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العنوان
Magnetohydrodynamic stability of self-gravitating streaming fluid cylinder \
المؤلف
Mohamed, Rania Kamal Khamis.
هيئة الاعداد
باحث / رانية كمال خميس محمد
مشرف / سامية سعيد العزب
مشرف / الفيصل عبد الحميد محمد حسن
مشرف / زينب محمد ابراهيم اسماعيل
تاريخ النشر
2023.
عدد الصفحات
115 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2023
مكان الإجازة
جامعة عين شمس - كلية البنات - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

The Thesis is mostly focused on a some important stability problems about self-gravitating cylindrical fluid that is subjected to self-gravitational force and surrounded by a transversely variable magnetic field.
Chapter I, contains of the following elements: The concept of stability, stability techniques, fundamental equations, boundary conditions, review of both, the previous studies and the present study.
Chapter II, is discussed the stability magnetohydrodynamic self-gravitating of cylindrical fluid and streaming in one dimension. It is obtained the eigenvalue equation and the data are examined analytical and verified computationally. It is discovered that the magnetic field and capillary force have strongly stabilized effect on the model. The streaming has destabilized on the model, when, in accordance with limitations, the self-gravitating force stabilizes or destabilizes .
Chapter III, we have investigated the stability self-gravitational oscillation of flowing a cylindrical fluid enclosed by varying magnetic field. The Mathieu equation type of total second-order integro-differential equation is derived and the stable and un-stable domains are specified. It is founding that the capillary force is destabilized in just smaller axisymmetric region, but is stabilized in the otherwise perturbations modes, and also, discovered that the uniform magnetic field that penetrates the fluid is strongly stabilized, whereas the variable magnetic field that confines the fluid is destabilized in axisymmetric mode (m=0), but it is either so or not in the non-axisymmetric perturbation per the constraint.