Joule Heating and Thermal Radiation Effects on MHD Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet in a Porous Medium

Abstract

A numerical study on boundary layer flow behaviour, heat and mass transfer characteristics of a nanofluid over an exponentially stretching sheet in a porous medium is presented in this paper. The sheet is assumed to be permeable. The governing partial differential equations are transformed into coupled nonlinear ordinary differential equations by using suitable similarity transformations. The transformed equations are then solved numerically using the well known explicit finite difference scheme known as the Keller Box method. A detailed parametric study is performed to access the influence of the physical parameters on longitudinal velocity, temperature and nanoparticle volume fraction profiles as well as the local skin-friction coefficient, local Nusselt number and the local Sherwood number and then, the results are presented in both graphical and tabular forms.

Share and Cite:

Rao, J. , Vasumathi, G. and Mounica, J. (2015) Joule Heating and Thermal Radiation Effects on MHD Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet in a Porous Medium. World Journal of Mechanics, 5, 151-164. doi: 10.4236/wjm.2015.59016.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Choi, S.U.S. (1995) Enhancing Thermal Conductivity of Fluids with Nanoparticles. In: Siginer, D.A. and Wang, H.P., Eds., Developments and Applications of Non-Newtonian Flows, ASME, New York, 99-105.
[2] Eastman, J.A. and Choi, S.U.S. (1997) Enhanced Thermal Conductivity through Development of Nanofluids. MRS Proceedings, 457, 3-11.
http://dx.doi.org/10.1557/proc-457-3
[3] Routbort, J.L., Yu, D.M. and Choi, S.U.S. (2008) Review and Comparison of Nanofluid Thermal Conductivity and Heat Transfer Enhancements. Heat Transfer Engineering, 29, 432-460.
http://dx.doi.org/10.1080/01457630701850851
[4] Buongiorno, J. (2006) Convective Transport in Nanofluids. ASME Journal of Heat Transfer, 128, 240-250.
http://dx.doi.org/10.1115/1.2150834
[5] Cheng, L. (2008) Nanofluid Two Phase Flow and Thermal Physics: A New Research Frontier of Nanotechnology and Its Challenges. Journal of Nanoscience and Nanotechnology, 8, 3315-3332.
http://dx.doi.org/10.1166/jnn.2008.413
[6] Rajabpour, A. and Akizi, F.Y. (2013) Molecular Dynamics Simulation of the Specific Heat Capacity of Water-Cu Nanofluids. International Nano Letters, 3, 58.
http://dx.doi.org/10.1186/2228-5326-3-58
[7] Hu, W. and Buongiorno, J. (2005) Nanofluid Coolants for Advanced Nuclear Power Plants. Proceedings of ICAPP’05, Seoul, May 2005, 15-19.
[8] Gupta, P.S. and Gupta, A.S. (1997) Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing. The Canadian Journal of Chemical Engineering, 55, 744-746.
http://dx.doi.org/10.1002/cjce.5450550619
[9] Emmanuel, S. and Khan, S.K. (2006) On Heat and Mass Transfer in a Viscoelastic Boundary Layer Flow over an Exponentially Stretching Sheet. International Journal of Thermal Sciences, 45, 819-828.
[10] Kim, Y.J. (2000) Unsteady MHD Convective Heat Transfer Past a Semi-Infinite Vertical Porous Moving Plate with Variable Suction. International Journal of Engineering Science, 38, 833-845.
[11] Subhas Abel, M. and Siddheshwar, P.G. (2007) Heat Transfer in a Viscoelastic Boundary Layer Flow over a Stretching Sheet with Viscous Dissipation and Non-Uniform Heat Source. International Journal of Heat and Mass Transfer, 50, 960-966.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.08.010
[12] Nadeem, S., Zaheer, S. and Fang, T.G. (2011) Effects of Thermal Radiation on the Boundary Layer Flow of a Jeffrey Fluid over an Exponentially Stretching Surface. Numerical Algorithms, 57, 187-205.
http://dx.doi.org/10.1007/s11075-010-9423-8
[13] Ishak, A. (2011) MHD Boundary Layer Flow Due to an Exponentially Stretching Sheet with Radiation Effect. Sains Malaysiana, 40, 391-395.
[14] Al-odat, M.Q., Damseh, R.A. and Al-azab, T.A. (2006) Thermal Boundary Layer on an Exponentially Stretching Continuous Surface in the Presence of Magnetic Field Effect. International Journal of Applied Mechanics and Engineering, 11, 289-299.
[15] Kumar, H. (2013) Heat Transfer in MHD Boundary Layer Flow through a Porous Medium, Due to a Non-Isothermal Stretching Sheet, with Suction, Radiation and Heat Annihilation. Chemical Engineering Communications, 200, 895-906.
http://dx.doi.org/10.1080/00986445.2012.727509
[16] Chand, G. and Jat, R.N. (2014) Flow and Heat Transfer over an Unsteady Stretching Surface in a Porous Medium. Thermal Energy and Power Engineering, 3, 266-272.
[17] Sudhakar, K., Srinivas Raju, R. and Rangamma, M. (2013) Hall Effect on Unsteady MHD Flow Past along a Porous Flat Plate with Thermal Diffusion, Diffusion Thermo and Chemical Reaction. International Journal of Physical and Mathematical Sciences, 4, 370-395.
[18] Subhas Abel, M., Kumar, K.A. and Ravi kumara, R. (2011) MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip. Engineering, 3, 4.
[19] Hamza, M.M., Isah, B.Y. and Usman, H. (2011) Unsteady Heat Transfer to MHD Oscillatory Flow through a Porous Medium under Slip Condition. International Journal of Computer Applications, 33, 266-272.
[20] Sharma, P.R. and Singh, G. (2010) Effects of Variable Thermal Conductivity, Viscous Dissipation on Steady MHD Natural Convection Flow of Low Prandtl Fluid on an Inclined Porous Plate with Ohmic Heating. Meccanica, 45, 237-247.
[21] Cebeci, T. and Bradshaw, P. (1988) Physical and Computational Aspects of Convective Heat Transfer. Springer, New York.
http://dx.doi.org/10.1007/978-1-4612-3918-5
[22] Rudraswamy, N.G. and Gireesha, B.J. (2014) Influence of Chemical Reaction and Thermal Radiation on MHD Boundary Layer Flow and Heat Transfer of a Nanofluid over an Exponentially Stretching Sheet. Journal of Applied Mathematics and Physics, 2, 24-32.
http://dx.doi.org/10.4236/jamp.2014.22004
[23] Mustafaa, M., Hayat, T. and Obaidat. S. (2013) Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet with Convective Boundary Conditions. International Journal of Numerical Methods for Heat and Fluid Flow, 23, 945-959.
http://dx.doi.org/10.1108/HFF-09-2011-0179

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.