Influence of Chemical Reaction and Thermal Radiation on MHD Boundary Layer Flow and Heat Transfer of a Nanofluid over an Exponentially Stretching Sheet

N. G.  Rudraswamy; B. J.  Gireesha

doi:10.4236/jamp.2014.22004

JAMP Vol.2 No.2 , January 2014

Influence of Chemical Reaction and Thermal Radiation on MHD Boundary Layer Flow and Heat Transfer of a Nanofluid over an Exponentially Stretching Sheet

N. G. Rudraswamy^*, B. J. Gireesha

Abstract: In the present article a numerical analysis has been carried out to study the boundary layer flow behavior and heat transfer characteristics of a nanofluid over an exponential stretching sheet. By assuming the stretching sheet to be impermeable, the effect of chemical reaction, thermal radiation, thermopherosis, Brownian motion and suction parameters in the presence of uniform magnetic field on heat and mass transfer are addressed. The governing system of equations is transformed into coupled nonlinear ordinary differential equations using suitable similarity transformations. The transformed equations are then solved numerically using the well known Runge-Kutta-Fehlberg method of fourth-fifth order. 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 the results are presented in both graphical and tabular forms.

Keywords: Nanofluid; Exponentially Stretching Sheet; Chemical Reaction; Thermal Radiation; Boundary Layer Flow; Heat and Mass Transfer

Cite this paper: Rudraswamy, N. and Gireesha, B. (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. doi: 10.4236/jamp.2014.22004.

References

[1] S. U. S. Choi, “Enhancing Thermal Conductivity of Fluids with Nanoparticles,” In: D. A. Siginer and H. P. Wang, Eds., Developments and Applications of Non-Newtonian Flows, ASME, New York, Vol. 66, 1995, pp. 99-105.

[2] H. Masuda, A. Ebata, K. Teramae and N. Hishinuma, “Alteration of Thermal Conductivity and Viscosity of Liquid by Dispersing Ultra-Fine Particles,” Netsu Bussei, Vol. 7, No. 4, 1993, pp. 227-233. http://dx.doi.org/10.2963/jjtp.7.227

[3] D. M. Yu, J. L. Routbort and S. U. S. Choi, “Review and Comparison of Nanofluid Thermal Conductivity and Heat Transfer Enhancements,” Heat Transfer Engineering, Vol. 29, No. 5, 2008, pp. 432-460. http://dx.doi.org/10.1080/01457630701850851

[4] J. Buongiorno, “Convective Transport in Nanofluids,” ASME Journal of Heat Transfer, Vol. 128, No. 3, 2006, pp. 240-250.
http://dx.doi.org/10.1115/1.2150834

[5] S. K. Das, S. U. S. Choi, W. Yu and T. Pradeep, “Nanofluids: Science and Technology,” Wiley Interscience, Hoboken, 2007.
http://dx.doi.org/10.1002/9780470180693

[6] J. Eastman, S. U. S. Choi, S. Lib, W. Yu and L. J. Thompson, “Anomalously Increased Effective Thermal Conductivities of Ethylene-Glycol-Based Nanofluids Containing Copper Nanoparticles,” Applied Physics Letters, Vol. 78, 2001, pp. 718-720.
http://dx.doi.org/10.1063/1.1341218

[7] J. Buongiorno and W. Hu, “Nanofluid Coolants for Advanced Nuclear Power Plants,” Proceedings of ICAPP’05, Seoul, 15-19 May 2005, pp. 15-19.

[8] P. S. Gupta and A. S. Gupta, “Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing,” The Canadian Journal of Chemical Engineering, Vol. 55, No. 6, 1997, pp. 744-746. http://dx.doi.org/10.1002/cjce.5450550619

[9] E. Magyari and B. Keller, “Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface,” Journal of Physics D: Applied Physics, Vol. 32, No. 5, 1999, pp. 577-585. http://dx.doi.org/10.1088/0022-3727/32/5/012

[10] E. M. A. Elbashbeshy, “Heat Transfer over an Exponentially Stretching Continuous Surface with Suction,” Archives of Mechanics, Vol. 53, No. 6, 2001, pp. 643-651.

[11] S. K. Khan and E. Sanjayanand, “Viscoelastic Boundary Layer Flow and Heat Transfer over an Exponential Stretching Sheet,” International Journal of Heat and Mass Transfer, Vol. 48, No. 8, 2005, pp. 1534-1542.

[12] M. Sajid and T. Hayat, “Influence of Thermal Radiation on the Boundary Layer Flow Due to an Exponentially Stretching Sheet,” International Communications in Heat and Mass Transfer, Vol. 35, No. 3, 2008, pp. 347-356.
http://dx.doi.org/10.1016/j.icheatmasstransfer.2007.08.006

[13] A. Ishak, “MHD Boundary Layer Flow Due to an Exponentially Stretching Sheet with Radiation Effect,” Sains Malaysiana, Vol. 40, No. 4, 2011, pp. 391-395.

[14] B. J. Gireesha, G. M. Pavithra and C. S. Bagewadi, “Boundary Layer Flow and Heat Transfer of a Dusty Fluid over an Exponentially Stretching Sheet,” British Journal of Mathematics & Computer Science, Vol. 2, No. 4, 2012, pp. 187-197.

[15] S. Nadeem and C. Lee, “Boundary Layer Flow of Nanofluid over an Exponentially Stretching Surface,” Nanoscale Research Letters, Vol. 7, 2012, p. 94. http://dx.doi.org/10.1186/1556-276X-7-94

[16] M. Mustafaa, T. Hayat and S. Obaidat, “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, Vol. 23, No. 6, 2013, pp. 945-959. http://dx.doi.org/10.1108/HFF-09-2011-0179