A new formulation for extending the concept of heatlines and masslines to reacting flows through use of conserved scalars has been proposed. The formulation takes into account the distinct diffusion coefficients of different species. Results have been obtained for a number of two-dimensional nonreacting and reacting free shear flows under normal and zero gravity. For nonreacting flows, total enthalpy and elemental mass fractions have been used as the transported conserved scalars. For reacting flows, mixture fractions, defined as normalized elemental mass fractions and enthalpy, have been employed. The results show this concept to be a useful tool for obtaining better insights into the global qualitative picture of scalar transport for both nonreacting and reacting flows.
Issue Section:
Combustion and Reactive Flows
1.
Kimura
, S.
, and Bejan
, A.
, 1983
, “The ‘Heatline’ Visualization of Convective Heat Transfer
,” ASME J. Heat Transfer
, 105
, pp. 916
–919
.2.
Trevisan
, O. V.
, and Bejan
, A.
, 1987
, “Combined Heat and Mass Transfer by Natural Convection in a Vertical Enclosure
,” ASME J. Heat Transfer
, 109
, pp. 104
–112
.3.
Littlefield
, D.
, and Desai
, P.
, 1988
, “Buoyant Laminar Convection in a Vertical Cylindrical Annulus
,” ASME J. Heat Transfer
, 110
, pp. 814
–821
.4.
Aggarwal
, S. K.
, and Manhapra
, A.
, 1989
, “Use of Heatlines for Unsteady Buoyancy-Driven Flow in a Cylindrical Enclosure
,” ASME J. Heat Transfer
, 111
, pp. 576
–578
.5.
Aggarwal
, S. K.
, and Manhapra
, A.
, 1989
, “Transient Natural Convection in a Cylindrical Enclosure Non-Uniformly Heated at the Top Wall
,” Numer. Heat Transfer, Part A
, 15
, pp. 341
–356
.6.
Bello-Ochende
, F. L.
, 1988
, “A Heat Function Formulation for Thermal Convection in a Square Cavity
,” Int. Commun. Heat Mass Transfer
, 15
, pp. 193
–202
.7.
Ho
, C. J.
, and Lin
, Y. H.
, 1989
, “Thermal Convection of Air/Water Layers Enclosed in Horizontal Annuli With Mixed Boundary Conditions
,” Waerme-und Stoffuebertrag.
, 24
, pp. 211
–224
.8.
Bejan, A., 1995, Convection Heat Transfer, 2nd ed., Wiley, New York.
9.
Morega
, Al M.
, and Bejan
, A.
, 1994
, “Heatline Visualization of Forced Convection in Porous Media
,” Int. J. Heat Fluid Flow
, 15
, pp. 42
–47
.10.
Chattopadhyay
, H.
, and Dash
, S. K.
, 1995
, “Numerical Visualization of Convective Heat Transfer From a Sphere—With and Without Radial Mass Efflux
,” Int. J. Numer. Methods Heat Fluid Flow
, 5
, pp. 705
–716
.11.
Dash
, S. K.
, 1996
, “Heatline Visualization in Turbulent Flow
,” Int. J. Numer. Methods Heat Fluid Flow
, 6
, pp. 37
–46
.12.
Oh
, J. Y.
, Ha
, M. Y.
, and Kim
, K. C.
, 1997
, “Numerical Study of Heat Transfer and Flow of Natural Convection in an Enclosure With a Heat-Generating Conducting Body
,” Numer. Heat Transfer, Part A
, 31
, pp. 289
–303
.13.
Kim
, S. J.
, and Jang
, S. P.
, 2001
, “Experimental and Numerical Analysis of Heat Transfer Phenomena in a Sensor Tube of a Mass Flow Controller
,” Int. J. Heat Mass Transf.
, 44
, pp. 1711
–1724
.14.
Morega
, Al M.
, and Bejan
, A.
, 1993
, “Heatline Visualization of Forced Convection Laminar Boundary Layers
,” Int. J. Heat Mass Transf.
, 36
, pp. 3957
–3966
.15.
Costa
, V. A. F.
, 2000
, “Heatline and Massline Visualization of Laminar Natural Convection Boundary Layers Near a Vertical Wall
,” Int. J. Heat Mass Transf.
, 43
, pp. 3765
–3774
.16.
Costa
, V. A. F.
, 1997
, “Double Diffusive Natural Convection in a Square Enclosure With Heat and Mass Diffusive Walls
,” Int. J. Heat Mass Transf.
, 40
, pp. 4061
–4071
.17.
Costa
, V. A. F.
, 1999
, “Unification of the Streamline, Heatline, and Massline Methods for the Visualization of Two-Dimensional Transport Phenomena
,” Int. J. Heat Mass Transf.
, 42
, pp. 27
–33
.18.
Shu
, Z.
, Aggarwal
, S. K.
, Katta
, V. R.
, and Puri
, I. K.
, 1997
, “Flame-Vortex Dynamics in an Inverse Partially Premixed Combustor: The Froude Number Effects
,” Combust. Flame
, 111
, pp. 276
–294
.19.
Aggarwal
, S. K.
, Puri
, I. K.
, and Qin
, X.
, 2001
, “A Numerical and Experimental Investigation of “Inverse” Triple Flames
,” Phys. Fluids
, 13
, pp. 265
–275
.20.
Williams, F. A., 1985, Combustion Theory, 2nd ed., Benjamin-Cummings, Menlo Park, CA.
21.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
22.
Shu, Z., 2001, “A Numerical Investigation of Steady and Unsteady Methane-Air Partially Premixed Flames,” Ph.D thesis, University of Illinois at Chicago.
23.
Peters, N., and Rogg, B., eds, 1993, Lecture Notes in Physics, Springer-Verlag.
24.
Hoshangadi
, A.
, Merkle
, C. L.
, and Turns
, S. R.
, 1990
, “Analysis of Forced Combusting Jets
,” AIAA J.
, 28
, pp. 1473
–1480
.25.
Azzoni
, R.
, Ratti
, S.
, Aggarwal
, S. K.
, and Puri
, I. K.
, 1999
, “Gravity Effects on Triple Flames: Flame Structure and Flow Instability
,” Phys. Fluids
, 11
, pp. 3449
–3464
.26.
Poinsot
, T.
, Echekki
, T.
, and Mungal
, M. G.
, 1992
, “A Study of the Laminar Flame tip and Implications for Premixed Turbulent Combustion
,” Combust. Sci. Technol.
, 81
, pp. 45
–73
.27.
Echekki
, T.
, 1997
, “A Quasi-One-Dimensional Premixed Flame Model With Cross-Stream Diffusion
,” Combust. Flame
, 110
, pp. 335
–350
.28.
Bilger
, R. W.
, 1981
, “Molecular Transport Effects in Turbulent Diffusion Flames at Moderate Reynolds Number
,” AIAA J.
, 20
, pp. 962
–970
.29.
Smith
, L. L.
, Dibble
, R. W.
, Talbot
, L.
, Barlow
, R. S.
, and Carter
, C. D.
, 1995
, “Laser Raman Scattering Measurements of Differential Molecular Diffusion in Turbulent Nonpremixed Jet Flames of H2/CO2 Fuel
,” Combust. Flame
, 100
, pp. 153
–160
.30.
Echekki
, T.
, and Chen
, J. H.
, 1998
, “Structure and Propagation of Methanol-Air Triple Flames
,” Combust. Flame
, 114
, pp. 231
–245
.Copyright © 2002
by ASME
You do not currently have access to this content.
