Basic flows of generalized second grade fluids based on a Sisko model

• Autorzy: Walicka A.

Identyfikatory

DOI

10.1515/ijame-2017-0065

• Języki publikacji: EN

Abstrakty

EN

The present investigation is concerned with basic flows of generalized second grade fluids based on a Sisko fluid. After formulation of the general equations of motion three simple flows of viscoplastic fluids of a Sisko type or fluids similar to them are considered. These flows are: Poiseuille flow in a plane channel, Poiseuille flow in a circular pipe and rotating Couette flow between two coaxial cylinders. After presentation the Sisko model one was presented some models of fluids similar to this model. Next it was given the solutions of equations of motion for three flows mentioned above.

Słowa kluczowe

EN

Sisko fluids; similar fluids; simple flows

PL

przepływ płynu lepkiego; lepkoplastyczność; przepływ Poiseuille'a

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2017
• Tom: Vol. 22, no. 4
• Strony: 1019--1033
• Opis fizyczny: Bibliogr. 21 poz., rys., tab., wykr.

Twórcy

autor

Walicka A.

• University of Zielona Góra, Faculty of Mechanical Engineering ul. Szafrana 4, 65-516 Zielona Góra, POLAND

Bibliografia

• [1] Sisko A.W. (1958): The flow of lubricating greases. – Indust. Eng. Chemistry, vol.50, No.12, pp.1789-1792.
• [2] Sisko A.W. (1960): Capillary viscometer for non-Newtonian liquids. – J. Colloid Sci., vol.15, No.1, pp.89-96.
• [3] Na T.Y. and Hansen A.G. (1967): Radial flow of viscous non-Newtonian fluids between disks. – Int. J. Non-Linear Mechanics, vol.2, No.3, pp.261-273.
• [4] Bahrami A., Azizmohhmmadi S., Narenji M.R.G. and Taghikhani V. (1996): Isothermal axial laminar flow of non-Newtonian fluids in concentric annuli (power-law and Sisko fluids). – Iranian Polym. J., vol.5, No.4, pp.271-278.
• [5] Wang Y., Hayat T. and Ali N., Oberlack M. (2008): Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel. – Physica A, vol.387, pp.347-362.
• [6] Hayat T., Maqbool K. and Asghar S. (2009): Hall and heat transfer effects on the steady flow of a Sisko fluid. – Z.Naturforsch. vol.64a, pp.769-782.
• [7] Khan M., Munawar S. and Abbasbandy S. (2010): Steady flow and heat transfer of a Sisko fluid in annular pipe. – Int. J. Heat Mass Transfer, vol.53, pp.1290-1297.
• [8] Mekheimer Kh. S. and El Kot M.A. (2012): Mathematical modelling of unsteady flow of a Sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis. – Appl. Math. Modelling. vol.36, No.11, pp.5393-5407.
• [9] Khan M. and Shahzad A. (2012): On axisymmetric flow of Sisko fluid over a radially stretching sheet. – Int. J. Non-Linear Mech., vol.47, pp.999-1007.
• [10] Akbar N.S. (2014): Peristaltic Sisko nano-fluid in an asymmetric channel. – Appl. Nanosci., vol.4, pp.663-673, DOI: 10.1007/s13204-013-0205-1.
• [11] Walicka A. (2016): Curvilinear squeeze film bearing lubricated by a Sisko fluid or by one of similar fluids. – submitted to: Chem. Proc. Eng.
• [12] Akbar N.S., Nadeem S. and Lee C. (2012): Peristaltic flow of a Prandtl fluid model in an asymmetric channel. – Int. J. Phys. Sci., vol.7, No.5, pp.687-695.
• [13] Nadeem S., Sadaf H. and Akbar N.S. (2015): Effects of nanoparticles on the peristaltic motion of tangent hyperbolic fluid model in an annulus. – Alexandria Eng. J., vol.54, pp.843-851.
• [14] Ellahi R., Riaz A., Nadeem S. and Ali M. (2012): Peristaltic flow of Carreau fluid in a rectangular duct through a porous medium. – Math. Problems in Eng., vol.2012, Article ID 329639, p.24.
• [15] Prager W. (1961): Introduction to Mechanics of Continua. – Boston: Ginn.
• [16] Walicka A. (2002): Rheodynamics of Non-Newtonian Fluids Flow in Straight and Curved Channels. (in Polish). – Zielona Gora: University Press.
• [17] Walicka A. (2002): Rotational Flows of the Rheologically Complex Media in Thin Annular Channels. (in Russian). – Zielona Gora: University Press.
• [18] Walicka A. (2017): Rheology of fluids in Mechanical Engineering. – Zielona Góra: University Press.
• [19] Rivlin R.S. and Ericksen J.L. (1955): Stress deformation relations for isotropic materials. – J. Rat. Mech. Anal., vol.4, No.4, pp.323-425.
• [20] Walicki E. and Walicka A. (1998): Basic flows of generalized second grade fluids. – XIX Symposium on Rheology, Klaipeda, Collection of Abstracts, p.78.
• [21] Schramm G. (1994): A Practical Approach to Rheology and Rheometry. – Karlsruhe: Haake.