Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating

doi:10.1007/s10483-012-1642-8

Abstract

Abstract:

The combined effects of viscous dissipation and Newtonian heating on bound-ary layer flow over a moving flat plate are investigated for two types of water-based New-tonian nanofluids containing metallic or nonmetallic nanoparticles such as copper (Cu) and titania (TiO₂). The governing partial differential equations are transformed into ordinary differential equations through a similarity transformation and are solved numer-ically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusions are that the heat transfer rate at the moving plate surface increases with the increases in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the increase in the Brinkmann number. Moreover, the heat transfer rate at the moving plate surface with Cu-water as the working nanofluid is higher than that with TiO₂-water.

Key words: 3-D eddy current field, divided region variational principle, A, φ-Ω mtheod, interface continuity conditions

2010 MSC Number:

O. D. MAKINDE. Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1545-1554.

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References

[1] Matteucci, M. E., Hotze, M. A., Johnston, K. P., and Williams, R. O., III. Drug nanoparticlesby antisolvent precipitation: mixing energy versus surfactant stabilization. Langmuir, 22(21),8951-8959 (2006)
[2] Choi, S. U. S. Enhancing thermal conductivity of fluids with nanoparticles. Proceedings of ASMEInternational Mechanical Engineering Congress and Exposition, San Franciscos, 99-105 (1995)
[3] Wen, D. and Ding, Y. Experimental investigation into the pool boiling heat transfer of aqueousbased γ-alumina nanofluids. Journal of Nanoparticle Research, 7(2), 265-274 (2005)
[4] Oztop, H. F. and Abu-Nada, E. Numerical study of natural convection in partially heated rectangu-lar enclosures filled with nanofluids. International Journal of Heat and Fluid Flow, 29, 1326-1336(2008)
[5] Abu-Nada, E. Application of nanofluids for heat transfer enhancement of separated flows encoun-tered in a backward facing step. International Journal of Heat and Fluid Flow, 29, 242-249 (2008)
[6] Das, S. K., Choi, S. U. S., Yu, W., and Pradet, T. Nanofluids: Science and Technology, Wiley,New Jersey (2007)
[7] Keblinski, P., Prasher, R., and Eapen, J. Thermal conductance of nanofluid: is the controversyover?Journal of Nanoparticle Research, 10, 1089-1097 (2008)
[8] Nield, D. A. and Kuznetsov, A. V. The Cheng-Minkowycz problem for natural convective boundarylayer flow in a porous medium saturated by a nanofluid. International Journal of Heat and MassTransfer, 52, 5792-5795 (2009)
[9] Kuznetsov, A. V. and Nield, D. A. Natural convective boundary-layer flow of a nanofluid past avertical plate. International Journal of Thermal Sciences, 49, 243-247 (2010)
[10] Lin, J. Z., Chan, T. L., Liu, S., Zhou, K., Zhou, Y., and Lee, S. C. Effects of coherent structures onnanoparticle coagulation and dispersion in a round jet. International Journal of Nonlinear Scienceand Numerical Simulation, 8(1), 45-54 (2007)
[11] Lin, J. Z., Lin, P., and Chen, H. Research on the transport and deposition of nanoparticles in arotating curved pipe. Physics of Fluids, 21, 122001 (2009)
[12] Yu, M. Z., Lin, J. Z., and Chan, T. L. Effect of precursor loading on non-spherical TiO2 nanopar-ticle synthesis in a diffusion flame reactor. Chemical Engineering Science, 63(9), 2317-2329 (2008)
[13] Buongiorno, J. Convective transport in nanofluids. ASME Journal of Heat Transfer, 128, 240-250(2006)
[14] Sakiadis, B. C. Boundary-layer behaviour on continuous solid surfaces, boundary layer equationsfor 2-dimensional and axisymmetric flow. American Institute of Chemical Engineers Journal, 7,26-28 (1961)
[15] Takhar, H. S., Nitu, S., and Pop, I. Boundary layer flow due to a moving plate: variable fluidproperties. Acta Mechanica, 90, 37-42 (1991)
[16] Tsou, F. K., Sparrow, E. M., and Goldstein, R. J. Flow and heat transfer in the boundary layeron a continuous moving surface. International Journal of Heat and Mass Transfer, 10, 219-235(1967)
[17] Makinde, O. D. Free-convection flow with thermal radiation and mass transfer past a movingvertical porous plate. International Communications in Heat and Mass Transfer, 32, 1411-1419(2005)
[18] Fang, T. Boundary layer flow over a shrinking sheet with power-law velocity. International Journalof Heat and Mass Transfer, 51, 5838-5843 (2008)
[19] Makinde, O. D. and Aziz, A. Boundary layer flow of a nanofluid past a stretching sheet with aconvective boundary condition. International Journal of Thermal Sciences, 50, 1326-1332 (2011)
[20] Ahmad, S., Rohni, A. M., and Pop, I. Blasius and Sakiadis problems in nanofluids. Acta Mechanica,218, 195-204 (2011)
[21] Aziz, A. A similarity solution for laminar thermal boundary layer over a flat plate with a convectivesurface boundary condition. Communications in Nonlinear Science and Numerical Simulation, 14,1064-1068 (2009)
[22] Bataller, R. C. Radiation effects for the Blasius and Sakiadis flows with a convective surfaceboundary condition. Applied Mathematics and Computation, 206, 832-840 (2008)