Abstract
Unsteady flow of a nanofluid past a semi-infinite vertical flat plate is theoretically investigated. Unsteadiness is caused by steady rates of accretion or ablation at leading edge. Two types of nanofluids, namely, Cu-water and Ag-water are considered, with Prandtl number Pr = 6.2. Governing partial differential equations are transformed into ordinary differential equations, using a similarity transformation. The resulting ordinary differential equations are solved numerically. Results are compared with those of regular fluid (ϕ = 0) with Pr = 0.7 and comparison shows good agreement with previous results. Effects of nanoparticle volume fraction on flow and heat transfer characteristics, influence of buoyancy force and unsteady parameter, are presented and discussed in detail. It is found that effects of the volume fraction on skin friction and wall temperature gradient are more significantly influential in Ag-water solution than in Cu-water solution.
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References
J A Eastman, U S Choi, S Li, L J Thompson and S Lee Proceedings of Materials Research Society Symposium p 3(1997)
S U S Choi ASME Fluids Eng. Div. 231 99 (1995)
J Buongiorno J. Heat Transf. Trans. ASME 128 240 (2006)
N R Karthikeyan, J Philip and B Raj Mater. Chem. Phys. 109 50 (2008)
H Blasius Grenzschichten in Flussigkeiten mit kleinerReibung Z. Math. Phys. 56 1 (1908)
B C Sakiadis AIChE J 7 26 (1961)
F K Tsou, E M Sparrow and R J Goldstein Int. J. Heat Mass Transf. 10 219 (1967)
L Todd Fluid Dyn. Res. 19 235 (1997)
T Fang Int. J. Non Linear Mech. 43 1007 (2008)
T Fang, J Zhang and S Yao Appl. Math. Comput. 217 3747 (2010)
R A VanGorder and K Vajravelu ANZIAM J. 50 541(2009)
N S Akbar, S Nadeem, R U Haq and Z H Khan Indian J. Phys. 87 1121 (2013)
R K Tiwari and M K Das Int. J. Heat Mass Transf. 50 2002 (2007)
H F Oztop and E Abu-Nada Int. J. Heat Fluid Flow 29 1326 (2008)
M Muthamilselvan, P Kandaswamy and J Lee Commun. Non Linear Sci. Numer. Simul. 15 1501 (2010)
S Ahmad, A M Rohni and I Pop Acta Mech. 218 195 (2011)
N A Yacob, A Ishak, I Pop and K Vajravelu Nanoscale Res. Lett. 6 314 (2011)
N Bachok, A Ishak and I Pop Int. J. Heat Mass Transf. 55 642 (2012)
P Loganathan, P Nirmal Chand and P Ganesan Nano 8 135001 (2013)
P Loganathan and C Vimala Int. J. Heat Tech. 31 95 (2013)
H C Brinkman J. Chem. Phys. 20 571 (1952)
Y Xuan and Q Li Int. J. Heat Fluid Flow 21 58 (2000)
J C Maxwell A Treatise on Electricity and Magnetism (London : Oxford University Press) (1892)
K Stewartson II Quart J. Mech. Appl. math. 26 143 (1973)
J Alan Adams and D F Rogers Computer-Aided Heat Transfer Analysis (New York: Mc Graw Hill book company) p 285 (1973)
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Loganathan, P., Vimala, C. Unsteady flow of nanofluids past a vertical flat plate with leading edge accretion or ablation. Indian J Phys 88, 855–859 (2014). https://doi.org/10.1007/s12648-014-0494-6
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DOI: https://doi.org/10.1007/s12648-014-0494-6