Heat transfer from a neutrally buoyant sphere in a second-order fluid

Journal of Non-Newtonian Fluid Mechanics

Volumn 144, Issue 1, 2007, Pages 49-57

  Subramanian, G ^a   Koch, Donald L ^b  

^a JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

^b Cornell University   (United States)

Author keywords

Boundary layer; Closed streamlines; Convective enhancement; Heat transfer; Linear flow; Second order fluid; Symmetry

Indexed keywords

BOUNDARY LAYERS; DIFFUSION; HEAT CONVECTION; MASS TRANSFER; NAVIER STOKES EQUATIONS; NUSSELT NUMBER; PECLET NUMBER; RELAXATION TIME; SHEAR FLOW; STRESSES;

CONVECTIVE ENHANCEMENT; DEBORAH NUMBER; LINEAR FLOW; SECOND-ORDER FLUID;

NON NEWTONIAN FLOW;

BOUNDARY LAYERS; DIFFUSION; HEAT CONVECTION; MASS TRANSFER; NAVIER STOKES EQUATIONS; NON NEWTONIAN FLOW; NUSSELT NUMBER; PECLET NUMBER; RELAXATION TIME; SHEAR FLOW; STRESSES;

EID: 34247602111     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.02.013     Document Type: Article

References (19)

1. Kao S.V., Cox R.G., and Mason S.G. Streamlines around single spheres and trajectories of pairs of spheres in two-dimensional creeping flows. Chem. Eng. Sci. 32 (1977) 1505
2. Poe G.G., and Acrivos A. Closed streamlines flows past small rotating particles: heat transfer at high Peclet numbers. Int. J. Multiphase Flow 2 (1976) 365
3. Highgate D.J., and Whorlow R.W. Rheological properties of suspensions of spheres in non-Newtonian media. Rheol. Acta 9 (1970) 569
4. Feng D.D., and Joseph. The motion of solid particles suspended in viscoelastic liquids under torsional shear. J. Fluid Mech. 324 (1996) 199
5. Leal L.G. Laminar Flow and Convective Transport Processes (1992), Butterworth-Heineman, Boston
6. Acrivos A. Heat transfer at high Peclet number from a small sphere freely rotating in a simple shear field. J. Fluid Mech. 46 (1971) 233
7. Happel J., and Brenner H. Low Reynolds Number Hydrodynamics (1973), Noordhoff International Publishing
8. Subramanian G., and Koch D.L. Centrifugal forces alter streamline topology and greatly enhance the rate of heat and mass transfer from neutrally buoyant particles to a shear flow. Phys. Rev. Lett. 96 4 (2006) 134503
9. Subramanian G., and Koch D.L. Inertial effects on the transfer of heat or mass from neutrally buoyant spheres in a steady linear velocity field. Phys. Fluids 18 7 (2006) 073302
10. Bird R.B., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids, vol. 1 (1987), Wylie, New York
11. Coleman B.D., and Noll W. An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rat. Mech. Anal. 6 (1960) 355
12. Rivlin R.S., and Ericksen J.L. Stress-deformation relations for isotropic materials. J. Rational Mech. Anal. r (1955) 323
13. Larson R.G. Constitutive Equations for Polymer Melts and Solutions (1988), Butterworths, Boston
14. D.L. Koch, G. Subramanian, The stress in a dilute suspension of spheres suspended in a second-order fluid subject to a linear flow field, J. Non-Newtonian Fluid Mech. 128 (2006) 87.
15. Rajagopal K.R. On the creeping flow of the second-order fluid, it. J. Non-Newtonian Fluid Mech. 15 (1984) 239
16. J.H. Peery, Fluid mechanics of rigid and deformable particles in shear flows at low Reynolds numbers, Ph.D. Thesis, Princeton University, 1966.
17. Goddard J.D., and Acrivos A. Asymptotic expansions for laminar forced-convection heat and mass transfer. Part 2. Boundary-layer flows. J. Fluid Mech. 24 (1966) 339
18. Batchelor G.K. Mass transfer from a particle suspended in fluid with a steady linear ambient velocity distribution. J. Fluid Mech. 95 (1979) 369
19. Kossack C.A., and Acrivos A. Steady simple shear flow past a circular cylinder at moderate Reynolds numbers: a numerical solution. J. Fluid Mech. 66 (1974) 353