Three-Dimensional Flow of Jeffrey Nanofluid with a New Mass Flux Condition
Publication: Journal of Aerospace Engineering
Volume 29, Issue 2
Abstract
The three-dimensional (3D) boundary layer flow of Jeffrey nanofluid subject to the convective boundary condition is analyzed. The flow is induced by a bidirectional stretching surface. Effects of thermophoresis and Brownian motion are considered. Newly developed boundary condition with the zero nanoparticles mass flux is employed. Mathematical modeling is made under boundary layer approach. Similarity variables are used to convert the governing partial differential equations into the nonlinear ordinary differential equations. The resulting nonlinear ordinary differential equations have been solved for the velocities, temperature, and nanoparticles concentration. Graphs are plotted to examine the influence of various physical parameters on the dimensionless temperature and nanoparticles concentration distributions. Numerical values of local Nusselt number are tabulated and discussed. It is found that the effects of the Biot number on the temperature and nanoparticles concentration are quite similar. Both the temperature and nanoparticles concentration are enhanced for the larger values of Biot number.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abbasbandy, S., Hayat, T., Alsaedi, A., and Rashidi, M. M. (2014). “Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid.” Int. J. Numer. Methods Heat Fluid Flow, 24(2), 390–401.
Abolbashari, M. H., Freidoonimehr, N., Nazari, F., and Rashidi, M. M. (2014). “Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nano-fluid.” Powder Technol., 267(11), 256–267.
Ariel, P. D. (2007). “The three-dimensional flow past a stretching sheet and the homotopy perturbation method.” Comput. Math. Appl., 54(7–8), 920–925.
Choi, S. U. S. (1999). Nanotechnology: Current status and future research, Energy Technology Division, Argonne National Laboratory, Argonne.
Choi, S. U. S., and Eastman, J. A. (1995). “Enhancing thermal conductivity of fluids with nanoparticles.”, ASME, New York, 99–105.
Hamad, M. A. A., AbdEl-Gaied, S. M., and Khan, W. A. (2013). “Thermal jump effects on boundary layer flow of a Jeffrey fluid near the stagnation point on a stretching/shrinking sheet with variable thermal conductivity.” J. Fluids, 2013, 8.
Hayat, T., Asad, S., Mustafa, M., and Alsaedi, A. (2015a). “MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet.” Comput. Fluids, 108(2), 179–185.
Hayat, T., Hussain, T., Shehzad, S. A., and Alsaedi, A. (2014a). “Thermal and concentration stratifications effects in radiative flow of Jeffrey fluid over a stretching sheet.” Plos One, 9(10), e107858.
Hayat, T., Muhammad, T., Alsaedi, A., and Alhuthali, M. S. (2015b). “Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation.” J. Magn. Magn. Mater., 385, 222–229.
Hayat, T., Muhammad, T., Shehzad, S. A., and Alsaedi, A. (2015c). “A mathematical study for three-dimensional boundary layer flow of Jeffrey nanofluid.” Z. Naturforsch. A, 70(4), 225–233.
Hayat, T., Muhammad, T., Shehzad, S. A., and Alsaedi, A. (2015d). “Similarity solution to three dimensional boundary layer flow of second grade nanofluid past a stretching surface with thermal radiation and heat source/sink.” AIP Adv., 5(1), 017107.
Hayat, T., Muhammad, T., Shehzad, S. A., Chen, G. Q., and Abbas, I. A. (2015e). “Interaction of magnetic field in flow of Maxwell nanofluid with convective effect.” J. Magn. Magn. Mater., 389, 48–55.
Hayat, T., Shehzad, S. A., and Alsaedi, A. (2014b). “MHD three-dimensional flow by an exponentially stretching surface with convective boundary condition.” J. Aerosp. Eng., 04014011.
Hayat, T., Shehzad, S. A., and Alsaedi, A. (2014c). “Three-dimensional flow of Jeffrey fluid over a bidirectional stretching surface with heat source/sink.” J. Aerosp. Eng., 04014007.
Ibrahim, W., and Makinde, O. D. (2013). “The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate.” Comput. Fluids, 86, 433–441.
Imtiaz, M., Hayat, T., Hussain, M., Shehzad, S. A., Chen, G. Q., and Ahmad, B. (2014). “Mixed convection flow of nanofluid with Newtonian heating.” Eur. Phys. J. Plus, 129(5), 97.
Kandelousi, M. S., and Ellahi, R. (2015). “Simulation of ferrofluid flow for magnetic drug targeting using the Lattice Boltzmann method.” Z. Naturforsch. A, 70(2), 115–124.
Kothandapani, M., and Srinivas, S. (2008). “Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel.” Int. J. Non-Linear Mech., 43(9), 915–924.
Kuznetsov, A. V., and Nield, D. A. (2014). “Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model.” Int. J. Therm. Sci., 77, 126–129.
Liao, S. J. (2012). Homotopy analysis method in nonlinear differential equations, Springer & Higher Education Press, Heidelberg.
Lin, Y., Zheng, L., and Zhang, X. (2014). “Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity.” Int. J. Heat Mass Transfer, 77, 708–716.
Makinde, O. D., and Aziz, A. (2011). “Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition.” Int. J. Therm. Sci., 50(7), 1326–1332.
Masuda, H., Ebata, A., Teramae, K., and Hishiunma, N. (1993). “Alteration of thermal conductivity and viscosity of liquid by dispersed ultra-fine particles (dispersion of , , and ultra-fine particles).” Netsu Bussei (Jpn.), 7(4), 227–233.
Moradi, A., Alsaedi, A., and Hayat, T. (2013). “Investigation of nanoparticles effect on the Jeffery-Hamel flow.” Arab. J. Sci. Eng., 38(10), 2845–2853.
Mushtaq, A., Mustafa, M., Hayat, T., and Alsaedi, A. (2014). “Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: A numerical study.” J. Taiwan Inst. Chem. Eng., 45(4), 1176–1183.
Mustafa, M., Khan, J. A., Hayat, T., and Alsaedi, A. (2015). “Boundary layer flow of nanofluid over a nonlinearly stretching sheet with convective boundary condition.” IEEE Trans. Nanotechnol., 14(1), 159–168.
Rashidi, M. M., Ganesh, N. V., Hakeem, A. K. A., and Ganga, B. (2014a). “Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation.” J. Mol. Liquids, 198, 234–238.
Rashidi, M. M., Rostami, B., Freidoonimehr, N., and Abbasbandy, S. (2014b). “Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects.” Ain Shams Eng. J., 5(3), 901–912.
Shehzad, S. A., Alsaedi, A., and Hayat, T. (2012). “Three-dimensional flow of Jeffery fluid with convective surface boundary conditions.” Int. J. Heat Mass Transfer, 55(15–16), 3971–3976.
Sheikholeslami, M., and Abelman, S. (2015). “Two-phase simulation of nanofluid flow and heat transfer in an annulus in the presence of an axial magnetic field.” IEEE Trans. Nanotechnol., 14(3), 561–569.
Sheikholeslami, M., Abelman, S., and Ganji, D. D. (2014a). “Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation.” Int. J. Heat Mass Transfer, 79, 212–222.
Sheikholeslami, M., Bandpy, M. G., and Ashorynejad, H. R. (2015). “Lattice Boltzmann method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity.” Phys. A: Stat. Mech. Appl., 432, 58–70.
Sheikholeslami, M., Bandpy, M. G., Ellahi, R., Hassan, M., and Soleimani, S. (2014f). “Effects of MHD on Cu-water nanofluid flow and heat transfer by means of CVFEM.” J. Magn. Magn. Mater., 349, 188–200.
Sheikholeslami, M., and Ganji, D. D. (2015). “Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM.” Comput. Methods Appl. Mech. Eng., 283, 651–663.
Turkyilmazoglu, M., and Pop, I. (2013a). “Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid.” Int. J. Heat Mass Transfer, 57(1), 82–88.
Turkyilmazoglu, M., and Pop, I. (2013b). “Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect.” Int. J. Heat Mass Transfer, 59, 167–171.
Zhang, C., Zheng, L., Zhang, X., and Chen, G. (2015). “MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction.” Appl. Math. Modell., 39(1), 165–181.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 29 • Issue 2 • March 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Mar 28, 2015
Accepted: Jul 15, 2015
Published online: Sep 17, 2015
Discussion open until: Feb 17, 2016
Published in print: Mar 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.