Analytical Solutions of Fractional Walter’s B Fluid with Applications
Joint Authors
al-Mdallal, Q. M.
Khan, Ilyas
Abro, Kashif Ali
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Fractional Walter’s Liquid Model-B has been used in this work to study the combined analysis of heat and mass transfer together with magnetohydrodynamic (MHD) flow over a vertically oscillating plate embedded in a porous medium.
A newly defined approach of Caputo-Fabrizio fractional derivative (CFFD) has been used in the mathematical formulation of the problem.
By employing the dimensional analysis, the dimensional governing partial differential equations have been transformed into dimensionless form.
The problem is solved analytically and solutions of mass concentration, temperature distribution, and velocity field are obtained in the presence and absence of porous and magnetic field impacts.
The general solutions are expressed in the format of generalized Mittag-Leffler function MΩ2,Ω3Ω1χ and Fox-H function Hp,q+11,p satisfying imposed conditions on the problem.
These solutions have combined effects of heat and mass transfer; this is due to free convections differences between mass concentration and temperature distribution.
Graphical illustration is depicted in order to bring out the effects of various physical parameters on flow.
From investigated general solutions, the well-known previously published results in the literature have been recovered.
Graphs are plotted and discussed for rheological parameters.
American Psychological Association (APA)
al-Mdallal, Q. M.& Abro, Kashif Ali& Khan, Ilyas. 2018. Analytical Solutions of Fractional Walter’s B Fluid with Applications. Complexity،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1136026
Modern Language Association (MLA)
al-Mdallal, Q. M.…[et al.]. Analytical Solutions of Fractional Walter’s B Fluid with Applications. Complexity No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1136026
American Medical Association (AMA)
al-Mdallal, Q. M.& Abro, Kashif Ali& Khan, Ilyas. Analytical Solutions of Fractional Walter’s B Fluid with Applications. Complexity. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1136026
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136026