caa a22 4500 445812192 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00419-011-0536-x doi (NATIONALLICENCE)springer-10.1007/s00419-011-0536-x RETRACTED ARTICLE: Flow of fractional Maxwell fluid between coaxial cylinders [Elektronische Daten] [C. Fetecau, Corina Fetecau, M. Jamil, A. Mahmood] This paper deals with the study of unsteady flow of a Maxwell fluid with fractional derivative model, between two infinite coaxial circular cylinders, using Laplace and finite Hankel transforms. The motion of the fluid is produced by the inner cylinder that, at time t=0+, is subject to a time-dependent longitudinal shear stress. Velocity field and the adequate shear stress are presented under series form in terms of the generalized G and R functions. The solutions that have been obtained satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Maxwell and Newtonian fluids are obtained as limiting cases of general solutions. Finally, the influence of the pertinent parameters on the fluid motion as well as a comparison between the three models is underlined by graphical illustrations. Springer-Verlag, 2011 Maxwell fluid nationallicence Fractional calculus nationallicence Coaxial cylinders nationallicence Velocity field nationallicence Time-dependent shear stress nationallicence Laplace and Hankel transforms nationallicence V ( r , t ) : Velocity field nationallicence S ( r , t ) : Extra-stress tensor nationallicence v ( r , t ) : Axial component of velocity field nationallicence τ ( r , t ) : Non-trivial shear stress nationallicence μ : The dynamic viscosity nationallicence λ : The relaxation time nationallicence ν : Kinematic viscosity nationallicence ρ : Density of the fluid nationallicence α : The fractional parameter nationallicence $${D_{t}^{\alpha}}$$ : Fractional differential operator nationallicence r , t , q : Variables nationallicence R 1, R 2 : Radii of inner and outer cylinders nationallicence a , b , c , d : Real/complex numbers nationallicence f : Constant nationallicence R a , b ( c , t ), G a , b , c (d, t ) : Generalized functions nationallicence $${\overline{v}(r,q), \overline{v}_{\rm H}(r_{n}, q)}$$ : Laplace and finite Hankel transforms of v(r, t) nationallicence $${\overline{\tau}(r,q)}$$ : Laplace transform of τ(r, t) nationallicence v M( r , t ), τ M( r , t ) : Velocity component and shear stress for classical Maxwell fluid nationallicence v N( r , t ), τ N( r , t ) : Velocity component and shear stress for classical Newtonian fluid nationallicence Fetecau C. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Fetecau Corina Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania aut Jamil M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Mahmood A. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1153-1163 0939-1533 81:8<1153 2011 81 419 https://doi.org/10.1007/s00419-011-0536-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0536-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fetecau C. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 700 1- Fetecau Corina Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania aut NATIONALLICENCE 700 1- Jamil M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 700 1- Mahmood A. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1153-1163 0939-1533 81:8<1153 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer