On the viscoelastic core of a line vortex embedded in a stagnation point flow

• Autorzy: Erdogan M. E.
• Języki publikacji: EN

Abstrakty

EN

The viscoelastic core of a line vortex embedded in a radially inward axisymmetric stagnation point flow for a Maxwell fluid and an Oldroyd B fluid is considered. Velocity, vorticity and stress distributions are calculated and compared with those of the Newtonian fluid. It is found that there are pronounced effects of viscoelastic properties on these distributions with respect to those of the Newtonian fluid.

Słowa kluczowe

EN

viscoelastic fluid; core radius; vortex flow; Maxwell fluid; Oldroyd fluid

PL

hydromechanika; płyn lepkosprężysty; przepływ wirowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2003
• Tom: Vol. 8, no 4
• Strony: 577--588
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Erdogan M. E.

• Istanbul Teknik Üniversitesi Makina Fakültesi, Gümüşsuyu, 80191, Istanbul, TURKEY

Bibliografia

• [1] Abramowitz M. and Stegun I. (1965): Handbook of Mathematical Functions. - New York: Dover.
• [2] Bellamy-Knights P.G. (1970): An unsteady two-cell vortex solution of the Navier-Stokes eąuations. - J. Fluid Mech., vol.41, pp.673-687.
• [3] Bellamy-Knights P.G. (1971): Unsteady multicellular viscous vortices. - J. Fluid Mech., vol.50, pp. 1-16.
• [4] Bretteville J. and Mauss J. (1976): Ecoulement tourbillonaire dyun fluide de Maxwell. - C.R. Acad. Sc. Paris, vol.282, pp.297-300.
• [5] Bretteville J. and Mauss J. (1977): Dijfusion d'un tourbillon rectiligne pour un fluide de Maxwell. - C.R. Acad. Sc. Paris, vol.284, pp.401-404.
• [6] Bretteville J. (1979): Diffusion d’un tourbillon rectiligne dans un ecoulement de point d’arret pour un fluide de Maxwell. - J. Mecanique, vol.l8, pp.673-693.
• [7] Burgers J.M. (1940): Application of a model system to illustrate some points of the statistical theory of free turbulence. - Proc. Acad. Sci. Amsterdam, vol.43, pp.2-12.
• [8] Burgers J.M. (1948): A mathematical model illustrating the theory of turbulence. - Adv. Appl. Mech., vol.l, pp. 171-199.
• [9] Erdogan M.E. (1974a): Vortex motion in a Reiner-Rivlin fluid. - Buli. Tech. Uni. Ist., vol.27, pp. 12-17.
• [10] Erdogan M.E. (1974b): On the viscoelastic core of a line vortex. - Buli. Tech. Uni. Ist., vol.27, pp.77-85.
• [11] Lagnado R.R. and Ascoli E.P. (1990): A viscous line vortex in an imposed axisymmetric straining flow of an upper- convected Maxwell fluid. - J. Non-Newtonian Fluid Mech., vol.34, pp.247-253.
• [12] Lakshmana Rao (1964): Stagnation point-line vortex flow of non-linear viscous fluids. - ZAMM, vol.l, pp.44-69.
• [13] Rott N. (1958): On the viscous core of a line vortex. - ZAMP, vol.94, pp.543-553.
• [14] Rott N. (1959): On the viscous core of a line vortex U. - ZAMP, vol.l0, pp.73-81.
• [15] Oldroyd J.G. (1950): On the formulation of rheological equations of State. - Proc. Roy. Soc., vol.200A, pp.523-541.
• [16] Slater L.J. (1960): Confluent Hypergeometric Functions. - Cambridge University Press.