Unsteady Boundary Layer Flow and Heat Transfer of a Nanfoluid Past a Static and Moving Flat Plate

Unsteady Boundary Layer Flow and Heat Transfer of a Nanfoluid Past a Static and Moving Flat Plate

Parasuraman L. Chellasamy V. 

Department of Mathematics, Anna University, Chennai, India

Page: 
95-102
|
DOI: 
https://doi.org/10.18280/ijht.310213
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

The unsteady forced convection boundary layer flow of nanofluids past a semi-infinite static and moving flat plate are theoretically investigated. The governing equations are transformed into uncoupled ordinary differential equations using a similarity transformation. Numerical solutions of the similarity equations are obtained, using the shooting iteration technique along with the fourth order Runge-Kutta method. The effects of nanoparticles on the velocity, temperature, skin friction and local Nusselt number are investigated numerically. The obtained results of this paper are compared to regular fluid (ø> = 0) with Pr = 0.7 and the comparison shows good agreement with the previous results. It is found that the nanofluid heat transfer rate increases with an increase in the nanoparticles volume fraction and it is shown that the volume fraction affects the fluid flow and heat transfer characteristics.

  References

[1] Choi, Stephen U.S. Enhancing thermal conductivity of fluids with nanoparticles  (1995) American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, 231, pp. 99-105.

[2] Buongiorno, J. Convective transport in nanofluids (2006) Journal of Heat Transfer, 128 (3), pp. 240-250.doi: 10.1115/1.2150834

[3] Karthikeyan, N.R., Philip, J., Raj, B. Effect of clustering on the thermal conductivity of nanofluids (2008) Materials Chemistry and Physics, 109 (1), pp. 50-55. doi: 10.1016/j.matchemphys.2007.10.029

[4] Tiwari, R.K., Das, M.K. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids (2007) International Journal of Heat and Mass Transfer, 50 (9-10), pp. 2002-2018.doi: 10.1016/j.ijheatmasstransfer.2006.09.034

[5] Abu-Nada, E.Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step (2008) International Journal of Heat and Fluid Flow, 29 (1), pp. 242-249. doi: 10.1016/j.ijheatfluidflow.2007.07.001

[6] Muthtamilselvan, M., Kandaswamy, P., Lee, J. Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure (2010) Communications in Nonlinear Science and Numerical Simulation, 15 (6), pp. 1501-1510. doi: 10.1016/j.cnsns.2009.06.015

[7] Oztop, H.F., Abu-Nada, E. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids (2008) International Journal of Heat and Fluid Flow, 29 (5), pp. 1326-1336. doi: 10.1016/j.ijheatfluidflow.2008.04.009

[8] Yacob, N.A., Ishak, A., Pop, I., Vajravelu, K. Boundary layer flow past a stretching/shrinking surface beneath an external uniform shear flow with a convective surface boundary condition in a nanofluid (2011) Nanoscale Research Letters, 6 (1), art. no. 314. http://www.springer.com.ezproxy3.lhl.uab.edu/materials/nanotechnology/journal/11671 doi: 10.1186/1556-276X-6-314

[9] Bachok, N., Ishak, A., Pop, I.Flow and heat transfer characteristics on a moving plate in a nanofluid (2012) International Journal of Heat and Mass Transfer, 55 (4), pp. 642-648. doi: 10.1016/j.ijheatmasstransfer.2011.10.047

[10] Loganathan, P., Nirmal Chand, P., Ganesan, P. Radiation effects on an unsteady natural convective flow of a nanofluid past an infinite vertical plate (2013) Nano, 8 (1), art. no. 1350001.doi: 10.1142/S179329201350001X

[11] Das, S.K., Choi, S.U.S., Yu, W., Pradeep, T.Nanofluids: Science and Technology (2007) Nanofluids: Science and Technology, pp. 1-397. http://onlinelibrary.wiley.com.ezproxy3.lhl.uab.edu/book/10.1002/9780470180693 ISBN: 978-047007473-2 doi: 10.1002/9780470180693

[12] Trisaksri, V., Wongwises, S.Critical review of heat transfer characteristics of nanofluids (2007) Renewable and Sustainable Energy Reviews, 11 (3), pp. 512-523.doi: 10.1016/j.rser.2005.01.010

[13] Wang, X.-Q., Mujumdar, A.S.Heat transfer characteristics of nanofluids: a review (2007) International Journal of Thermal Sciences, 46 (1), pp. 1-19. doi: 10.1016/j.ijthermalsci.2006.06.010

[14] Kakaç, S., Pramuanjaroenkij, A.Review of convective heat transfer enhancement with nanofluids (2009) International Journal of Heat and Mass Transfer, 52 (13-14), pp. 3187-3196. doi: 10.1016/j.ijheatmasstransfer.2009.02.006

[15] Blasius, H. Grenzschichten in Flüssigkeiten mit kleinerReibung (1908) Z. Math.Phys, 56, pp. 1-37.

[16] Sakiadis, B.C.Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow (1961) AIChE Journal, 7 (1), pp. 26-28. doi: 10.1002/aic.690070108

[17] Tsou, F.K., Sparrow, E.M., Goldstein, R.J. Flow and heat transfer in the boundary layer on a continuous moving surface (1967) International Journal of Heat and Mass Transfer, 10 (2), pp. 219-235. doi: 10.1016/0017-9310(67)90100-7

[18] Todd, L.A family of laminar boundary layers along a semi-infinite flat plate (1997) Fluid Dynamics Research, 19 (4), pp. 235-249. http://www.iop.org.ezproxy3.lhl.uab.edu/journals/fdr doi: 10.1016/S0169-5983(97)00038-5 

[19] Fang, T. A note on the unsteady boundary layers over a flat plate (2008) International Journal of Non-Linear Mechanics, 43 (9), pp. 1007-1011. doi: 10.1016/j.ijnonlinmec.2008.06.010

[20] Fang, T., Zhang, J., Yao, S.A new family of unsteady boundary layers over a stretching surface (2010) Applied Mathematics and Computation, 217 (8), pp. 3747-3755. doi: 10.1016/j.amc.2010.09.031

[21] Van Gorder, R.A., Vajravelu, K. Unsteady boundary layers: Convective heat transfer over a vertical flat plate (2009) ANZIAM Journal, 50 (4), pp. 541-549. doi: 10.1017/S1446181109000297

[22] Ahmad, S., Rohni, A.M., Pop, I. Blasius and Sakiadis problems in nanofluids (2011) Acta Mechanica, 218 (3-4), pp. 195-204.doi: 10.1007/s00707-010-0414-6

[23] Pak, B.C., Cho, Y.I. Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles (1998) Experimental Heat Transfer, 11 (2), pp. 151-170. doi: 10.1080/08916159808946559

[24] Behzadmehr, A., Saffar-Avval, M., Galanis, N. Prediction of turbulent forced convection of a nanofluid in a tube with uniform heat flux using a two phase approach (2007) International Journal of Heat and Fluid Flow, 28 (2), pp. 211-219.doi: 10.1016/j.ijheatfluidflow.2006.04.006

[25] El Bécaye Maïga, S., Palm, S.J., Nguyen, C.T., Roy, G., Galanis, N. Heat transfer enhancement by using nanofluids in forced convection flows (2005) International Journal of Heat and Fluid Flow, 26 (4 SPEC. ISS.), pp. 530-546. doi: 10.1016/j.ijheatfluidflow.2005.02.004

[26] Zeinali Heris, S., Nasr Esfahany, M., Etemad, S.Gh. Experimental investigation of convective heat transfer of Al2O3/water nanofluid in circular tube (2007) International Journal of Heat and Fluid Flow, 28 (2), pp. 203-210. doi: 10.1016/j.ijheatfluidflow.2006.05.001

[27] Xuan, Y., Li, Q.Investigation on convective heat transfer and flow features of nanofluids (2003) Journal of Heat Transfer, 125 (1), pp. 151-155. doi: 10.1115/1.1532008

[28] Alan Adams, J., Rogers, D.F. (1973) Computer-aided Heat Transfer Analysis. McGraw-Hill book company, New York

[29] Brinkman, H.C. The viscosity of concentrated suspensions and solutions (1952) The Journal of Chemical Physics, 20 (4), p. 571. doi: 10.1063/1.1700493

[30] Xuan, Y., Li, Q. Heat transfer enhancement of nanofluids (2000) International Journal of Heat and Fluid Flow, 21 (1), pp. 58-64. doi: 10.1016/S0142-727X(99)00067-3

[31] Stewartson, K. On the impulsive motion of a flat plate in a viscous fluid. II (1973) Quarterly Journal of Mechanics and Applied Mathematics, 26 (2), pp. 143-152. doi: 10.1093/qjmam/26.2.143

[32] Takhar, H.S., Nitu, S., Pop, I. Boundary layer flow due to a moving plate: variable fluid properties (1991) Acta Mechanica, 90 (1-4), pp. 37-42. doi: 10.1007/BF01177397

[33] Pop, I., Gorla, R.S.R., Rashidi, M.The effect of variable viscosity on flow and heat transfer to a continuous moving flat plate (1992) International Journal of Engineering Science, 30 (1), pp. 1-6. doi: 10.1016/0020-7225(92)90115-W

[34] Andersson, H.I., Aarseth, J.B. Sakiadis flow with variable fluid properties revisited (2007) International Journal of Engineering Science, 45 (2-8), pp. 554-561. doi: 10.1016/j.ijengsci.2007.04.012