Mansur, Syahira; Ishak, Anuar The flow and heat transfer of a nanofluid past a stretching/shrinking sheet with a convective boundary condition. (English) Zbl 1291.76103 Abstr. Appl. Anal. 2013, Article ID 350647, 9 p. (2013). Summary: The boundary layer flow of a nanofluid past a stretching/shrinking sheet with a convective boundary condition is studied. Numerical solutions to the governing equations are obtained using a shooting method. The results are found for the local Nusselt number and the local Sherwood number as well as the temperature and concentration profiles for some values of the convective parameter, stretching/shrinking parameter, Brownian motion parameter, and thermophoresis parameter. The results indicate that the local Nusselt number is consistently higher for higher values of the convective parameter. However, the local Nusselt number decreases with increasing values of the Brownian motion parameter as well as the thermophoresis parameter. In addition, the local Sherwood number increases with increasing Brownian motion parameter and decreases with increasing convective parameter and thermophoresis parameter. Cited in 6 Documents MSC: 76D10 Boundary-layer theory, separation and reattachment, higher-order effects PDF BibTeX XML Cite \textit{S. Mansur} and \textit{A. Ishak}, Abstr. Appl. Anal. 2013, Article ID 350647, 9 p. (2013; Zbl 1291.76103) Full Text: DOI References: [1] Fischer, E. G., Extrusion of Plastics (1976), New York, NY, USA: Wiley, New York, NY, USA [2] Crane, L. J., Flow past a stretching plate, Journal of Applied Mathematics and Physics, 21, 4, 645-647 (1970) [3] Wang, C. Y., Analysis of viscous flow due to a stretching sheet with surface slip and suction, Nonlinear Analysis: Real World Applications, 10, 1, 375-380 (2009) · Zbl 1154.76330 [4] Sahoo, B., Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip, Communications in Nonlinear Science and Numerical Simulation, 15, 3, 602-615 (2010) · Zbl 1221.76021 [5] Miklavčič, M.; Wang, C. Y., Viscous flow due to a shrinking sheet, Quarterly of Applied Mathematics, 64, 2, 283-290 (2006) · Zbl 1169.76018 [6] Fang, T.; Yao, S.; Zhang, J.; Aziz, A., Viscous flow over a shrinking sheet with a second order slip flow model, Communications in Nonlinear Science and Numerical Simulation, 15, 7, 1831-1842 (2010) · Zbl 1222.76028 [7] Bhattacharyya, K.; Mukhopadhyay, S.; Layek, G. C., Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet, International Journal of Heat and Mass Transfer, 54, 1-3, 308-313 (2011) · Zbl 1205.80012 [8] Choi, S. U. S.; Eastman, J. A., Enhancing thermal conductivities of fluids with nanoparticles, Proceedings of the ASME International Mechanical Engineering Congress and Exposition [9] Masuda, H.; Ebata, A.; Teramae, K.; Hishinuma, N., Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles, Netsu Bussei, 7, 227-233 (1993) [10] Rahman, M. M.; Al-Lawatia, M. A.; Eltayeb, I. A.; Al-Salti, N., Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption, International Journal of Thermal Sciences, 57, 172-182 (2012) [11] Xuan, Y.; Li, Q., Heat transfer enhancement of nanofluids, International Journal of Heat and Fluid Flow, 21, 1, 58-64 (2000) [12] Xuan, Y.; Roetzel, W., Conceptions for heat transfer correlation of nanofluids, International Journal of Heat and Mass Transfer, 43, 19, 3701-3707 (2000) · Zbl 0963.76092 [13] Lee, S.; Choi, S. U. S.; Li, S.; Eastman, J. A., Measuring thermal conductivity of fluids containing oxide nanoparticles, Journal of Heat Transfer, 121, 2, 280-288 (1999) [14] Tiwari, R. K.; Das, M. K., Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, International Journal of Heat and Mass Transfer, 50, 9-10, 2002-2018 (2007) · Zbl 1124.80371 [15] Buongiorno, J., Convective transport in nanofluids, Journal of Heat Transfer, 128, 3, 240-250 (2006) [16] Nield, D. A.; 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, 25-26, 5792-5795 (2009) · Zbl 1177.80046 [17] Nield, D. A.; Kuznetsov, A. V., Thermal instability in a porous medium layer saturated by a nanofluid, International Journal of Heat and Mass Transfer, 52, 25-26, 5796-5801 (2009) · Zbl 1177.80047 [18] Nield, D. A.; Kuznetsov, A. V., The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid, International Journal of Heat and Mass Transfer, 54, 1-3, 374-378 (2011) · Zbl 1205.80039 [19] Kuznetsov, A. V.; Nield, D. A., Natural convective boundary-layer flow of a nanofluid past a vertical plate, International Journal of Thermal Sciences, 49, 2, 243-247 (2010) [20] Kuznetsov, A. V.; Nield, D. A., Double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate, International Journal of Thermal Sciences, 50, 5, 712-717 (2011) [21] Khan, W. A.; Pop, I., Boundary-layer flow of a nanofluid past a stretching sheet, International Journal of Heat and Mass Transfer, 53, 11-12, 2477-2483 (2010) · Zbl 1190.80017 [22] Bachok, N.; Ishak, A.; Pop, I., Boundary-layer flow of nanofluids over a moving surface in a flowing fluid, International Journal of Thermal Sciences, 49, 9, 1663-1668 (2010) [23] Bachok, N.; Ishak, A.; Pop, I., Unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet, International Journal of Heat and Mass Transfer, 55, 7-8, 2102-2109 (2012) [24] Khan, W. A.; Aziz, A., Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux, International Journal of Thermal Sciences, 50, 7, 1207-1214 (2011) [25] Aziz, A., A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition, Communications in Nonlinear Science and Numerical Simulation, 14, 4, 1064-1068 (2009) [26] Ishak, A., Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition, Applied Mathematics and Computation, 217, 2, 837-842 (2010) · Zbl 1432.76090 [27] Makinde, O. D.; Aziz, A., Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, International Journal of Thermal Sciences, 50, 7, 1326-1332 (2011) [28] Gupta, P. S.; Gupta, A. S., Heat and mass transfer on a stretching sheet with suction or blowing, The Canadian Journal of Chemical Engineering, 55, 6, 744-746 (1977) [29] Ishak, A.; Nazar, R.; Pop, I., Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature, Nonlinear Analysis: Real World Applications, 10, 5, 2909-2913 (2009) · Zbl 1162.76017 [30] Rasekh, A.; Ganji, D. D.; Tavakoli, S., Numerical solutions for a nanofluid past over a stretching circular cylinder with non-uniform heat source, Frontiers in Heat and Mass Transfer, 3, 1-6 (2012) [31] Merkin, J. H., On dual solutions occurring in mixed convection in a porous medium, Journal of Engineering Mathematics, 20, 2, 171-179 (1986) · Zbl 0597.76081 [32] Weidman, P. D.; Kubitschek, D. G.; Davis, A. M. J., The effect of transpiration on self-similar boundary layer flow over moving surfaces, International Journal of Engineering Science, 44, 11-12, 730-737 (2006) · Zbl 1213.76064 [33] Postelnicu, A.; Pop, I., Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge, Applied Mathematics and Computation, 217, 9, 4359-4368 (2011) · Zbl 1416.76011 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.