Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
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.2018019453
pages 205-218

EFFECTS OF NONLINEAR CONVECTION AND CROSS-DIFFUSION FOR THE FLOW OF DARCY-FORCHHEIMER MODEL MICROPOLAR FLUID WITH CONVECTIVE BOUNDARY CONDITION

Chetteti RamReddy
Department of Mathematics, National Institute of Technology, Warangal 506004, India
Padigepati Naveen
Department of Mathematics, National Institute of Technology, Warangal 506004, India
D. Srinivasacharya
Department of Mathematics, National Institute of Technology, Warangal-506004, India

RÉSUMÉ

In this article, the collective influence of nonlinear convection and cross-diffusion effects is studied in non-Darcian micropolar fluid flow over an inclined plate with convective thermal boundary condition. The governing equations of the physical model are cast into a sequence of ordinary differential equations by the local nonsimilarity transformation technique. The transformed set of equations is solved numerically by applying a successive linearization method. This significant study addresses the influence of various pertinent parameters on the fluid characteristics and the solutions are discussed through graphs. The influence of the nonlinear density-concentration parameter is additionally outstanding on all the physical characteristics of the present model compared to the nonlinear density-temperature parameter. The cross-diffusion coefficients (Soret and Dufour numbers) have opposite influences on Nusselt and Sherwood numbers. Applications of the present study arise in aerosol technology, space technology, astrophysics, and geophysics, which are related to temperature-concentration-dependent density.

RÉFÉRENCES

  1. Awad, F., Sibanda, P., Motsa, S.S., and Makinde, O.D., Convection from an Inverted Cone in a Porous Medium with Cross- Diffusion Effects, Comp. Mathe. Appl., vol. 61, no. 5, pp. 1431–1441, 2011.

  2. Barrow, H. and Sitharamarao, T., Effect of Variation in Volumetric Expansion Coefficient on Free Convection Heat Transfer, British Chemi. Eng., vol. 16, no. 8, pp. 704–709, 1971.

  3. Canuto, C., Hussaini, M., Quarteroni, A., and Zhang, T., Spectral Methods in Fluid Turbulence, Berlin, Germany: Springer, 1988.

  4. Cowin, S., Polar fluids, Phys. Fluid., vol. 11, no. 9, pp. 1919–1927, 1968.

  5. Eremeyev, V.A., Lebedev, L.P., and Altenbach, H., Kinematics of Micropolar Continuum, Berln, Germany: Springer-Verlag, 2013.

  6. Eringen, A.C., Theory of Micropolar Fluids, J. Math. Mech., vol. 16, pp. 1–18, 1966.

  7. Hayat, T., Mustafa, M., and Obaidat, S., Soret and Dufour Effects on the Stagnation-Point Flow of a Micropolar Fluid toward a Stretching Sheet, J. Fluids Eng., vol. 133, no. 2, p. 021202, 2011. DOI: 10.1115/1.4003505

  8. Kameswaran, P., Sibanda, P., Partha,M., and Murthy, P., Thermophoretic and Nonlinear Convection in Non-Darcy Porous Medium, J. Heat Transf., vol. 136, no. 4, p. 042601, 2014. DOI: 10.1115/1.4025902

  9. Khidir, A.A., Narayana, M., Sibanda, P., and Murthy, P., Natural Convection from a Vertical Plate Immersed in a Power-Law Fluid Saturated Non-Darcy Porous Medium with Viscous Dissipation and Soret Effects, Afr. Matematika, vol. 26, nos. 7-8, pp. 1495–1518, 2015.

  10. Lloyd, J. and Sparrow, E., Combined Forced and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transf., vol. 13, no. 2, pp. 434–438, 1970.

  11. Lukaszewicz, G., Micropolar Fluids: Theory and Applications, Berlin, Germany: Springer Science and Business Media, 1999.

  12. Makinde, O. and Aziz, A., MHD Mixed Convection from a Vertical Plate Embedded in a Porous Medium with a Convective Boundary Condition, Int. J. Therm. Sci., vol. 49, no. 9, pp. 1813–1820, 2010.

  13. Makinde, O., Zimba, K., and Beg, O.A., Numerical Study of Chemically-Reacting Hydromagnetic Boundary Layer Flow with Soret/Dufour Effects and a Convective Surface Boundary Condition, Int. J. Therm. Environ. Eng., vol. 4, no. 1, pp. 89–98, 2012.

  14. Makukula, Z.G., Sibanda, P., and Motsa, S.S., A Novel Numerical Technique for Two-Dimensional Laminar Flow between Two Moving Porous Walls, Math. Prob. Eng., p. 528956, 2010. DOI: 10.1155/2010/528956

  15. Nield, D. and Bejan, A., Convection in Porous Media, 4th ed., New York, NY: Springer, 2013.

  16. Pal, D., Mandal, G., and Vajravalu, K., Soret and Dufour Effects on MHD Convective–Radiative Heat and Mass Transfer of Nanofluids over a Vertical Non-Linear Stretching/Shrinking Sheet, Appl. Math. Comp., vol. 287, pp. 184–200, 2016.

  17. Partha, M., Nonlinear Convection in a Non-Darcy Porous Medium, Appl. Mathe. Mech., vol. 31, no. 5, pp. 565–574, 2010.

  18. RamReddy, C. and Pradeepa, T., Spectral Quasi-Linearization Method for Homogeneous-Heterogeneous Reactions on Nonlinear Convection Flow ofMicropolar Fluid Saturated Porous Medium with Convective Boundary Condition, Open Eng., vol. 6, no. 1, pp. 106–119, 2016. DOI: 10.1515/eng-2016-0015

  19. Ramzan, M., Farooq, M., Hayat, T., and Chung, J.D., Radiative and Joule Heating Effects in the MHD Flow of a Micropolar Fluid with Partial Slip and Convective Boundary Condition, J. Mole. Liq., vol. 221, pp. 394–400, 2016.

  20. Sparrow, E. and Yu, H., Local Non-Similarity Thermal Boundary-Layer Solutions, J. Heat Transf., vol. 93, no. 4, pp. 328–334, 1971.

  21. Srinivasacharya, D. and RamReddy, C., Mixed Convection Heat and Mass Transfer in a Doubly Stratified Micropolar Fluid, Comp. Ther. Sci., vol. 5, no. 4, 2013.

  22. Srinivasacharya, D., RamReddy, C., Pranitha, J., and Postelnicu, A., Soret and Dufour Effects on Non-Darcy Free Convection in a Power-Law Fluid in the Presence of a Magnetic Field and Stratification, Heat Transf. Asian Res., vol. 43, no. 7, pp. 592–606, 2014.

  23. Srinivasacharya, D., RamReddy, C., Naveen, P., and Surender, O., Non-Darcy Mixed Convection Flow past a Vertical Porous Plate with Joule Heating, Hall and Ion-Slip Effects, Procedia Eng., vol. 127, pp. 162–169, 2015.

  24. Swapna, G., Kumar, L., Beg, O.A., and Singh, B., Finite Element Analysis of Radiative Mixed Convection Magneto-Micropolar Flow in a Darcian Porous Medium with Variable Viscosity and Convective Surface Condition, Heat Transf. Asian Res., vol. 44, no. 6, pp. 515–532, 2015.

  25. Vajravelu, K. and Sastri, K., Fully Developed Laminar Free Convection Flow between Two Parallel Vertical Walls-I, Int. J. Heat Mass Transf., vol. 20, no. 6, pp. 655–660, 1977.


Articles with similar content: