Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube.(English)Zbl 1221.76269

Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4100-4113 (2009); erratum ibid. 15, No. 12, 4241 (2010).
Summary: Peristaltic transport in a two-dimensional non-uniform tube filled with Herschel–Bulkley fluid is studied under the assumptions of long wavelength and low Reynold number. The fluid flow is investigated in the wave frame of reference moving with the velocity of the peristaltic wave. Exact solution for the velocity field, the temperature profile, the stream functions and the pressure gradient are obtained. The physical behavior of $$\tau , n, \alpha$$ and $$\varphi$$ on the pressure rise versus flow rate are discussed through graphs. At the end of the article trapping phenomena for Herschel–Bulkley and also for Newtonian, Bingham and power law (which are the special cases of Herschel–Bulkley fluid) fluid are discussed.

MSC:

 76Z05 Physiological flows 76A10 Viscoelastic fluids 80A20 Heat and mass transfer, heat flow (MSC2010) 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 92C35 Physiological flow
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