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(2007)
Integral Transforms and Their Applications (2nd edn)
L. Palade, P. Attané, R. Huilgol, B. Mena (1999)
Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative modelsInternational Journal of Engineering Science, 37
C. Lorenzo, T. Hartley (2008)
Generalized functions for the fractional calculus.Critical reviews in biomedical engineering, 36 1
R. Bandelli, K. Rajagopal (1995)
Start-up flows of second grade fluids in domains with one finite dimensionInternational Journal of Non-linear Mechanics, 30
N. Makris, G. Dargush, M. Constantinou (1993)
Dynamic Analysis of Generalized Viscoelastic FluidsJournal of Engineering Mechanics-asce, 119
T. Ting (1963)
Certain non-steady flows of second-order fluidsArchive for Rational Mechanics and Analysis, 14
A. Mahmood, C. Fetecau, N. Khan, M. Jamil (2010)
Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylindersActa Mechanica Sinica, 26
(1966)
Non-steady helical flow of a visco-elastic liquid
C. Fetecau, C. Fetecau, M. Jamil, A. Mahmood (2012)
Retraction Note: Flow of fractional Maxwell fluid between coaxial cylindersArchive of Applied Mechanics, 82
Fetecau Corina, C. Fetecau, M. Imran (2009)
AXIAL COUETTE FLOW OF AN OLDROYD-B FLUID DUE TO A TIME-DEPENDENT SHEAR STRESS, 61
C. Fetecau, M. Imran, C. Fetecau, I. Burdujan (2010)
Helical flow of an Oldroyd-B fluid due to a circular cylinder subject to time-dependent shear stressesZeitschrift für angewandte Mathematik und Physik, 61
I. Siddique, Zamra Sajid (2011)
Exact solutions for the unsteady axial flow of Non-Newtonian fluids through a circular cylinderCommunications in Nonlinear Science and Numerical Simulation, 16
C. Fetecau, A. Mahmood, M. Jamil (2010)
EXACT SOLUTIONS FOR THE FLOW OF A VISCOELASTIC FLUID INDUCED BY A CIRCULAR CYLINDER SUBJECT TO A TIME DEPENDENT SHEAR STRESSCommunications in Nonlinear Science and Numerical Simulation, 15
S. Samko, A. Kilbas, O. Marichev (1993)
Fractional Integrals and Derivatives: Theory and Applications
H. Jin H. T. Qi (2009)
Unsteady helical flow of a generalized Oldroyd-B fluid with fractional derivativeNonlinear Anal. Real World Appl., 10
C. Fetecau, M. Imran, C. Fetecau (2011)
Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Due to a Time-Dependent CoupleZeitschrift für Naturforschung A, 66
Dian Yang, K. Zhu (2010)
Start-up flow of a viscoelastic fluid in a pipe with a fractional Maxwell's modelComput. Math. Appl., 60
H. Qi, Mingyu Xu (2007)
Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channelMechanics Research Communications, 34
L. Debnath (2007)
Integral Transforms and Their Applications
Yu Zhao-sheng, Lin Jianzhong (1998)
Numerical research on the coherent structure in the viscoelastic second-order mixing layersApplied Mathematics and Mechanics, 19
C. Fetecau, A. Mahmood, C. Fetecau, D. Vieru (2008)
Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinderComput. Math. Appl., 56
C. F. Lorenzo (1999)
209424 (1999)
C. Fetecau, D. Vieru, C. Fetecau (2011)
Effect of side walls on the motion of a viscous fluid induced by an infinite plate that applies an oscillating shear stress to the fluidCentral European Journal of Physics, 9
C. Fetecau C. Fetecau (2011)
Flow of fractional Maxwell fluid between coaxial cylindersArch. App. Mech., 81
M. Jamil, A. Rauf, C. Fetecau, N. Khan (2011)
Helical flows of second grade fluid due to constantly accelerated shear stressesCommunications in Nonlinear Science and Numerical Simulation, 16
Qiao Haitao, X. Mingyu (2009)
Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivativeApplied Mathematical Modelling, 33
Masood Khan, S. Ali, C. Fetecau, H. Qi (2009)
Decay of potential vortex for a viscoelastic fluid with fractional Maxwell modelApplied Mathematical Modelling, 33
Dengke Tong, Yusong Liu (2005)
Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipeInternational Journal of Engineering Science, 43
Yaqing Liu, Fenglei Zong, Jinbin Dai (2014)
Unsteady Helical Flow of a Generalized Oldroyd-B Fluid with Fractional Derivative, 5
(1971)
Unsteady flow of an elasticoviscous liquid in a straight pipe of circular cross-section
Dengke Tong, Ruihe Wang, Heshan Yang (2005)
Exact solutions for the flow of non-Newtonian fluid with fractional derivative in an annular pipeScience in China Series G: Physics, Mechanics and Astronomy, 48
Shaowei Wang, Mingyu Xu (2009)
Axial Couette flow of two kinds of fractional viscoelastic fluids in an annulusNonlinear Analysis-real World Applications, 10
I. Podlubny (1999)
Fractional Differential Equations
Abstract The unsteady flow of an incompressible fractional Maxwell fluid between two infinite coaxial cylinders is studied by means of integral transforms. The motion of the fluid is due to the inner cylinder that applies a time dependent torsional shear to the fluid. The exact solutions for velocity and shear stress are presented in series form in terms of some generalized functions. They can easily be particularized to give similar solutions for Maxwell and Newtonian fluids. Finally, the influence of pertinent parameters on the fluid motion, as well as a comparison between models, is highlighted by graphical illustrations.
"Acta Mechanica Sinica" – Springer Journals
Published: Apr 1, 2012
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