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العنوان
MHD non-newtonian unsteady flow in the presence of time dependent pressure gradient between two parallel porous walls
الناشر
Ain-Shams University,
المؤلف
Allam ,Hassan Fathy Ahmed.
هيئة الاعداد
باحث / حسن فتحي احمد علام
مشرف / احمد جلال السقا
مشرف / نبيل توفيق الضبع
مشرف / نبيل توفيق الضبع
الموضوع
Non-Newtonian fluids. Fluid mechanics. Cavitation. Mathematics
تاريخ النشر
, 1983
عدد الصفحات
70 p,:
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/1983
مكان الإجازة
جامعة عين شمس - كلية العلوم - الرياضة التطبيقية
الفهرس
Only 14 pages are availabe for public view

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from 94

Abstract

Our aim in this thesis, which consists of three chaapters is to study the Harrnetohydrodynamic non-Newtonian unsteady flow in the presence of time dependent pressure gradient between two parallel porous walls.
in chapter (I), we presented an introduction to the following topics :
1 - The previous studies on rheology.
2 - Rheolorrical classification of non-newtonian fluids.
3 - megnetohydrodynamics.
In chapter (II), we discussed the following prohlem :
”magnetohydrodynamic non-Newtonian unsteady flow with variable pressure gradient between two parallel porous walls.
By applying Laplace’s transform method in the case of the fmrst approximation of the Eyring Powell model we obtained the analytical solution for the velocity field in the form of an infinite seriesr To find the numerical results for the velocity field we used the computer,these results were com- pared with the Newtonian case and shown that the velocity field in Newtonian fluid was greater than that in the corre- sponding non-Newtonian fluid and for constant Reynold suction number Re. the difference between them decreases with increasinq Hartmann number IIa, while for constant Ha, this difference increases with decreasing Re By using a finite difference technique in the case of the second approximation, for the previous model, we obtained a numerical soluti~n for the velocity field.
if the first approximation parameter of non-newtonian fluid m is constant, the velocity field increases with incrincreasinq the second approximation parameter. of non-newtonian fluid fluid D, while for constant D I the velocity field decreases with increasing M.
in appendix (a), we clarified the finite difference technique, in append i x <B, B 1)’ computer prol1rarns were represented to find the numerical results for the veloc ity field and to solve the partial differential equation.