Effects of Chemical Reaction and Nonlinear Thermal Radiation on Williamson Nanofluid Slip Flow over a Stretching Sheet Embedded in a Porous Medium
Publication: Journal of Aerospace Engineering
Volume 29, Issue 5
Abstract
The main emphasis of the present study is to discuss the effect of chemical reaction on flow, heat, and mass transfer of Williamson nanofluid over a stretching sheet. The flow is considered under the influence of nonlinear thermal radiation. To obtain the numerical results, the governing equations have been reduced to a set of nonlinear ordinary differential equations using appropriate similarity transformations. An efficient Runge-Kutta-Felhberg 45 order method along with a shooting technique is used to get the required solutions. The accuracy of the method used is verified with the existing results, and they are found to be in good agreement. Obtained numerical solutions are presented in the form of graphs and tables for a various range of slip boundary condition and for different values of flow pertinent parameters, such as permeability parameter, radiation parameter, Lewis number, Heat capacities ratio, diffusivity ratio, Schmidt number, chemical reaction parameter, volumetric volume expansion coefficient, and Prandtl number. Finally, the outcome of the problem is written in the form of a conclusion based on the tables and plotted graphs.
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Acknowledgments
The authors wish to express their deep sense of gratitude to the reviewers of the original manuscript for their kind suggestions based upon which the present version of the paper has been prepared. B. J. Gireesha is thankful to the University Grants Commission, India, for the financial support under the Raman Fellowship for Postdoctoral Research for Indian Scholars in the United States. B. C. Prasanna Kumara and M. R. Krishnamurthy are thankful to the University Grants Commission, India, for the financial support under the Major research project Scheme [F. No. 43-419/2014(SR)].
References
Bilal Ashraf, M., Hayat, T., Alsaedi, A., and Shehzad, S. A. (2015). “Convective heat and mass transfer in MHD mixed convection flow of Jeffrey nanofluid over a radially stretching surface with thermal radiation.” J. Cent. South Univ., 22(3), 1114–1123.
Choi, S. U. S., and Jeffrey, A. (1995). “Eastman, enhancing thermal conductivity of fluids with nanoparticles.” Proc., ASME Int. Mechanical Engineering Congress and Exposition, ASME, San Francisco, 99–105.
Cortell, R. (2014a). “Fluid flow and radiative nonlinear heat transfer over a stretching sheet.” J. King Saud Univ.—Sci., 26(2), 161–167.
Cortell, R. (2014b). “MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption.” Energy, 74, 896–905.
Dapra, I., and Scarpi, G. (2007). “Perturbation solution for pulsatile flow of a non-Newtonian Williamson fluid in a rock fracture.” Int. J. Rock Mech. Min. Sci., 44(2), 271–278.
Das, K., Duari, P. R., and Kundu, P. K. (2014). “Solar radiation effects on Cu-water nanofluid flow over a stretching sheet with surface slip and temperature jump.” Arab. J. Sci. Eng., 39(12), 9015–9023.
Gireesha, B. J., Chamkha, A. J., Rudraswamy, N. G., and Krishnamurthy, M. R. (2015). “MHD flow and heat transfer of a nanofluid embedded with dust particles over a stretching sheet.” J. Nanofluids, 4(1), 66–72.
Gireesha, B. J., Mahanthesh, B., and Gorla, R. S. R. (2014). “Suspended particle effect on nanofluid boundary layer flow past a stretching surface.” J. Nanofluids, 3(3), 1–11.
Gorla, R. S. R., and Chamkha, A. (2011). “Natural convective boundary layer flow over a horizontal plate embedded in a porous medium saturated with a nanofluid.” J. Mod. Phys., 2(2), 62–71.
Gorla, R. S. R., and Sidawi, I. (1994). “Free convection on a vertical stretching surface with suction and blowing.” Appl. Sci. Res., 52(3), 247–257.
Goyal, M., and Bhargava, R. (2014). “Boundary layer flow and heat transfer of viscoelastic nanofluids past a stretching sheet with partial slip conditions.” Appl. Nanosci., 4(6), 761–767.
Hayat, T., Ashraf, B., Shehzad, S. A., Alsaedi, A., and Bayomi, N. (2015a). “Three-dimensional mixed convection flow of viscoelastic nanofluid over an exponentially stretching surface.” Int. J. Numer. Methods Heat Fluid Flow, 25(2), 333–357.
Hayat, T., Shehzad, S. A., Ashraf, B., and Abouelmagd, E. (2015b). “Three-dimensional flow of Eyring-Powell nanofluid over an exponentially stretching sheet.”Int. J. Numer. Methods Heat Fluid Flow, 25(3), 593–616.
Hayat, T., Taseer Muhammad, A. A., and Alhuthali, M. S. (2015c). “Magnetohydrodynamic three dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation.” J. Magn. Magn. Mater., 385, 222–229.
Ibrahim, W., and Shanker, B. (2013). “MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions.” Comput. Fluids, 75, 1–10.
Khan, J. A., Mustafa, M., Hayat, T., and Alsaedi, A. (2015). “Three-dimensional flow of nanofluid over a non-linearly stretching sheet: An application to solar energy.” Int. J. Heat Mass Transfer, 86, 158–164.
Krishnamurthy, M. R., Prasannakumara, B. C., Gireesha, B., and Gorla, R. S. R. (2015). “Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension.” Cogent Math., 2(1), 1050973.
Madhu, M., and Kishan, N. (2015). “Magnetohydrodynamic mixed convection stagnation-point flow of a power-law non-Newtonian nanofluid towards a stretching surface with radiation and heat source/sink.” J. Fluids, 14.
Malvandi, A., Hedayati, F., and Ganji, D. D. (2014). “Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet.” Powder Technol., 253, 377–384.
Mustafa, M., Khan, J. A., Hayat, T., and Alsaedi, A. (2015). “Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet.” Int. J. Non-Linear Mech., 71, 22–29.
Mustafa, M., Nawaz, M., Hayat, T., and Alsaedi, A. (2014). “MHD boundary layer flow of second-grade nanofluid over a stretching sheet with convective boundary conditions.” J. Aerosp. Eng., 04014006.
Nadeem, S., and Haq, R. U. (2015). “MHD boundary layer flow of a nanofluid passed through a porous shrinking sheet with thermal radiation.” J. Aerosp. Eng., 04014061.
Nadeem, S., and Hussain, S. T. (2013). “Flow and heat transfer analysis of Williamson nanofluid.” Appl. Nanosci., 4(8), 1005–1012.
Nadeem, S., Mehmood, R., and Motsa, S. S. (2015). “Numerical investigation on MHD oblique flow of Walter’s B type nanofluid over a convective surface.” Int. J. Therm. Sci., 92, 162–172.
Noghrehabadi, A., Pourrajab, R., and Ghalambaz, M. (2012). “Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature.” Int. J. Therm. Sci., 54, 253–261.
Noghrehabadi, A., Pourrajab, R., and Ghalambaz, M. (2013). “Flow and heat transfer of nanofluids over stretching sheet taking into account partial slip and thermal convective boundary conditions.” Heat Mass Transfer, 49(9), 1357–1366.
Pantokratoras, A., and Fang, T. (2013). “Sakiadis flow with nonlinear Rosseland thermal radiation.” Phys. Scr., 87(1), 015703.
Ramesh, G. K., and Gireesha, B. J. (2014). “Influence of heat source/sink on a Maxwell fluid over a stretching surface with convective boundary condition in the presence of nanoparticles.” Ain Shams Eng. J., 5(3), 991–998.
Rizwan, U. H., Nadeem, S., Khan, Z. H., and Akbar, N. S. (2015). “Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet.” Phys. E: Low-Dimension. Syst. Nanostruct., 65, 17–23.
Rosseland, S. (1931). Astrophysik und atom-theoretische Grundlagen, Springer, Berlin.
Shehzad, S. A., Hayat, T., Alsaedi, A., and Obid, M. A. (2014). “Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: A model for solar energy.” Appl. Math. Comput., 248, 273–286.
Shehzad, S. A., Hussain, T., Hayat, T., Ramzan, M., and Alsaedi, A. (2015). “Boundary layer flow of third grade nanofluid with Newtonian heating and viscous dissipation.” J. Cent. South Univ., 22(1), 360–367.
Yazdi, M. H., Abdullah, S., Hashim, I., and Sopian, K. (2011). “Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction.” Int. J. Heat Mass Transfer, 54(15–16), 3214–3225.
Yoshimura, A., and Prudhomme, R. K. (1988). “Wall slip corrections for Couette and parallel disc viscometers.” J. Rheol., 32(1), 53–67.
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Published In
Journal of Aerospace Engineering
Volume 29 • Issue 5 • September 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 24, 2015
Accepted: Sep 22, 2015
Published online: Mar 2, 2016
Discussion open until: Aug 2, 2016
Published in print: Sep 1, 2016
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