论文信息 - Some simple flows of an Oldroyd-B fluid

Some simple flows of an Oldroyd-B fluid

Exact solutions for the following five problems of an Oldroyd-B fluid are obtained. (i) Stokes problem (ii) modified Stokes problem (iii) the time-periodic Poiseuille flow due to an oscillating pressure gradient (iv) the non-periodic flows between two boundaries, and (v) symmetric flow with an arbitrary initial velocity. Some interesting flows caused by certain special oscillations are also obtained. The physical interpretation of the results is presented.

[1] Kumbakonam R. Rajagopal,et al. Exact solutions for some simple flows of an Oldroyd-B fluid , 1995 .

[2] Kumbakonam R. Rajagopal,et al. On Stokes' problem for a non-Newtonian fluid , 1983 .

[3] Tasawar Hayat,et al. Periodic flows of a non-Newtonian fluid between two parallel plates , 1999 .

[4] Morton M. Denn,et al. Elastic effects in flow of viscoelastic liquids , 1971 .

[5] T. Hayat,et al. Periodic unsteady flows of a non-Newtonian fluid , 1998 .

[6] Giuseppe Pontrelli,et al. Flow of a viscoelastic fluid between two rotating circular cylinders subject to suction or injection , 1997 .

[7] Tasawar Hayat,et al. Some unsteady unidirectional flows of a non-Newtonian fluid , 2000 .

[8] Kumbakonam R. Rajagopal,et al. A note on unsteady unidirectional flows of a non-Newtonian fluid , 1982 .

[9] J. Oldroyd. On the formulation of rheological equations of state , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[10] R. Bird. Dynamics of Polymeric Liquids , 1977 .

[11] J. G. Oldroyd,et al. THE MOTION OF AN ELASTICO-VISCOUS LIQUID CONTAINED BETWEEN COAXIAL CYLINDERS. I , 1951 .