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BUONGIORNO'S NANOFLUID MODEL FOR MIXED CONVECTION FLOW OVER A VERTICAL POROUS WEDGE WITH CONVECTIVE BOUNDARY CONDITIONS

Volume 23, Issue 10, 2020, pp. 1001-1014
DOI: 10.1615/JPorMedia.2020028850
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ABSTRACT

An exploration of the state of mixed convection flow due to an isothermal vertical wedge submersed in saturated porous medium utilizing Buongiorno's nanofluid paradigm is the primary intention of our research. In this pioneering investigation, Buongiorno's nanofluid model that encompasses the effects of both Brownian motion and thermophoresis is employed. The paradigm regards the case in which the nanofluid particle fraction on the boundary layer is passively rather than actively controlled. The wall of the wedge is submersed in a uniform porous medium, and the convective boundary condition has been employed over the wedge wall. Upon the Oberbeck-Boussinesq approximation and non-similarity transformation, the nonlinear set equations are obtained and tackled numerically by using the R.K. Gill and shooting method. A parametric study of the entire flow regime is procured to clarify the effects of the controlled parameters such as: wedge angle parameter M (0 ≤ M ≤ 1), buoyancy ratio parameter Nr (-1 ≤ Nr ≤ 1), mixed convection parameter ε, (0 ≤ ε ≤ 1), Biot number Bi (0.1 ≤ Bi ≤ ∞), Brownian motion parameter Nb (0.4 ≤ Nb ≤ 1.2), thermophoresis parameter Nt (0.1 ≤ Nt ≤ 1), and Lewis number Le (1 ≤ Le ≤ 10); the results are likened with the available data in the open literature and detected to be in very good harmony. The prominent features of the achieved outcome have been construed and depicted.

REFERENCES
  1. Abu-Nada, E. and Oztop, H.F., Effects of Inclination Angle on Natural Convection in Enclosures Filled with Cu-Water Nanofluid, Int. J. Heat Fluid Flow, vol. 30, pp. 669-678, 2009. .

  2. Ahmed, S.E. and Aly, A.M., Non-Darcian and Anisotropic Effects on the Conjugate Heat Transfer in a Porous Enclosure with Finite Thickness Walls, J. Porous Media, vol. 17, no. 4, pp. 337-345, 2014. .

  3. Ahmed, S.E. and Rashad, A.M., Natural Convection of Micropolar Nanofluids in a Rectangular Enclosure Saturated with Anisotropic Porous Media, J. Porous Media, vol. 19, no. 8, pp. 737-750, 2016. .

  4. Bakier, A.Y., Thermal Radiation Effect of Mixed Convection from Vertical Surfaces in Saturated Porous Media, Int. Commun. Heat Mass Transf., vol. 28, pp. 119-126, 2001. .

  5. Buongiorno, J., Convective Transport in Nanofluids, J. Heat Transf., vol. 128, pp. 240-250, 2006. .

  6. Chamkha, A. and Ben-Nakhi, A., MHD Mixed Convection-Radiation Interaction along a Permeable Surface Immersed in a Porous Medium in the Presence of Soret and Dufour Effects, Heat Mass Transf., vol. 44, pp. 845-856, 2008. .

  7. Chamkha, A., Aly, A.M., and Al-Mudhaf, H., Laminar MHD Mixed Convection Flow of a Nanofluid along a Stretching Permeable Surface in the Presence of Heat Generation or Absorption Effects, Int. J. Microsc. Nanosc. Therm. Fluid Transp. Phenom., vol. 2, pp. 51-70, 2011a. .

  8. Chamkha, A., Rama, S.R.G., and Kaustubh, G., Non-Similar Solution for Natural Convective Boundary Layer Flow over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid, Transp. Porous Media, vol. 86, pp. 13-22, 2011b. .

  9. Chamkha, A., Abbasbandy, S., Rashad, A.M., and Vajravelu, K., Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid, Transp. Porous Media, vol. 91, pp. 261-279, 2012. .

  10. Chen, H. and Ding, Y., Heat Transfer and Rheological Behavior of Nanofluids: A Review, Adv. Trans. Phenom, vol. 1, pp. 135-177, 2009. .

  11. Cheng, C.-Y., Soret Dufour Effects on Mixed Convection Heat and Mass Transfer from a Vertical Wedge on a Porous Medium with Constant Wall Temperature and Concentration, Transp. Porous Media, vol. 94, pp. 123-132,2012. .

  12. Cheng, P. and Minkowycz, W.J., Free Convection about a Vertical Flat Plate Embedded in a Porous Medium with Application to Heat Transfer from a Dike, J. Geophys. Res, vol. 28, pp. 2040-2044, 1977. .

  13. Choi, U.S.U., Enhancing Thermal Conductivity of Fluids with Nanoparticle, in Developments and Applications of Non-Newtonian Flows, D.A. Siginer and H.P. Wang, Eds., New York: ASME FED, 231/MD vol. 66, pp. 99-105, 1995. .

  14. Congedo, P.M. and Collura, S., Modeling and Analysis of Natural Convection Heat Transfer in Nanofluids, Proc. ASME Summer Heat Transfer Conf., vol. 3, pp. 569-579, 2009. .

  15. Duangthongsuk, W. and Wongwises, S., Effect of Thermophysical Properties Models on the Predicting of the Convective Heat Transfer Coefficient for Low Concentration Nanofluid, Int. Commun. Heat Mass Transf., vol. 35, pp. 1320-1326, 2008. .

  16. Eastman, J.A., Choi, S.U.S., Li, S., Yu, W., and Thompson, L.J., Anomalously Increased Effective Thermal Conductivity of Ethylene Glycol-BasedNanofluids Containing Copper Nanoparticles, Appl. Phys. Lett., vol. 78, pp. 718-720, 2001. .

  17. Gorla, R.S.R., Chamkha A., and Rashad, A.M., Mixed Convective Boundary Layer Flow over a Vertical Wedge Embedded in a Porous Medium Saturated with a Nanofluid: Natural Convection Dominated Regime, Nanoscale Res. Lett., vol. 6, pp. 207-216, 2011a. .

  18. Gorla, R.S.R., El-Kabeir, S.M.M., and Rashad, A.M., Heat Transfer in the Boundary Layer on a Stretching Circular Cylinder in a Nanofluid, J. Thermophys. Heat Transf., vol. 25, pp. 183-186, 2011b. .

  19. Hayat, T., Abbasi, F.M., Al-Yami, M., and Monaquel, S., Slip and Joule Heating Effects in Mixed Convection Peristaltic Transport of Nanofluid with Soret and Dufour Effects, J. Mol. Liq, vol. 194, pp. 93-99, 2014. .

  20. Hsieh, J.C., Chen, T. S., and Armaly, B.F., Mixed Convection along a Non-Isothermal Vertical Plate Embedded in a Porous Medium: The Entire Regime, Int. J. Heat Mass Transf., vol. 36, pp. 1819-1825,1993. .

  21. Keblinski, P., Phillpot, S.R., Choi, S.U.S., and Eastman, J.A., Mechanisms of Heat Flow in Suspensions of Nano-Sized Particles (Nanofluids), Int. J. Heat Mass Transf., vol. 45, no. 4, pp. 855-863, 2002. .

  22. Kumari, M. and Gorla, R.S.R., Combined Convection along a Non-Isothermal Wedge in a Porous Medium, Heat Mass Transf., vol. 32, pp. 393-398, 1997. .

  23. Kuznetsov, A.V. and Nield, D.A., The Cheng-Minkowycz Problem for Natural Convective Boundary Layer Flow in a Porous Medium Saturated by a Nanofluid: A Revised Model, Int. J. Heat Mass Transf., vol. 65, pp. 682-685,2013. .

  24. Kuznetsov, A.V. and Nield, D.A., Natural Convective Boundary-Layer Flow of a Nanofluid past a Vertical Plate: A Revised Model, Int. J. Therm. Sci, vol. 77, pp. 126-129, 2014. .

  25. Lee, S., Choi, S.U.S., Li, S., and Eastman, J.A., Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles, ASMEJ. Heat Transf., vol. 121, pp. 280-289, 1999. .

  26. Mahdy, A., Unsteady Mixed Convection Boundary Layer Flow and Heat Transfer Nanofluids due to Stretching Sheet, Nucl. Eng. Design, vol. 249, pp. 248-255, 2012. .

  27. Mahdy, A. and Ahmed, S.E., Laminar Free Convection over a Vertical Wavy Surface Embedded in a Porous Medium Saturated with a Nanofluid, Transp. Porous Media, vol. 91, pp. 423-435, 2012. .

  28. Mansour, A.M., Mahdy, A., Mohamed, R.A., and Ahmed, S.E., Thermal Non-Equilibrium Modeling of Unsteady Natural Convection in Trapezoidal Enclosures in the Presence of Thermal Radiation: Effect of Exponential Variation of Boundary Conditions, Special Topics Rev. Porous Media Int. J., vol. 2, no. 4, pp. 323-333, 2011. .

  29. Mansour, M.A., Ahmed, S.E., and Bakier, M.A.Y., Free Convection in H-Shaped Enclosures Filled with a Porous Medium Saturated with Nanofluids with Mounted Heaters on the Vertical Walls, Special Topics Rev. Porous Media Int. J., vol. 4, no. 3, pp. 287-297, 2013. .

  30. Nield, D.A. and Kuznetsov, A.V., The Cheng-Minkowycz Problem for Natural Convective Boundary Layer Flow in a Porous Medium Saturated by a Nanofluid, Int. J. Heat Mass Transf., vol. 52, pp. 5792-5795,2009. .

  31. Pandey, A.K. and Kumar, M., Effect of Viscous Dissipation and Suction/Injection on MHD Nanofluid Flow over a Wedge with Porous Medium and Slip, Alexandria Eng. J, vol. 55, no. 4, pp. 3115-3123, 2016. .

  32. Pandey, A.K. and Kumar, M., Natural Convection and Thermal Radiation Influence on Nanofluid Flow over a Stretching Cylinder in a Porous Medium with Viscous Dissipation, Alexandria Eng. J, vol. 56, pp. 55-62, 2017. .

  33. Patel, H.E., Das, S.K., Sundararajan, T., Sreekumaran, A., George, B., and Pradeep, T., Thermal Conductivities of Naked and Monolayer Protected Metal Nanoparticle based Nanofluids: Manifestation of Anomalous Enhancement and Chemical Effects, Appl. Phys. Lett., vol. 83, pp. 2931-2933,2003. .

  34. Ranganathan, P. and Viskanta, R., Mixed Convection Boundary Layer Flow along a Vertical Surface in a Porous Medium, Numer. Heat Transf., vol. 7, pp. 305-317, 1984. .

  35. Rashad, A.M., Gorla, R.S.R., Mansour, M.A., and Ahmed, S.E., Magnetohydrodynamic Effect on Natural Convection in a Cavity Filled with a Porous Medium Saturated with Nanofluid, J. Porous Media, vol. 20, no. 4, pp. 363-379, 2017. .

  36. Rashidi, M.M., Beg, O.A., Asadi, M., and Rastegari, M.T., DTM-Pade Modeling of Natural Convective Boundary Layer Flow of a Nanofluid past a Vertical Surface, Int. J. Therm. Environ. Eng., vol. 4, pp. 13-24,2012. .

  37. Rashidi, M.M., Ganesh, N.V., Hakeem, A.K.A., and Ganga, B., Buoyancy Effect on MHD Flow of Nanofluid over a Stretching Sheet in the Presence of Thermal Radiation, J. Mol. Liq., vol. 198, pp. 234-238,2014. .

  38. Sheikholeslami, M. and Ganji, D.D., Magnetohydrodynamic Flow in a Permeable Channel Filled with Nanofluid, Scientia Iranica B, vol. 21, pp. 203-212,2014. .

  39. Srinivasacharya, D. and Surender, O., Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects, Int. J. Eng. Math., vol. 2014, article ID 126218,2014. .

  40. Turkyilmazoglu, M., Nanofluid Flow and Heat Transfer due to a Rotating Disk, Comput. Fluids, vol. 94, pp. 139-146,2014. .

  41. Vargas, J.V.C., Laursen, T.A., and Bejan, A., Nonsimilar Solutions for Mixed Convection on a Wedge Embedded in a Porous Medium, Int. J. Heat Fluid Flow, vol. 16, pp. 211-216, 1995. .

  42. Wang, X.Q. and Mujumdar, A.S., Heat Transfer Characteristics of Nanofluids: A Review, Int. J. Therm. Sci., vol. 46, pp. 1-19, 2007. .

  43. Yih, K.A., Radiation Effect on Mixed Convection over an Isothermal Wedge in Porous Media: The Entire Regime, Heat Transf. Eng., vol. 22, pp. 26-32, 2001. .

  44. Zhang, C., Zheng, L., Zhang, X., and Chen, G., MHD Flow and Radiation Heat Transfer of Nanofluids in Porous Media with Variable Surface Heat Flux and Chemical Reaction, Appl. Math. Model., vol. 39, pp. 165-181, 2015. .

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  2. Zhang Jiaojiao, Liu Shengna, Zheng Liancun, Turbulent boundary layer heat transfer of CuO–water nanofluids on a continuously moving plate subject to convective boundary, Zeitschrift für Naturforschung A, 77, 4, 2022. Crossref

  3. Ahmed Sameh E., Raizah Zehba A.S., FEM treatments for MHD radiative convective flow of MWCNTs C2H6O2 nanofluids between inclined hexagonal/hexagonal or hexagonal/cylinder, Ain Shams Engineering Journal, 13, 2, 2022. Crossref

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