Gravity Affected Lateral Dispersion and Diffusion in a Stationary Horizontal Porous Medium Shear Flow

Transport in Porous Media

Volumn 26, Issue 2, 1997, Pages 183-204

  Thiele, Michael ^a  

^a LEIBNIZ INSTITUTE OF FRESHWATER ECOLOGY AND INLAND FISHERIES   (Germany)

Author keywords

Apparent transverse dispersion coefficient; Approximate nonsimilarity solutions; Boussinesq approximation; Horizontal mixing layers; Mixed convection; Solute diffusion; Solute dispersion; Stable and unstable flow

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYERS; FLUIDS; HYDRODYNAMICS; MATHEMATICAL MODELS; MIXING; POROUS MATERIALS; SHEAR FLOW; TRANSPORT PROPERTIES;

ADVECTION; BOUSSINESQ APPROXIMATION; HORIZONTAL MIXING LAYER; MECHANICAL DISPERSION; MOLECULAR DIFFUSION; PECLET NUMBER;

DIFFUSION;

DIFFUSION; DISPERSION; HYDRODYNAMICS; POROUS MEDIA; SHEAR FLOW;

DIFFUSION; DISPERSION; POROUS MEDIUM; SOLUTE TRANSPORT;

EID: 0031080588     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006597813701     Document Type: Article

References (37)

1. Aldoss, T. K., Chen, T. S. and Armaly, B. F.: 1993a, Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium - variable surface heat flux, Int. J. Heat Mass Transfer 36, 463-470.
2. Aldoss, T. K., Chen, T. S. and Armaly, B.F.: 1993b, Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium - variable wall temperature, Int. J. Heat Mass Transfer 36, 471-477.
3. Aldoss, T. K., Chen, T. S . and Armaly, B.F.: 1994, Mixed convection over nonisothermal horizontal surfaces in a porous medium: the entire regime, Num. Heat Transfer, Part A 25, 685-701.
4. Bear, J.: 1979, Hydraulics of Groundwater, McGraw-Hill, New York, 567 pp.
5. Bear, J. and Bachmat, Y.: 1967, A generalized theory of hydrodynamic dispersion in porous media, Symposium of Haifa, March 19-26, 1967, International Association of Scientific Hydrology, Publication No. 72, 7-16.
6. Bouhroum, A.: 1988, Influence of viscosity and density differences between two miscible fluids on longitudinal hydrodynamic dispersion. Part I: Viscosity differences (in German), Deutsche Gewässerkund. Mitteil. 32, 144-154.
7. Bouhroum, A.: 1989, Influence of viscosity and density differences between two miscible fluids on longitudinal hydrodynamic dispersion. Part II: Density differences (in German). Deutsche Gewässerkund. Mitteil. 33, 9-13.
8. Carey, A. E., Wheatcraft, S. W., Glass, R. J. and O'Rourke, P.: 1995, Non-Fickian ionic diffusion across high-concentration gradients, Water Resour. Res. 31, 2213-2218.
9. Cebeci, T. and Bradshaw, P.: 1977, Momentum Transfer in Boundary Layers, Hemisphere, Washington, D.C., 391 pp.
10. Cebeci, T. and Bradshaw, P.: 1984, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, 487 pp.
11. Chang, I.-D.: 1961, Navier-Stokes solutions at large distances from a finite body, J. Math. Mech. 10, 811-876.
12. Cheng, P.: 1977, Combined free and forced convection flow about inclined surfaces in porous media, Int. J. Heat Mass Transfer 20, 807-814.
13. Cheng, P. and Chang, I-D.: 1976, Buoyancy induced flows in a saturated medium adjacent to impermeable horizontal surfaces, Int. J. Heat Mass Transfer 19, 1267-1272.
14. Hassanizadeh, S. M. and Leijnse, A.: 1995, A non-linear theory of high-concentration-gradient dispersion in porous media, Adv. Water Resour. 18, 203-215.
15. Hinch, E. J.: 1991, Perturbation Methods, Cambridge University Press, Cambridge, 160 pp.
16. Istok, J. D. and Humphrey, M. D.: 1995, Laboratory investigation of buoyancy-induced flow (plume sinking) during two-well tracer tests, Ground Water 33, 597-604.
17. Jang, J.-Y. and Chang, W. J.: 1988, Buoyancy-induced inclined boundary layer flow in a porous medium resulting from combined heat and mass buoyancy effects, Int. Comm. Heat Mass Transfer 15, 17-30.
18. Kaviany, M.: 1995, Principles of Heat Transfer in Porous Media, Springer, New York, 708 pp.
19. Keller, H. B.: 1978, Numerical methods in boundary-layer theory, Ann. Rev. Fluid Mech. 10, 417-433.
20. Kobus, H. E. and Spitz, K.-H.: 1985, Transverse mixing of stratified flows in porous media, Proc. 21st IAHR Congress, Melbourne, 19-24 August 1985, pp. 170-174.
21. Lerman, A.: 1979, Geochemical Processes, Water and Sediment Environments, Wiley, New York, 481 pp.
22. Minkowycz, W. J. and Sparrow, E. M.: 1978, Numerical solution scheme for local nonsimilarity boundary-layer analysis, Num. Heat Transfer 1, 69-85.
23. Minkowycz, W. J., Cheng, P. and Hirschberg, R.N.: 1984, Non-similar boundary-layer analysis of mixed convection about a horizontal heated surface in a fluid-saturated porous medium, Int. Comm. Heat Mass Transfer 11, 127-141.
24. Oldenburg, C. M. and Pruess, K.: 1995, Dispersive transport dynamics in a strongly coupled groundwaterbrine flow system, Water Resour. Res. 31, 289-302.
25. Oldenburg, C. M. and Pruess, K.: 1996, Mixing with first-order decay in variable-velocity porous media flow, Transport in Porous Media 22, 161-180.
26. Park, N.: 1996, Closed-form solutions for steady state density-dependent flow and transport in a vertical soil column, Water Resour. Res. 32, 1317-1322.
27. Rinnert, B.: 1983, Hydrodynamic dispersion in porous media: influence of density differences on vertical mixing processes in horizontal flows (in German), Mitteilungen des Instituts für Wasserbau, No. 52, Universität Stuttgart, 161 pp.
28. Schincariol, R.A., Schwartz, F.W., Mendoza, C.A.: 1994, On the generation of instabilities in variable density flow, Water Resour. Res. 30, 913-927.
29. Spitz, K.-H.: 1985, Dispersion in porous media: influence of inhomogeneities and density differences (in German), Mitteilungen des Instituts für Wasserbau, No. 60, Universität Stuttgart, 131 pp.
30. Stewartson, K.: 1957, On asymptotic expansions in the theory of boundary layers, J. Math. Phys. 36, 173-191.
31. Stoessell, R. K.: 1995, Dampening of transverse dispersion in the halocline in karst limestone in the northeastern Yucatan Peninsula, Ground Water 33, 366-371.
32. Thiele, M.: 1991, Stationary concentration distributions in flows above a horizontal wall in a porous medium (in German), Mitteilungen des Instituts für Wasserbau und Wasserwirtschaft, No. 120, Technische Universität, Berlin, pp. 5-20.
33. Thiele, M.: 1993, Mixing of fresh and salt water in horizontal shear flows in a porous medium (in German), Mitteilungen des Instituts für Wasserbau und Wasserwirtschaft, No. 122, Technische Universität, Berlin, 133 pp.
34. Thiele, M.: 1995, Approximate analytical solutions of density and viscosity coupled mass transport over a horizontal wall in a porous medium, in Advances in Hydro-Science and -Engineering, Vol. II, Proc. 2nd Int. Conf. Hydro-Science and -Engineering, Beijing, 22-26 March 1995, Tsinghua University Press, Beijing, Part B, pp. 1689-1696.
35. Uffink, G. F. M.: 1988, Variable density fluid flow in the brackish transition zone between fresh and saline groundwater, in: E. Custodio et al. (eds), Groundwater Flow and Quality Modelling, D. Reidel Publishing Company, pp. 95-110.
36. Van Duijn, C. J. and Peletier, L. A.: 1992, A boundary-layer problem in fresh-salt groundwater flow, Q. J. Mech. Appl. Math. 45, 1-24.
37. Yu, W. S., Lin, H. T. and Lu, C. S.: 1991, Universal formulations and comprehensive correlations for non-Darcy natural convection and mixed convection in porous media, Int. J. Heat Mass Transfer 34, 2859-2868.