Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T14:49:58.510Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetohydrodynamic, Thermal Radiation and Convective Boundary Effects of Free Convection Flow Past a Vertical Plate Embedded in a Porous Medium Saturated with a Nanofluid

Published online by Cambridge University Press:  17 July 2015

H. Ali Agha ,
M. N. Bouaziz  and
S. Hanini
H. Ali Agha*
Affiliation:
Department of Mechanical Engineering Faculty of Technology University of A. MIRA Bejaia, Algeria Biomaterials and Transport Phenomena Laboratory University of Medea Medea, Algeria
M. N. Bouaziz
Affiliation:
Biomaterials and Transport Phenomena Laboratory University of Medea Medea, Algeria
S. Hanini
Affiliation:
Biomaterials and Transport Phenomena Laboratory University of Medea Medea, Algeria
*
* Corresponding author ([email protected])
Get access

Abstract

A numerical analysis was performed to study the effects of combined magnetohydrodynamic and thermal radiation under convective boundary condition over a semi infinite vertical plate embedded in a non-Darcy porous medium. Coupled heat and mass transfer of free convective boundary layer with viscous nanofluid are considered. The model used for the nanofluid includes the effects of Brownian motion and thermophoresis mechanisms, while the Darcy-Forchheimer model is used for the porous medium. The governing partial differential equations are transformed into the ordinary differential equations using the similarity transformations. The accuracy of the method is observed by a comparison with other works reduced to a common case. Many results are tabulated and representative set is displayed graphically to illustrate the influence of the various parameters of interest on different profiles. Extensive numerical investigations show that the flow field, temperature, concentration and nanoparticle volume fraction shapes are significantly influenced by magnetic parameter, regular Lewis number, Brownian motion parameter, thermophoresis parameter, regular buoyancy ratio parameter and Biot number. Heat and mass transfer rates are significantly affected by the level of the applied magnetic field and the convective heat coefficient.

Keywords

Porous mediumNanofluidMagnetic fieldThermal radiation
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 5 , October 2015 , pp. 607 - 616
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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

1.Buongiorno, J., “Convective Transport in Nanofluids,” Journal of Heat Transfer, 128, pp. 240–250 (2006).Google Scholar
2.Das, S. K., Choi, S. U. S., Yu, W., and Pradeep, T., Nanofluids: Science and Technology, 1st Edition, Wiley, New Jersey (2007).CrossRefGoogle Scholar
3.Kakaç, S. and Pramuanjaroenkij, A., “Review of Convective Heat Transfer Enhancement with Nanofluids,” International Journal of Heat and Mass Transfer, 52, pp. 187–3196 (2009).Google Scholar
4.Witharana, S., Chen, H. and Ding, Y., “Stability of Nanofluids in Quiescent and Shear Flow Fields,” Nanoscale Research Letters, doi:10.1186/1556–276X-6–231 (2011).Google Scholar
5.Chen, H., Witharana, S., Jin, Y., Kim, C. and Ding, Y., “Predicting Thermal Conductivity of Liquid Suspensions of Nanoparticles (Nanofluids) Based on Rheology,” Particuology, 7, pp. 151–157 (2009).Google Scholar
6.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,” International Journal of Heat and Mass Transfer, 52, pp. 5792–5795 (2009).Google Scholar
7.Kuznetsov, A. V. and Nield, D. A., “Effect of Local Thermal Non-Equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid,” Transport in Porous Media, 83, pp. 425–436 (2010).Google Scholar
8.Ahmad, S. 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. 987–991 (2010).Google Scholar
9.Cheng, C., Y., “Natural Convection Boundary Layer Flow over a Truncated Cone in a Porous Medium Saturated by a Nanofluid,” International Communications in Heat and Mass Transfer, 39, pp. 231–235 (2012).CrossRefGoogle Scholar
10.Aziz, A., Khan, W. A. and Pop, I., “Free Convection Boundary Layer Flow Past a Horizontal Flat Plate Embedded in Porous Medium Filled by Nanofluid Containing Gyrotactic Microorganisms,” International Journal of Thermal Sciences, 56, pp. 48–57 (2012).Google Scholar
11.Rashad, A. M., EL-Hakiem, M. A. and Abdou, M. M. M., “Natural Convection Boundary Layer of a Non-Newtonian Fluid About a Permeable Vertical Cone Embedded in a Porous Medium Saturated with a Nanofluid,” Computers and Mathematics with Applications, 62, pp. 3140–3151 (2011).Google Scholar
12.Hady, F. M., Ibrahim, F. S., Abdel-Gaied, S. M. and Eid, M. R., “Effect of Heat Generation/Absorption on Natural Convective Boundary-Layer Flow from a Vertical Cone Embedded in a Porous Medium Filled with a Non-Newtonian Nanofluid,” International Communications in Heat and Mass Transfer, 38, pp. 1414–1420 (2011).Google Scholar
13.Noghrehabadi, A., Behseresht, A. and Ghalambaz, M., “Natural Convection of Nanofluid over Vertical Plate Embedded in Porous Medium: Prescribed Surface Heat Flux,” Applied Mathematics and Mechanics, 34, pp. 669–686 (2013).Google Scholar
14.Mahdy, A. and Sameh, E., Ahmed, , “Laminar Free Convection over a Vertical Wavy Surface Embedded in a Porous Medium Saturated with a Nanofluid,” Transport in Porous Media, 91, pp. 423–435 (2012).CrossRefGoogle Scholar
15.Gorla, R. S. R., Chamkha, A. J. 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 Research Letters, doi:10.1186/1556–276X-6–207 (2011).Google Scholar
16.Rosca, A. V., Rosca, N. C., Grosan, T., Pop, I “Non-Darcy Mixed Convection from a Horizontal Plate Embedded in a Nanofluid Saturated Porous Media,” International Communications in Heat and Mass Transfer, 39, pp. 1080–1085 (2012).CrossRefGoogle Scholar
17.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. 553–564 (2013).Google Scholar
18.Murthy, P. V. S. N., RamReddy, C., Chamkha, A. J. and Rashad, A. M., “Magnetic Effect on Thermally Stratified Nanofluid Saturated Non-Darcy Porous Medium Under Convective Boundary Condition,” International Communications in Heat and Mass Transfer, 47, pp. 41–48 (2013).Google Scholar
19.Pal, D., Vajravelu, K. and Mandal, G., “Convective-Radiation Effects on Stagnation Point flow of Nanofluids over a Stretching/Shrinking Surface with Viscous Dissipation,” Journal of Mechanics, 30, pp. 289–297 (2014).Google Scholar
20.Sheikholeslami, M., Hatami, M. and Ganji, D. D., “Analytical Investigation of MHD Nanofluid Flow in a Semi-Porous Channel,” Powder Technology, 246, pp. 327–336 (2013).CrossRefGoogle Scholar
21.Mahmoudi, A. H., Pop, I., Shahi, M. and Talebi, F., “MHD Natural Convection and Entropy Generation in a Trapezoidal Enclosure Using Cu-Water Nanofluid,” Computers & Fluids, 72, pp. 46–62 (2013).Google Scholar
22.Kandasamy, R., Muhaimin, I. and Kamachi, G., “Scaling Group Transformation for the Effect of Temperature-Dependent Nanofluid Viscosity on an Mhd Boundary Layer Past a Porous Stretching Surface,” Journal of Applied Mechanics Technical Physics, 52, pp. 931–940 (2011).CrossRefGoogle Scholar
23.Rosmila, A. B., Kandasamy, R. and Muhaimin, I., “Lie Symmetry Group Transformation for MHD Natural Convection Flow of Nanofluid over Linearly Porous Stretching Sheet in Presence of Thermal Stratification,” Applied Mathematics and Mechanics, 33, pp. 593–604 (2012).Google Scholar
24.Prasad, V. R., Vasu, B., Anwar, , Bég, O. and Parshad, R. D., “Thermal Radiation Effects on Magnetohydrodynamic Free Convection Heat and Mass Transfer from a Sphere in a Variable Porosity Regime,” Communications in Nonlinear Science and Numerical Simulation, 17, pp. 654–671 (2012).CrossRefGoogle Scholar
25.Nield, D. A. and Bejan, A., Convection in Porous Media, 3rd Edition, Springer, New York (2006).Google Scholar
26.Aziz, A. and Khan, W. A., “Natural Convective Boundary Layer Flow of a Nanofluid Past a Convec-tively Heated Vertical Plate,” International Journal of Thermal Sciences, 52, pp. 83–90 (2012).Google Scholar