The fractional equation of motion for fluid dynamics using Caputo's definition

العناوين الأخرى

معادلة الحركة الكسرية لديناميكا الموائع باستخدام تعريف كابوتو

مقدم أطروحة جامعية

al-Fuqaha, Rabiah Ahmad

مشرف أطروحة جامعية

Jaradat, Imad Khalid Yusuf

أعضاء اللجنة

al-Jarabah, Ala Abd Rabbih
al-Shar, Muhammad Abd al-Karim
al-Nawafilah, Khalid Isa

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الفيزياء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2016

الملخص الإنجليزي

In this work, the Lagrangian density was rewritten by using Caputo's fractional derivative, and from the fractional variational principle the fractional Euler-Lagrangian equation was obtained to find the equations of motion.

From the fractional Lagrangian density, the fractional Hamiltonian density was also obtained then we got the fractional Hamiltonian equations, and the energy-stress tensor was derived from the Noether's theorem in fractional form.

The Lagrangian densities was reformulated for fluid fields: single fluid, two mixture fluids, perfect fluid and ideal hydrodynamics in rotating frame, by using Caputo's fractional derivative, then from the fractional Euler-Lagrangian equation the equations that described the motion of fluid in fractional form were obtained .

After that, the Hamiltonian densities and the energy-stress tensors were obtained in fractional form from the fluid Lagrangian densities.

From these Hamiltonian densities the Hamiltonian equations of motion for the fluid in fractional form were also obtained.

The results in fractional form were compared with those in the classical form that were reached earlier, the classical equations were found to be special case from the fractional form.

التخصصات الرئيسية

الفيزياء

عدد الصفحات

73

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-749485