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Steady-state solutions for some simple flows of generalized Burgers fluids
Authors:C. Fetecau  T. Hayat
Affiliation:a Department of Mathematics, Technical University of Iasi, R-6600 Iasi, Romania
b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan
c Department of Theoretical Mechanics, Technical University of Iasi, R-6600 Iasi, Romania
Abstract:The steady-state solutions for three types of unsteady oscillating flows of generalized Burgers fluids are determined by means of the Fourier sine transforms. These solutions are also presented in equivalent forms in terms of elementary functions exp, sine, cosine, hyperbolic sine and hyperbolic cosine. The similar solutions for Burgers, Oldroyd-B, Maxwell, Second grade and Navier-Stokes fluids can be also obtained as limiting cases of our solutions.
Keywords:Generalized Burgers fluids   Steady-state solutions   Unsteady oscillating flows
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