال اثر چرخش و شرایط مرزی مناسب استخراج شد. رابطه پاشندگی پایانی، تأثیر ترکیب هم‌زمان میدان مغناطیسی افقی و سرعت زاویه‌ای ثابت پلاسما را بر آهنگ رشد ناپایداری رایلی - تیلور به خوبی نشان می‌دهد. نتایج نشان می‌دهند که آهنگ رشد ناپایداری به مؤلفه افقی میدان مغناطیسی، چرخش پلاسما و هم‌چنین پارامتر بی‌بعد λ*بستگی دارد. بیشینه‌ی ناپایداری در مقدار 5/1-= λ*رخ می‌دهد. در مقایسه با حالت غیردورانی متناظر، نتایج اخیر نشان می‌دهد که ترکیب هم‌زمان چرخش و میدان مغناطیسی خارجی ایستا، مدیریت آهنگ رشد ناپایداری را بهبود می‌دهد.
کلیدواژه‌ها
عنوان مقاله [English]
The effect of rotation on the growth rate of magnetic Rayleigh-Taylor instability in stratified plasma with power-law density profile
نویسندگان [English]
- M.A. Masoumparast
- S. Khoshbinfar
Department of Physics, Faculty of Basic Sciences, Gilan University, P, P.O.BOX: 41635-1914, Rasht – Iran
چکیده [English]
In this research, the effect of simultaneous application of plasma rotation and static external magnetic field in a plasma with a power law density function on the growth rate of Rayleigh-Taylor instability (RTI) has been studied analytically. Plasma is incompressible and enclosed between two planes z=0 and z=h. In a linear growth rate regime, the dispersion relation for the ideal MHD equations was first derived by applying the rotation effect and appropriate boundary conditions. The final dispersion relation represents the effect of the simultaneous combination of the axial magnetic field and the constant angular velocity of the plasma on the RTI growth rate. The results show that the growth rate of instability depends on the horizontal component of the magnetic field, the plasma rotation, and also on the dimensionless parameter λ*. The maximum instability occurs at *=-1.5 compared to the corresponding non-rotational case. Recent results show that the simultaneous combination of rotation and static external magnetic field improves the management of instability growth rate.
کلیدواژه‌ها [English]
- Plasma rotation
- Axial magnetic field
- Ideal MHD equations
- Power law density gradient
- Magnetic Rayleigh-Taylor instability
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