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Cooling intensification of a continuously moving stretching surface using different types of nanofluids. (English) Zbl 1264.80007

Summary: The effect of different types of nanoparticles on the heat transfer from a continuously moving stretching surface in a concurrent, parallel free stream has been studied. The stretching surface is assumed to have power-law velocity and temperature. The governing equations are converted into a dimensionless system of equations using nonsimilarity variables. Resulting equations are solved numerically for various values of flow parameters. The effect of physical quantities on the temperature profiles is discussed in detail.

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
35Q79 PDEs in connection with classical thermodynamics and heat transfer
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[1] B. C. Sakiadis, “Boundary layer behaviour on continuous solid surfaces: I Boundary layer equations for two dimensional and axisymmetric flow,” AIChE Journal, vol. 7, pp. 26-28, 1961.
[2] E. M. A. Elbashbeshy and M. A. A. Bazid, “Heat transfer over an unsteady stretching surface,” Heat and Mass Transfer, vol. 41, no. 1, pp. 1-4, 2004. · Zbl 1098.76066
[3] F. K. Tsou, E. M. Sparrow, and R. J. Goldstein, “Flow and heat transfer in the boundary layer on a continuous moving surface,” International Journal of Heat and Mass Transfer, vol. 10, no. 2, pp. 219-235, 1967.
[4] P. S. Gupta and A. S. Gupta, “Heat and mass transfer on a stretching sheet with suction or blowing,” Canadian Journal of Chemical Engineering, vol. 55, pp. 744-746, 1977.
[5] C. H. Chen, “Convection cooling of a continuously moving surface in manufacturing processes,” Journal of Materials Processing Technology, vol. 138, no. 1-3, pp. 332-338, 2003.
[6] S. P. A. Devi and M. Thiyagarajan, “Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature,” Heat and Mass Transfer, vol. 42, no. 8, pp. 671-677, 2006.
[7] I. A. Hassanien, A. A. Abdullah, and R. S. R. Gorla, “Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet,” Mathematical and Computer Modelling, vol. 28, no. 9, pp. 105-116, 1998. · Zbl 1098.76531
[8] S. A. Al-Sanea and M. E. Ali, “The effect of extrusion slit on the flow and heat-transfer characteristics from a continuously moving material with suction or injection,” International Journal of Heat and Fluid Flow, vol. 21, no. 1, pp. 84-91, 2000.
[9] R. Cortell, “Viscous flow and heat transfer over a nonlinearly stretching sheet,” Applied Mathematics and Computation, vol. 184, no. 2, pp. 864-873, 2007. · Zbl 1112.76022
[10] 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, pp. 227-233, 1993.
[11] S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles,” ASME Publications, FED-vol. 231/MD-vol. 66, pp. 99-105, 1995.
[12] D. Wen and Y. Ding, “Experimental investigation into convective heat transfer of nano-fluids at the entrance region under laminar flow conditions,” International Journal of Heat and Mass Transfer, vol. 47, pp. 5181-5188, 2004.
[13] A. K. Santra, S. Sen, and N. Chakraborty, “Study of heat transfer due to laminar flow of copper-water nanofluid through two isothermally heated parallel plates,” International Journal of Thermal Sciences, vol. 48, no. 2, pp. 391-400, 2009.
[14] J. A. Eastman, S. U. S. Choi, S. Li, W. Yu, and L. J. Thompson, “Anomalously increase effective thermal conductivities of ethylene glycol based nanofluids containing copper nanoparticles,” Applied Physics Letters, vol. 78, no. 6, pp. 718-720, 2001.
[15] E. Abu-Nada, Z. Masoud, and A. Hijazi, “Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids,” International Communications in Heat and Mass Transfer, vol. 35, no. 5, pp. 657-665, 2008.
[16] M. A. A. Hamad and I. Pop, “Scaling transformations for boundary layer flow near the stagnation-point on a heated permeable stretching surface in a porous medium saturated with a nanofluid and heat generation/absorption effects,” Transport in Porous Media, vol. 87, no. 1, pp. 25-39, 2011.
[17] N. Bachok, A. Ishak, R. Nazar, and I. Pop, “Flow and heat transfer at a general three-dimensional stagnation point in a nanofluid,” Physica B, vol. 405, no. 24, pp. 4914-4918, 2010.
[18] K. Vajravelu, K. V. Prasad, J. Lee, C. Lee, I. Pop, and R. A. Van Gorder, “Convective heat transfer in the flow of viscous Ag-water and Cu-water nanofluids over a stretching surface,” International Journal of Thermal Sciences, vol. 50, no. 5, pp. 843-851, 2011.
[19] M. F. Hady, S. I. Fouad, S. M. Abdel-Gaied, and M. R. Eid, “Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet,” Nanoscale Research Letters, vol. 7, no. 1, p. 229, 2012.
[20] N. A. Yacob, A. Ishak, I. Pop, and K. Vajravelu, “Boundary layer flow past a stretching/shrinking surface beneath an external uniform shear flow with a convective surface boundary condition in a nanofluid,” Nanoscale Research Letters, vol. 6, p. 314, 2011.
[21] H. C. Brinkman, “The viscosity of concentrated suspensions and solutions,” Journal of Chemical Physics, vol. 20, pp. 571-581, 1952.
[22] Y. Xuan and Q. Li, “Experimental research on the viscosity of nanofluids,” Report of Nanjing University of Science and Technology, 1999.
[23] E. M. Sparrow, H. Quack, and C. J. Boerner, “Local non-similarity boundary layer solutions,” AIAA Journal, vol. 8, no. 11, pp. 1936-1942, 1970. · Zbl 0219.76032
[24] E. M. Sparrow and H. S. Yu, “Local non-similarity thermal boundary-layer solutions,” ASME Journal of Heat Transfer, pp. 328-334, 1971.
[25] C. H. Chen, “Heat transfer characteristics of a non-isothermal surface moving parallel to a free stream,” Acta Mechanica, vol. 142, no. 1, pp. 195-205, 2000. · Zbl 0970.76026
[26] V. M. Soundalgekar and T. V. Ramana Murty, “Heat transfer in flow past a continuous moving plate with variable temperature,” Wärme- und Stoffübertragung, vol. 14, no. 2, pp. 91-93, 1980.
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