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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2020032820
pages 289-303

NUMERICAL STUDY OF DARCY FORCHHEIMER UNSTEADY MIXED CONVECTION FLOW OF NANOFLUID WITH AN EXPONENTIALLY DECREASING FREE-STREAM VELOCITY DISTRIBUTION

G. Revathi
Department of Mathematics, Bharathidasan University, Tamilnadu, India
Ponnaiah Saikrishnan
Department of Mathematics, NIT Tiruchirappali, Tamilnadu, India
M. Revathy
Alliance College of Engineering and Design, Bangalore, India
S. Jayanthi
BMS College of Engineering, Bangalore, India

RÉSUMÉ

The present study is on mixed convection nanofluid flow with an exponentially decreasing velocity distribution embedded in a Darcy Forchheimer permeable medium. The nanofluid saturates the porous medium through Darcy Forchheimer relation. In a high flow situation the effect of inertia is necessary to be considered by including an additional velocity squared term in the momentum equation known as Forchheimer extension. The equations governing the flow are made dimensionless using suitable nonsimilarity transformation. The resulting coupled nonlinear partial differential equations are solved by quasilinearization technique in combination with the implicit finite difference method. Numerical computations are done for different parameters. The effect of Forchheimer, porosity, Lewis number, thermophoresis, and Brownian motion parameters on the velocity, temperature, and concentration gradient are graphically studied for the considered unsteady nanofluid flow and compared with the existing results and are found to be in good agreement.

RÉFÉRENCES

  1. Ali, N., Amaral Teixeira, J., and Addali, A., A Review on Nanofluids: Fabrication, Stability, and Thermophysical Properties, J. Nanomater., vol. 2018,6978130,2018.

  2. Bellman, R.E. and Kalaba, R.E., Quasilinearization and Nonlinear Boundary-Value Problems, Rand Corp, Santa Monica, CA, Tech. Rep. RM-4284-PR, Sept. 1965.

  3. Buongiorno, J., Convective Transport in Nanofluids, J. Heat Transf, vol. 128, no. 3, pp. 240-250,2005.

  4. Chiam, T. C., A Numerical Solution for the Laminar Boundary Layer Flow with an Exponentially Decreasing Velocity Distribution, Acta Mech, vol. 129, pp. 255-261,1998.

  5. Choi, S.U. and Eastman, J.A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Proc. of the Int. Mechanical Engineering Congress and Exhibition, San Francisco, CA, 1995.

  6. Curle, N., Development and Separation of a Laminar Boundary Layer with an Exponentially Increasing Pressure Gradient, Q. J. Mech. Appl. Math, vol. 34, pp. 383-395,1981.

  7. Forchheimer, P. Wasserbewegung durchboden, Zeit Ver Deut Ing., pp. 1782-1788,1901.

  8. Hayat, T., Haider, F., Muhammad, T., and Alsaedi, A., Numerical Study for Darcy-Forchheimer Flow of Nanofluid due to an Exponentially Stretching Curved Surface, Results Phys., vol. 8, pp. 764-771,2018.

  9. Inouye, K. and Tate, A., Finite-Difference Version of Quasi-Linearization Applied to Boundary-Layer Equations, AIAA J., vol. 12, no. 4, pp. 558-560,1974.

  10. Jawad, M., Shah, Z., Islam, S., Bonyah, E., and Khan, A., Darcy-Forchheimer Flow of MHD Nanofluid Thin Film Flow with Joule Dissipation and Navier's Partial Slip, J. Phys. Commun., vol. 2, no. 11, pp. 1-18,2018.

  11. Khan, W. and Pop, I., Boundary-Layer Flow of a Nanofluid past a Stretching Sheet, Int. J. Heat Mass Transf., vol. 53, no. 11, pp. 2477-2483,2010.

  12. Majeed, A., Zeeshan, A., and Noori, F., Numerical Study of Darcy-Forchheimer Model with Activation Energy Subject to Chemically Reactive Species and Momentum Slip of Order Two, AIP Adv., vol. 9, p. 045035,2019.

  13. Muskat, M.W.R.D., The Flow of Homogeneous Fluids through Porous Media, Ann Arbor, N4, Michigan: Edwards, 1946.

  14. Singh, P.J. and Roy, S., Unsteady Mixed Convection Flow over a Vertical Cone due to Iimpulsive Motion, Int. J. Heat Mass Transf., vol. 50, nos. 5-6, pp. 949-959,2007.

  15. Patil, P., Kumbarwadi, N., and Momoniat, E., Influence of Chemically Reactive Species and a Volumetric Heat Source or Sink on Mixed Convection over an Exponentially Decreasing Mainstream: Patil et al., Heat Transf.-Asian Res., vol. 47,2017a.

  16. Patil, P., Ramane, H., Roy, S., Hindasageri, V., and Momoniat, E., Influence of Mixed Convection in an Exponentially Decreasing External Flow Velocity, Int. J. Heat Mass Transf., vol. 104, pp. 392-399,2017b.

  17. Patil, P., Shashikant, A., Roy, S., and Momoniat, E., Unsteady Mixed Convection over an Exponentially Decreasing External Flow Velocity, Int. J. Heat Mass Transf., vol. 111, pp. 643-650,2017c.

  18. Revathi, G., Revathy, M., Marudai, M., and Jayanthi, S., Steady Electrical MHD Mixed Convection Flow of Nanofluid under the Influence of Exponentially Decreasing Free Stream Velocity with the Effect of Heat Generation/Absorption, J. Nanofluids, vol. 8,pp. 1273-1280,2019.

  19. Revathi, G. and Marudai, M., Heat and Mass Transfer on Forced Convective Nanofluid Flow over Diverging Channel in the Presence of Non-Uniform Slot Suction/Injection, J. Nanofluids, vol. 6, pp. 777-783,2017.

  20. Roy, S. and Saikrishnan, Multiple Slot Suction/Injection into an Exponentially Decreasing Free Stream Flow, Int. Commun. Heat Mass Transf., vol. 35, pp. 163-168,2008.

  21. Sadiq, M.A. and Hayat, T., Darcy Forchheimer Flow of Magneto Maxwell Liquid Bounded by Convectively Heated Sheet, Results Phys, vol. 6, pp. 884-890,2016.

  22. Srinivasacharya, D. and Kumar, V., Mixed Convection over an Inclined Wavy Surface in a Nanofluid Saturated Non-Darcy Porous Medium with Radiation Effect, Int. J. Chem. Eng., vol. 2015, pp. 1-15,2015.

  23. Varga, R.S., Matrix Iterative Analysis, 2nd ed., New York: Springer, 2009.

  24. Wong, K.V. and Leon, O.D., Applications ofNanofluids: Current and Future, Adv. Mech. Eng., vol. 2, pp. 519-659,2010.


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