2011
DOI: 10.1016/j.cnsns.2010.07.004
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Unsteady helical flows of Oldroyd-B fluids

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Cited by 76 publications
(37 citation statements)
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“…In another attempt, Fetecau et al [6] discussed some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder. Unsteady helical flows of Oldroyd-B fluids were investigated by Jamil et al [22]. Hayat et al [12] investigated the hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system.…”
Section: Introductionmentioning
confidence: 98%
“…In another attempt, Fetecau et al [6] discussed some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder. Unsteady helical flows of Oldroyd-B fluids were investigated by Jamil et al [22]. Hayat et al [12] investigated the hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system.…”
Section: Introductionmentioning
confidence: 98%
“…Viscoelastic fluids have been analyzed with many different constitutive formulations, including the Maxwell fluid model [8], Oldroyd-B fluid model [9], Reiner-Rivlin differential second and third grade fluid models [10,11], Jefferys model [12], Sisko's model [13], Walters-B model [14] and Burger's elasto-viscous fluid model [15] are typical viscoelastic models and have been implemented in numerous studies in chemical, environmental and also medical engineering systems. Certain models of viscoelastic fluids are based on the so-called fractional derivatives which employs Leibnitz theory of differentiation to arbitrary non-integers (fractions).…”
Section: Introductionmentioning
confidence: 99%
“…Fetecau et al [1] derived an exact solution to the viscoelastic fluid flow induced by a circular cylinder subjected to the time dependent shear stress. The problems describing the unsteady helical flows of Oldroyd-B and second grade fluids were computed by Jamil et al [2][3] . Tan and Masuoka [4][5] discussed the stability of the Maxwell fluid in a porous medium and derived an exact solution to the Stokes first problem for an Oldroyd-B fluid.…”
Section: Introductionmentioning
confidence: 99%