The electro-osmotic peristaltic flow of a viscoelastic fluid through a cylindrical micro-channel is studied in this paper. The fractional Jeffreys constitutive model, including the relaxation time and retardation time, is utilized to describe the viscoelasticity of the fluid. Under the assumptions of long wavelength, low Reynolds number, and Debye-Hückel linearization, the analytical solutions ...

Abstract. This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the rate of entropy production, the constitutive relations for a mixture of a viscoelastic solid and a fluid (specifically Newtonian fluid) are derived. B...

Using a strain-controlled rheometer, the dynamic viscoelastic properties of aqueous xanthan gum solutions with different concentrations were measured over a wide range of strain amplitudes and then the linear viscoelastic behavior in small amplitude oscillatory shear flow fields was investigated over a broad range of angular frequencies. In this article, both the strain amplitude and concentrat...

In this work, we derive an analytical solution for heat transfer characteristics of a thermally developing flow of viscoelastic fluids under the application of an electroosmotic force. The walls are subjected to either in isothermal condition or a constant wall heat flux is employed. First, we derive a Helmholtz-Smoluchowski (HS) type slip velocity for the viscoelastic fluids, which is further ...

The influences of several operating factors on the viscosity of the Isfahan refinery waxy crude oil sample are studied through conducting some rheological shear rotational tests. The Taguchi design method is adopted to determine the impact of factors such as shear rate, temperature, cooling rate, wax content, and asphaltene content on the viscosity of the waxy crude oil. The results show that t...

A wide class of mathematical physics problems can be considered within the framework semi-linear Sobolev type equations, which describe various processes (for example deformation processes, occurring in semiconductors, oscillatory motion propagation media, and so on). The article is devoted to study control (optimal, start rigid) one model type, based on equation describing process changing con...