Chaotic heat transfer in a periodic two-dimensional flow

Physics of Fluids

Volumn 10, Issue 8, 1998, Pages 2102-2104

  Saatdjian, E ^a,b   Leprevost, J C ^a  

^a NANCY UNIVERSITÉ   (France)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000295628     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869725     Document Type: Article

References (8)

1. n(u) can be obtained by substitution into the creeping flow equations. The integration constants are specified by the boundary conditions.
2. 0.5.
3. J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989).
4. The good agreement obtained between experiments and numerical simulations of blob deformation experiments using this assumption in the journal bearing flow [P. D. Swanson and J. M. Ottino, J. Fluid Mech. 213, 227 (1990)], in the two roll mill flow [S. Jana, G. Metcalfe, and J. M. Ottino, J. Fluid Mech. 269, 199 (1994)] and in the flow considered here [E. Saatdjian, N. Midoux, M. I. Gastou-Chassaing et al., Phys. Fluids 8, 677 (1996)] is ample proof of this hypothesis.
5. The good agreement obtained between experiments and numerical simulations of blob deformation experiments using this assumption in the journal bearing flow [P. D. Swanson and J. M. Ottino, J. Fluid Mech. 213, 227 (1990)], in the two roll mill flow [S. Jana, G. Metcalfe, and J. M. Ottino, J. Fluid Mech. 269, 199 (1994)] and in the flow considered here [E. Saatdjian, N. Midoux, M. I. Gastou-Chassaing et al., Phys. Fluids 8, 677 (1996)] is ample proof of this hypothesis.
6. The good agreement obtained between experiments and numerical simulations of blob deformation experiments using this assumption in the journal bearing flow [P. D. Swanson and J. M. Ottino, J. Fluid Mech. 213, 227 (1990)], in the two roll mill flow [S. Jana, G. Metcalfe, and J. M. Ottino, J. Fluid Mech. 269, 199 (1994)] and in the flow considered here [E. Saatdjian, N. Midoux, M. I. Gastou-Chassaing et al., Phys. Fluids 8, 677 (1996)] is ample proof of this hypothesis.
7. 2=-1, respectively, there is an increased heat transfer enhancement over the constant angular velocity case. As in S. Ghosh, H. C. Chang, and M. Sen, J. Fluid Mech. 238, 119 (1992), the enhancement is proportional to the forcing amplitude b whose effect is to widen the recir-culation vortex zones. The variation of enhancement with forcing frequency ω is more complex. As in the reference above, all the optimum forcing frequency the stochastic layer is thickest. This can be shown by plotting the Poincaré section of an initial condition initially placed near the hyperbolic saddle point.
8. T. Kaper and S. Wiggins, J. Fluid Mech. 253, 211 (1993).