Use of Taylor dispersion of a solute for immiscible viscous fluids between two plates

• Autorzy: Kumar J. P. , Umavathi J. C. , Basavaraj A.
• Języki publikacji: EN

Abstrakty

EN

The Taylor dispersion of a solute is studied for two immiscible viscous fluids flowing between parallel plates. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The walls of the channel are considered to be isothermal. The closed-form solutions are obtained in both fluids' regions of the channel. The results are presented graphically for various values of pressure gradients, height of the channel, viscosity and diffusivity. The validity of the results obtained from an analytical method for two fluid model is verified by comparison with the available one fluid model results, and good agreement is found.

Słowa kluczowe

EN

two fluid model; Taylor dispersion; viscous fluids; diffusion; concentration

PL

dyspersja Taylora; płyn lepki; dyfuzja; stężenie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 2
• Strony: 399--410
• Opis fizyczny: Bibliogr. 29 poz., tab., wykr.

Twórcy

autor

Kumar J. P.

autor

Umavathi J. C.

autor

Basavaraj A.

• Department of Mathematics, Gulbarga University Gulbarga-585 106, Karnataka, INDIA,

Bibliografia

• Andersson B. and Berglin T. (1981): Dispersion in laminar flow through a circular tube. - Proc. Roy. Soc. Lond. A., vol.377, pp.251-268.
• Aris R. (1956): On the dispersion of a solute in a fluid flowing through a tube. - Proc. Roy. Soc. Lond. A., vol.235, pp.67-77.
• Barton N.G.(1978): The initial dispersion of soluble matter in three-dimensional flow. - J. Austral. Math. Soc., B. vol.20, pp.265-279.
• Barton N.G. (1983): On the method of moments for solute dispersion. - J. Fluid Mech., vol.126, pp.205-218.
• Chatwin P.C. (1970): The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe. - J. Fluid. Mech., vol.43, pp.321-352.
• Debashis Dutta, Arun Ramachandran, David T. and Leighton Jr. (2006): Effect of channel geometry on solute dispersion in pressure-driven microfluidic systems. - Microfluid Nanofluid, vol.2, pp.275-290.
• Elder J.W. (1959): The dispersion of marked fluid in turbulent shear flow. - J. Fluid Mech., vol.5, pp.544-560.
• Fischer H.B, Imberger J., List E.J., Koh R.C.Y. and Brooks N.H. (1979): Mixing in inland and coastal waters. - Academic Press, pp.483.
• Griffiths A. (1911): On the movement of a coloured index along a capillary tube, and its applications to the measurement of the circulation of water in a closed circuit. - Proc. Phys. Soc. Lond., vol.23, pp.190-197.
• Howard C.J (1976): Kinetic measurements using flow tubes. - J. Phys. Chem., vol.83, pp.3-8.
• Lohrasbi J. and Sahai V. (1988): Magnetohydrodynamic heat transfer in two phase flow between parallel plates. - Appl. Sci. Res., vol.45, pp.53-66.
• Malashetty M.S. and Umavathi J.C. (1997): Two-phase magnetohydrodynamic flow and heat transfer in an inclined channel. - Int. J. Multiphase Flow, vol.No.3, pp.545-560.
• Malashetty M.S., Umavathi J.C. and Parthap Kumar J. (2001): Two-fluid magneto convection flow in an inclined channel. - Int. J. Trans. Phenomena, vol.3, pp.73-84.
• Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2005): Flow and heat transfer in an inclined channel containing a fluid layer sandwiched between two porous layers. - Journal of Porous Media, vol.8, No.1, pp.443-453.
• Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2006): Magnetoconvection of two-immiscible fluids in a vertical enclosure. - Heat Mass Transfer, vol.42, No.11, pp.977-993.
• Marrero T.R. and Mason E.A. (1972): Gaseous diffusion coefficients. - J. Phys. Chem. Ref. Data, vol.1, pp.3-18.
• Prathap Kumar J., Umavathi J.C. and Basavaraj M. Biradar (2009): Fully developed mixed convection flow in a vertical channel containing porous and fluid layers with isothermal of isoflux boundaries. - TIPM, vol.80, pp.117-135.
• Prathap Kumar J., Umavathi J.C. and Basavaraj M. Biradar (2010a): Mixed convection of composite porous medium in a vertical channel with asymmetric wall heating conditions. - Journal of Porous Media, vol.13, No.3, pp.271-285.
• Prathap Kumar J., Umavathi J.C. Chamkha A.J. and Pop I. (2010b): Fully developed free convective flow of micropolar and viscous fluids in a vertical channel. - App. Mathematical Modelling, vol.34, pp.1175-1186.
• Rudraiah N. and Ng C.O. (2007): Dispersion in porous media with and without reaction: a review. - Journal of Porous Media, vol.10, No.3, pp.219-248.
• Shail R. (1973): On laminar two-phase flow in magnetohydrodynamics. - Int. J. Eng. Sci., vol.11, pp.1103-1108.
• Smith R. (1981): The early stages of contaminant dispersion in shear flow. - J. Fluid Mech., vol.111, pp.107-122.
• Taylor G.I.. (1953): Dispersion of soluble matter in solvent flowing slowly through a tube. - Proc. Roy. Soc. Lond. A., vol.219, pp.186-203.
• Taylor G.I.. (1954): Dispersion of matter in turbulent flow through a pipe. - Proc. Roy. Soc. Lond. A., vol.223, pp.446-468.
• Umavathi J.C., Chamkha A.J. and Abdul Mateen (2004): Oscillatory flow and heat transfer in two immiscible fluids. - Int. J. of Fluid Mechanics Research, vol.31, pp.101-123.
• Umavathi J.C., Chamkha A.J., Manjula M.H. and Al-Mudhaf A. (2005): Flow and heat transfer of a couple stress fluid sandwiched between viscous fluid layers. - Can. J. Phys., vol.83, pp.705-720.
• Umavathi J.C., Manjula M.H., Pop I. and Liu I.C. (2007): Flow and heat transfer of couple stress and viscous fluids in a vertical channel. - Int. J. Applied Mechanics and Engineering, vol.12, pp.537-555.
• Umavathi J.C., Chamkha A.J., Abdul Mateen and Kumar J.P. (2008): Unsteady magnetohydrodynamic two fluid flow and heat transfer in a horizontal channel. - Int. J. of Heat and Technology, vol.26, pp.121-133.
• Verwoerd W.S. and Kulasiri G.D. (2001): The effects of variable flow velocity on contaminant dispersion in porous flow. - MODSIM01 Proceedings, pp.401-406, Ed.: F. Ghassemi, ANU, Canberra.