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Oscillating Flows of Fractionalized Second Grade Fluid
Joint Authors
Rauf, Abdul
Jamil, Muhammad
Khan, Najeeb Alam
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-04
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
New exact solutions for the motion of a fractionalized (this word is suitable when fractional derivative is used in constitutive or governing equations) second grade fluid due to longitudinal and torsional oscillations of an infinite circular cylinder are determined by means of Laplace and finite Hankel transforms.
These solutions are presented in series form in term of generalized Ga,b,c(⋅,t) functions and satisfy all imposed initial and boundary conditions.
In special cases, solutions for ordinary second grade and Newtonian fluids are obtained.
Furthermore, other equivalent forms of solutions for ordinary second grade and Newtonian fluids are presented and written as sum of steady-state and transient solutions.
The solutions for Newtonian fluid coincide with the well-known classical solutions.
Finally, by means of graphical illustrations, the influence of pertinent parameters on fluid motion as well as comparison among different models is discussed.
American Psychological Association (APA)
Jamil, Muhammad& Khan, Najeeb Alam& Rauf, Abdul. 2012. Oscillating Flows of Fractionalized Second Grade Fluid. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-507226
Modern Language Association (MLA)
Jamil, Muhammad…[et al.]. Oscillating Flows of Fractionalized Second Grade Fluid. ISRN Mathematical Physics No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-507226
American Medical Association (AMA)
Jamil, Muhammad& Khan, Najeeb Alam& Rauf, Abdul. Oscillating Flows of Fractionalized Second Grade Fluid. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-507226
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507226