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العنوان
Hydrodynamics Interaction Between Two Spheres In Stokes Flow /
المؤلف
El-Naqeeb, Thanaa Mohamed Kamal.
هيئة الاعداد
مشرف / ثناء محمد كمال النقيب
مشرف / ا.د / عادل يحيي أبو المجد
مشرف / ا.د / عبد لله سعيد صباح
مشرف / ا.د / رودولف شمتس
مناقش / ا.د / عادل يحيي أبو المجد
الموضوع
Hydrodynamics - Mathematical models - Congresses.
تاريخ النشر
2012.
عدد الصفحات
128 P. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
1/1/2011
مكان الإجازة
جامعة الزقازيق - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this thesis we present a theory of low-Reynolds number axisymmetricflow about two spheres which is based on a novel, biharmonic stream function.With the new stream function we are able to calculate analytically the forces necessary to maintain the motion of the spheres. In this work the mathematical theory of the biharmonic stream function is developed.
We generalize and complete previous studies of axisymmetric two-sphereflow problems in several ways. First, we suggest a slight conceptual improvement by considering from the beginning an inhomogeneous external flow, as generated, for example, by means of a localized external volume-force density. This allows us to identify easily the contributions from each sphere without being obliged to assume artificial deformations.