Title
The Solutions of Non-Integer Order Burgers' Fluid Flowing through a Round Channel with Semi Analytical Technique.
Abstract
The solutions for velocity and stress are derived by using the methods of Laplace transformation and Modified Bessel's equation for the rotational flow of Burgers' fluid flowing through an unbounded round channel. Initially, supposed that the fluid is not moving with t = 0 and afterward fluid flow is because of the circular motion of the around channel with velocity omega Rtp with time positively grater than zero. At the point of complicated expressions of results, the inverse Laplace transform is alternately calculated by "Stehfest's algorithm" and "MATHCAD" numerically. The numerically obtained solutions in the terms of the Modified Bessel's equations of first and second kind, are satisfying all the imposed conditions of given mathematical model. The impact of the various physical and fractional parameters are also indeed and so presented by graphical demonstrations.
Year
DOI
Venue
2019
10.3390/sym11080962
SYMMETRY-BASEL
Keywords
Field
DocType
Burgers' fluid,velocity field,shear stress,Laplace transform,modified Bessel function,Stehfest's algorithm,MATHCAD
Integer,Laplace transform,Vector field,Mathematical analysis,Circular motion,Fluid dynamics,Analytical technique,Inverse Laplace transform,Mathematics,Bessel function
Journal
Volume
Issue
Citations 
11
8
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
M. Imran100.68
D. L. C. Ching200.34
Rabia Safdar300.34
Ilyas Khan42525.71
M. A. Imran500.34
K. S. Nisar61512.15