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Steady-state solutions for some simple flows of generalized Burgers fluids. (English) Zbl 1160.76343
Summary: 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.
MSC:
76D99Incompressible viscous fluids
42A99Fourier analysis in one variable