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The First Solution for the Helical Flow of a Generalized Maxwell Fluid within Annulus of Cylinders by New Definition of Transcendental Function BNrrn
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Most articles choose the transcendental function B1rrn to define the finite Hankel transform, and very few articles choose B0rrn.
The derivations of B0rrn and B1rrn are also considered the same.
In this paper, we find that the derivative formulas for the transcend function BNrrn are different and prove the derivative formulas for B0rrn and B1rrn.
Based on the exact formulas of B0rrn and B1rrn, we keep on studying the helical flow of a generalized Maxwell fluid between two boundless coaxial cylinders.
In this case, the inner and outer cylinders start to rotate around their axis of symmetry at different angular frequencies and slide at different linear velocities at time t=0+.
We deduced the velocity field and shear stress via Laplace transform and finite Hankel transform and their inverse transforms.
According to generalized G and R functions, the solutions we obtained are given in the form of integrals and series.
The solution of ordinary Maxwell fluid has been also obtained by solving the limit of the general solution of fractional Maxwell fluid.
American Psychological Association (APA)
Wang, Fang& Liu, Jinling. 2020. The First Solution for the Helical Flow of a Generalized Maxwell Fluid within Annulus of Cylinders by New Definition of Transcendental Function BNrrn. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1201893
Modern Language Association (MLA)
Wang, Fang& Liu, Jinling. The First Solution for the Helical Flow of a Generalized Maxwell Fluid within Annulus of Cylinders by New Definition of Transcendental Function BNrrn. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1201893
American Medical Association (AMA)
Wang, Fang& Liu, Jinling. The First Solution for the Helical Flow of a Generalized Maxwell Fluid within Annulus of Cylinders by New Definition of Transcendental Function BNrrn. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1201893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201893