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Unsteady mhd flow of a viscoelastic fluid with the fractional burgers' model
Other Title(s)
الجريان اللامستقر في حقل مغناطيسي لمائع لزج من النمط بيركر ذو المشتقات الكسرية
Author
Source
Issue
Vol. 53, Issue 1 (31 Mar. 2012)9 p.
Publisher
University of Baghdad College of Science
Publication Date
2012-03-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
ن هدف هذا البحث هو دراسة تأثيرات حقل مغناطيسي على التدفق للامستقر بين صفيحتين متوازية لمانع لزج بنموذج بيركر ذو المشتقات الكسرية.
حساب التفاضل و التكامل الكسري قد استخدم لكتابة معادلات الحركة.
باستخدام تحويلات فورية و لابلاس حصلنا على الحل المضبوط لكل من حقل أخيرا، تأثير المعلمات علىB نحصل على الحل لمائع أولدرويد من النط =B =1 a السرعة و إجهاد القص.
عندما كل من حقل السرعة و إجهاد القص قد درست من خلال الإيضاحات التخطيطية.
Abstract EN
The aim of this paper is to study the effects of a magnetic field on unsteady flow of a viscoelastic fluid with the fractional Burgers' model between two parallel plates The fractional calculus approach is introduced to establish the constitutive relationship of the viscoelastic fluid.
Closed form solutions for velocity and shear stress are obtained by using the finite Fourier sine transform and discrete Laplace transform of the sequential fractional derivatives.
For α = β = 1 the solution that are obtained are going corresponding to ordinary Oldroyd-B fluid.
Finally, the effect of the material parameters on the velocity profile and shear stress profile spotlighted by means of the graphical illustrations.
American Psychological Association (APA)
Abd al-Hadi, Ahmad Mawlud. 2012. Unsteady mhd flow of a viscoelastic fluid with the fractional burgers' model. Iraqi Journal of Science،Vol. 53, no. 1.
https://search.emarefa.net/detail/BIM-308258
Modern Language Association (MLA)
Abd al-Hadi, Ahmad Mawlud. Unsteady mhd flow of a viscoelastic fluid with the fractional burgers' model. Iraqi Journal of Science Vol. 53, no. 1 (2012).
https://search.emarefa.net/detail/BIM-308258
American Medical Association (AMA)
Abd al-Hadi, Ahmad Mawlud. Unsteady mhd flow of a viscoelastic fluid with the fractional burgers' model. Iraqi Journal of Science. 2012. Vol. 53, no. 1.
https://search.emarefa.net/detail/BIM-308258
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-308258