Paper Info
Title
MHD flow and heat transfer analysis of fractional Oldroyd-B nanofluid between two coaxial cylinders.
Abstract
In previous study on the flow of fractional viscoelastic fluid between two coaxial cylinders, due to the complexity of computation, researchers commonly assume that the flow area is a rectangular pipe. This paper studies two-dimensional magnetohydrodynamic (MHD) flow and heat transfer of fractional Oldroyd-B nanofluid between two coaxial cylinders with variable pressure. The boundary layer fractional cylindrical governing equations are firstly formulated and derived. Meanwhile, the numerical solutions are obtained by using the newly developed finite difference method combined with L1-algorithm, whose validity is confirmed by the comparison with the exact solution constructed. Results show that the fractional derivative parameters α1, β and exponent parameter δ related to the wall temperature have significant effects on velocity and temperature fields. Specifically, the velocity decreases with the augment of α1, but increases as β rises up. The temperature profiles intersect each other for different δ. Meanwhile, increasing δ leads to an increase in temperature near the wall of inner tube, but a decline near the outer cylinder, which demonstrates increasing exponent parameter can enhance heat transfer.
Year
DOI
Venue
2019
10.1016/j.camwa.2019.05.013
Computers & Mathematics with Applications
Keywords
Field
DocType
Oldroyd-B nanofluid,Fractional derivative,Two-dimensional flow,Periodic oscillation,Coaxial cylinder
Magnetohydrodynamic drive,Cylinder (engine),Coaxial,Mathematical analysis,Heat transfer,Boundary layer,Fractional calculus,Finite difference method,Mathematics,Nanofluid
Journal
Volume
Issue
ISSN
78
10
0898-1221
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Yan Zhang1777123.70
Jinxia Jiang200.34
Y. Bai36213.59