Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate

Authors:
Corina Fetecau;M. Athar;C. Fetecau
Affiliations:
Department of Theoretical Mechanics, Technical University of Iasi, Iasi R-6600, Romania;Abdus Salam School of Mathematical Sciences GC University, Lahore, Pakistan;Abdus Salam School of Mathematical Sciences GC University, Lahore, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 0
Cited 6

Unsteady MHD Couette flow of a generalized Oldroyd-B fluid with fractional derivative

Computers & Mathematics with Applications
Unsteady flow and heat transfer of a generalized Maxwell fluid due to a hyperbolic sine accelerating plate

Computers & Mathematics with Applications
Translational flows of an Oldroyd-B fluid with fractional derivatives

Computers & Mathematics with Applications
New exact analytical solutions for Stokes' first problem of Maxwell fluid with fractional derivative approach

Computers & Mathematics with Applications
MHD flow and heat transfer of a generalized Burgers' fluid due to an exponential accelerating plate with the effect of radiation

Computers & Mathematics with Applications
Exact solutions for MHD flow of generalized Oldroyd-B fluid due to an infinite accelerating plate

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Maxwell fluid are determined using Fourier sine and Laplace transforms. They are presented as a sum of the Newtonian solutions and the corresponding non-Newtonian contributions. The similar solutions for Maxwell and Newtonian fluids, performing the same motion, are obtained as limiting cases of our general results. Graphical illustrations show that the velocity profiles corresponding to a generalized Maxwell fluid are going to that for an ordinary Maxwell fluid if @a-1.