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العنوان
Study about moving boundary value problems /
المؤلف
El Shamy, Ibrahim Ibrahim El-Metwaly.
هيئة الاعداد
باحث / Ibrahim Ibrahim El Metwaly El Shamy
مشرف / Mohamed Ahmed Anwer Elshehawey
مشرف / Abd El Hakeem Abu El Ftooh Abd El Naby
مناقش / N. T. Eldapaa
مناقش / M. A. Elshehawey
مناقش / K. S. A. Mekheimer
الموضوع
flux of fluid. non-uniform channel. inclined magnetic field. visco-plastic fluid. Hydro-magnetic flow. peristalsis. non-linear variable viscosity.
تاريخ النشر
2008.
عدد الصفحات
251 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2008
مكان الإجازة
جامعة دمياط - كلية العلوم - رياضيات
الفهرس
Only 14 pages are availabe for public view

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from 251

Abstract

This thesis is towards to analyze the fluid mechanics of some moving boundary problems. Of interest herein is the peristaltic transport of Newtonian and non-Newtonian fluids. The important applications of this thesis are to understand the chyme flow through the small intestine, urine in ureter and the fluid movement in fallopian tube. Also in this thesis we modified the equation of motion and the boundary conditions to describe the fluid motion with additional constant flux per unit volume to flow region. We study the effect of magnetic field and its direction on peristaltic motion of Newtonian fluid with non-linear variable viscosity through uniform tube. The results showed that increasing in the magnetic field and viscosity increase the pressure rise and friction force. Further, excess magnetic field slop, on horizontal, angle from 0o to 90o raises the pressure rise and the friction force. We determine the induced magnetic field that created when the Newtonian fluid, flow though non-uniform channel, subject to uniform magnetic field. We study the effect of constant additional flux per unit volume on the pressure rise, the friction force, trapping limit and the reflux for Newtonian fluid with a non-linear variable viscosity. A detailed analysis fluid flow through an inclined non-uniform tube using the power-law model is investigated with wall slip condition. We observe that the pressure rise decreases with increasing Knudsen number (slip parameter). Also, the effect of increasing inclined angle is to increase the pressure rise. A visco-plastic fluid flow through an inclined uniform tube by using Bingham model is investigated. The results show that for different values of yield stress, the pressure rise for Bingham fluid is greater than a Newtonian fluid. Further, the pressure rise for no-slip wall condition is greater than corresponding values at slip wall condition achieved. We study the peristaltic flow of Carreau fluid in an asymmetric channel in presence of magnetic field with phase difference and varying in the amplitude of waves progressed on walls. These models are serving to study the chyme flow through the small intestine, urine in the ureter and the movement in fallopian tube. We published a paper and we had got an accepted for anther paper in an international journals.