Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T16:05:54.577Z Has data issue: false hasContentIssue false

Soret- Dufour Effect on Mixed Convection Past a Vertical Plate in Non-Darcy Porous Medium Saturated With Buongiorno Nanofluid in the Presence of Thermal Dispersion

Published online by Cambridge University Press:  08 August 2019

A. Aghbari
Affiliation:
Laboratoire de Mécanique, Matériaux et Energétique (L2ME), Faculté de Technologie, Université de Bejaia, 06000 Bejaia, Algérie.
H. Ali Agha*
Affiliation:
Laboratoire de Mécanique, Matériaux et Energétique (L2ME), Faculté de Technologie, Université de Bejaia, 06000 Bejaia, Algérie.
D. Sadaoui
Affiliation:
Laboratoire de Mécanique, Matériaux et Energétique (L2ME), Faculté de Technologie, Université de Bejaia, 06000 Bejaia, Algérie.
*
*Corresponding author (hamzamedea20011@gmail.com)
Get access

Abstract

Numerical analysis was investigated for steady two-dimensional double diffusive mixed convection boundary layer flow over a semi-infinite vertical plate embedded non-Darcy porous medium filled with nanofluid, in presence of thermal dispersion and under convective boundary conditions. The Buongiorno nanofluid model is used, while the porous medium is described by the Darcy-Forchheimer extension. The governing partial differential equations are transformed into four coupled nonlinear ordinary differential equations using an appropriate similarity transformations and the resulting system of equations is then solved numerically by the finite-difference method. Numerical results are presented to illustrate how the physical parameters affect the flow field, temperature, concentration and solid volume fraction profiles. In addition, the variation of heat, mass and nanoparticle transfer rates at the plate are exhibited graphically for different values of pertinent parameters.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Wang, X. Q. and Mujumdar, A. S., “Heat transfer characteristics of nanofluids: a review,” International Journal of Thermal Sciences, 46, pp. 119 (2007).CrossRefGoogle Scholar
Choi, U. S., “Enhancing thermal conductivity of fluids with nanoparticles,” Developments and Applications of Non-Newtonian Flows, ASME FED, 231, pp. 99105 (1995).Google Scholar
Das, S. K., Choi, S. U. S., Yu, W. and Pradeep, T., Nanofluids: Science and Technology, 1st Edition, Wiley, New Jersey (2007).CrossRefGoogle Scholar
Sheikholeslami, M. and Ganji, D. D., “Nanofluid Convective Heat Transfer Using Semi Analytical and Numerical Approaches: A Review,” Journal of the Taiwan Institute of Chemical Engineers, 65, pp. 4377 (2016).CrossRefGoogle Scholar
Vadasz, P., Emerging Topics in Heat and Mass Transfer in Porous Media, volume 22, Springer, New York (2008).CrossRefGoogle Scholar
Wang, X. Q. and Mujumdar, A. S., “A review on nanofluids-part I: theoretical and numerical investigations,” Brazilian Journal of Chemical Engineering, 25, pp. 613630 (2008).CrossRefGoogle Scholar
Wang, X. Q. and Mujumdar, A. S., “A review on nanofluids-part II: experiments and applications,” Brazilian Journal of Chemical Engineering, 25, pp. 631648 (2008).CrossRefGoogle Scholar
Kakac, S. and Pramuanjaroenkij, A., “Review of convective heat transfer enhancement with nanofluids,” International Journal of Heat and Mass Transfer, 52, pp. 31873196 (2009).CrossRefGoogle Scholar
Nield, D. A. and Bejan, A., Convection in Porous Media, 5th Edition, Springer, New York (2017).CrossRefGoogle Scholar
Ingham, D. B. and Pop, I., Transport Phenomena in Porous Media, volume 3, Elsevier, Oxford (2005).Google Scholar
Khan, W. A. and Aziz, A., “Double-Diffusive Natural Convective Boundary Layer Flow in a Porous Medium Saturated with a Nanofluid Over a Vertical Plate: Prescribed Surface Heat, Solute and Nanoparticle Fluxes,” International Journal of Thermal Sciences, 50, pp. 21542160 (2011).CrossRefGoogle Scholar
Nield, D. A. and Kuznetsov, A. V., “The Cheng–Minkowycz Problem for the Double-Diffusive Natural Convective Boundary Layer Flow in a Porous Medium Saturated by a Nanofluid,” International Journal of Heat and Mass Transfer, 54, pp. 374378 (2011).CrossRefGoogle Scholar
Buongiorno, J., “Convective Transport in Nanofluids,” Journal of Heat Transfer, 128, pp. 240250 (2006).CrossRefGoogle Scholar
Syakila, A. and Pop, I., “Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids,” International Communications in Heat and Mass Transfer, 37, pp. 987991 (2010).Google Scholar
Tiwari, R. K. and Das, M. K., “Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids,” International Journal of Heat and Mass Transfer, 50, pp. 20022018 (2007).CrossRefGoogle Scholar
Ali Agha, H., Bouaziz, M. N. and Hanini, S., “Magnetohydrodynamic Thermal Radiation and Convective Boundary Effects of Free Convection Flow Past a Vertical Plate Embedded in a Porous Medium Saturated with a Nanofluid,” Journal of Mechanics, 31, pp. 607616 (2015).CrossRefGoogle Scholar
Srinivasacharya, D. and Surender, O., “Effect of Double Stratification on Mixed Convection Boundary Layer Flow of a Nanofluid Past a Vertical Plate in a Porous Medium,” Applied Nanoscience, 5, pp. 2938 (2015).CrossRefGoogle Scholar
Murthy, P. V. S. N., Sutradhar, A. and RamReddy, C., “Double-Diffusive Free Convection Flow Past an Inclined Plate Embedded in a Non-Darcy Porous Medium Saturated with a Nanofluid,” Transport in Porous Media, 98, pp. 553564 (2013).CrossRefGoogle Scholar
Hayat, T., Muhammad, T., Shehzad, S. A. and Alsaedi, A., “Soret and Dufour Effects in Three-Dimensional Flow over an Exponentially Stretching Surface with Porous Medium, Chemical Reaction and Heat Source/Sink,” International Journal of Numerical Methods for Heat & Fluid Flow, 25, pp. 762781 (2015).CrossRefGoogle Scholar
Hayat, T., Mustafa, M. and Pop, I., “Heat and Mass Transfer for Soret and Dufour’s Effect on Mixed Convection Boundary Layer Flow over a Stretching Vertical Surface in a Porous Medium Filled with a Viscoelastic Fluid,” Communications in Nonlinear Science and Numerical Simulation, 15, pp. 11831196 (2010).CrossRefGoogle Scholar
Nithyadevi, N. and Rajarathinam, M., “Non-Darcy Double Diffusive Mixed Convection for Nanofluid with Soret and Dufour Effects in a Lid-Driven Cavity,” International Journal of Nanoparticles, 8, pp. 218240 (2015).CrossRefGoogle Scholar
Ramzan, M., Yousaf, F., Farooq, M. and Chung, J. D., “Mixed Convective Viscoelastic Nanofluid Flow Past a Porous Media with Soret-Dufour Effects,” Communications in Theoretical Physics, 66, pp. 133142 (2016).CrossRefGoogle Scholar
Sreedevi, G., Rao, D. R. V., Makinde, O. D. and Reddy, G., “Soret and Dufour Effects on MHD Flow with Heat and Mass Transfer Past a Permeable Stretching Sheet in Presence of Thermal Radiation,” Indian Journal of Pure & Applied Physics, 55, pp. 551563 (2017).Google Scholar
Chamkha, A. J., Aly, A. M. and Raizah, Z. A. S., “Double-Diffusion MHD Free Convective Flow Along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects,” Applied and Computational Mathematics, 6, pp. 3444 (2017).CrossRefGoogle Scholar
Jha, B. K. and Babatunde, A., “Numerical Investigation of Transient Free Convective Flow in Vertical Channel Filled with Porous Material in the Presence of Thermal Dispersion,” Computational Mathematics and Modeling, 28, pp. 350367 (2017).CrossRefGoogle Scholar
Murthy, P. V. S. N., “Effect of Double Dispersion on Mixed Convection Heat and Mass Transfer in Non-Darcy Porous Medium,” Journal of Heat Transfer, 122, pp. 476484 (2000).CrossRefGoogle Scholar
Sobha, V. V., Vasudeva, R. Y., Ramakrishna, K. and Hema Latha, K., “Non-Darcy Mixed Convection with Thermal Dispersion in a Saturated Porous Medium,” Journal of Heat Transfer, 132, pp. 1450114504 (2010).CrossRefGoogle Scholar
Bouaziz, A. M. and Hanini, S., “Double Dispersion for Double Diffusive Boundary Layer in Non-Darcy Saturated Porous Medium Filled by a Nanofluid,” Journal of Mechanics, 1, pp. 111 (2016).Google Scholar
Sheremet, M. A., Revnic, C. and Pop, I., “Free Convection in a Porous Wavy Cavity Filled with a Nanofluid Using Buongiorno’s Mathematical Model with Thermal Dispersion Effect,” Applied Mathematics Computation, 299, pp. 115 (2017).CrossRefGoogle Scholar
Lai, F. C. and Kulacki, F. A., “Thermal Dispersion Effect on Non-Darcy Convection from Horizontal Surface in Saturated Porous Media,” International journal of heat and mass transfer, 32, pp. 971976 (1989).CrossRefGoogle Scholar
Lai, F. C. and Kulacki, F. A., “Non-Darcy Mixed Convection Along a Vertical Wall in a Saturated Porous Medium,” Journal of Heat Transfer, 113, pp. 252254 (1991).CrossRefGoogle Scholar
Hassanien, I. A., Bakier, A. Y. and Gorla, R. S. R., “Effects of Thermal Dispersion and Stratification on Non-Darcy Mixed Convection From a Vertical Plate in a Porous Medium,” Heat and Mass Transfer, 34, pp. 209212 (1998).CrossRefGoogle Scholar
Murthy, P. V. S. N., “Thermal Dispersion and Viscous Dissipation Effects on Non-Darcy Mixed Convection in a Fluid Saturated Porous Medium,” Heat and Mass Transfer, 33, pp. 295300 (1998).CrossRefGoogle Scholar
Murthy, P. V. S. N. and Singh, P., “Thermal Dispersion Effects on Non-Darcy Convection Over a Cone,” Computer and Mathematics with Applications, 40, pp. 14331444 (2000).CrossRefGoogle Scholar
El-Amin, M. F., “Double Dispersion Effects on Natural Convection Heat and Mass Transfer in Non- Darcy Porous Medium,” Applied Mathematics and Computation, 156, pp. 117 (2004).CrossRefGoogle Scholar
Partha, M. K., “Thermophoresis Particle Deposition in a Non-Darcy Porous Medium Under the Influence of Soret, Dufour Effects,” Heat Mass Transfer, 44, pp. 969977 (2008).CrossRefGoogle Scholar
Wong, K. V. and Leon, O. D., “Applications of nanofluids: current and future,” Advances in Mechanical Engineering, 2010, pp. 111 (2010).Google Scholar
Plumb, O. A., “The Effect of Thermal Dispersion on Heat Transfer in Packed Bed Boundary Layers,” ASME/JSME Thermal Engineering Joint Conference, 2, pp. 1721 (1983).Google Scholar
Awad, F. G., Sibanda, P. and Murthy, P. V. S. N., “A note on double dispersion effects in a nano-fluid flow in a non-Darcy porous medium,” Journal of Heat Transfer, 137, pp. 104501104505 (2015).CrossRefGoogle Scholar
Kameswaran, P. K. and Sibanda, P., “Thermal dispersion effects on convective heat and mass transfer in an Ostwald de Waele nanofluid flow in porous media,” Boundary Value Problems, 2013, pp. 24255 (2013).CrossRefGoogle Scholar
Roşsca, A. V., Roşsca, N. C. and Pop, I., “Mixed Convection Heat and Mass Transfer From a Vertical Surface Embedded in a Porous Medium,” Transport in Porous Media, 109, pp. 279295 (2015).CrossRefGoogle Scholar
Shampine, L. F., Gladwell, I. and Thompson, S., Solving ODEs with Matlab, first Edition, Cambridge University Press, New York (2003).CrossRefGoogle Scholar
Puneet, R., Bhargava, R. and Bég, O. A., “Numerical Solution for Mixed Convection Boundary Layer Flow of a Nanofluid Along an Inclined Plate Embedded in a Porous Medium,” Computers and Mathematics with Applications, 64, pp. 28162832 (2012).Google Scholar
Seddeek, M. A., “Influence of viscous dissipation and thermophoresis on Darcy–Forchheimer mixed convection in a fluid saturated porous media,” Journal of Colloid and Interface Science, 293, pp. 137142 (2006).CrossRefGoogle Scholar
RamReddy, C., Murthy, P. V. S. N., Chamkha, A. J. and Rashad, A. M., “Soret effect on mixed convection flow in a nanofluid under convective boundary condition,” International journal of heat and mass transfer, 64, pp. 384392 (2013).CrossRefGoogle Scholar
Rashad, A. M., Chamkha, A. J., RamReddy, C. and Murthy, P. V. S. N., “Effect of Viscous Dissipation on Mixed Convection in a Nanofluid Saturated Non-Darcy Porous Medium Under Convective Boundary Condition,” Journal of Nanofluids, 4, pp. 548559 (2015).CrossRefGoogle Scholar