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Linear Stability at the Onset of Rotating Convection in the Presence of Magnetic Field

المصدر: مجلة العلوم الإنسانية والتطبيقية
الناشر: الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم
المؤلف الرئيسي: Laqab, Ibtesam M. (Author)
مؤلفين آخرين: Alogab, Fathia M. (Co-Author)
المجلد/العدد: ع31
محكمة: نعم
الدولة: ليبيا
التاريخ الميلادي: 2018
الشهر: ديسمبر
الصفحات: 40 - 58
رقم MD: 1260913
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: HumanIndex
مواضيع:
كلمات المؤلف المفتاحية:
Chandrasekhar Number Q. | Convection | Rotating Convection | Magnetic Field | Rayleigh Number Ra | Stationary Convectionmber T. | Stability of Convection | Taylor Number T.
رابط المحتوى:
صورة الغلاف QR قانون
حفظ في:
المستخلص: The phenomena of convection are one of the most interesting problems in fluid dynamics. In this paper we shall study the case of linear stability of a rotating electrically conducting viscous layer heated from below lying in a uniform magnetic field based on the Boussinesq approximation. We restrict our study to the case when the direction of magnetic field and rotation are parallel; the discussion is focused on the case of large Taylor number T and Chandrasekhar number Q. Generally, magnetic field facilitates convection in a rapidly rotating frame breaking the rotational constraints. The numerical solutions for stationary convection showed that at fixed large T and as we increase Q, The critical Rayleigh number RAc stayed fixed until Q reached a special value, then as we increase Q, Rayleigh number continue to decrease reaching its minimum before starting to increase again, two minimum values are determined at large T. A further analysis done on the stationary convection is finding the critical value of Q which give the same critical Rayleigh number at large Taylor number T.