Abstract
The steady state, viscous flow and heat transfer of a nanofluid in the vicinity of an axisymmetric stagnation point of a stationary cylinder is investigated. Exact solution of the Navier–Stokes equations and energy equation are derived in this problem. For all Reynolds numbers, as the particle fraction increases, the depth of diffusion of the thermal boundary layer and shear stresses decreases. It’s clear that by adding nanoparticles to the base fluid there is a significant enhancement in convective heat transfer coefficient and convective heat flux.
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References
Corcione M (2011) Empirical-correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids. Energy Convers Manag 52:789–793
Gorla RSR (1976) Heat transfer in an axisymmetric stagnation flow on a cylinder. Appl Sci Res 32:541–553
Gorla RSR (1978a) Nonsimilar axisymmetric stagnation flow on a moving cylinder. Int J Eng Sci 16:397–400
Gorla RSR (1978b) Transient response behavior of an axisymmetric stagnation flow on a circular cylinder due to time dependent free stream velocity. Int J Eng Sci 16:493–502
Gorla RSR (1979) Unsteady viscous flow in the vicinity of an axisymmetric stagnation-point on a cylinder. Int J Eng Sci 17:87–93
Maxwell JC (1881) A treatise on electricity and magnetism. Oxford Univ. Press, Cambridge
Mohammadiun H, Rahimi AB (2012) Stagnation-point flow and heat transfer of a viscous, compressible fluid on a cylinder. J Thermophys Heat Trans 26:494–502
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1997) Numerical recipes: the art of scientific computing. Cambridge University Press, New York 548
Saleh R, Rahimi AB (2004) Stagnation flow and heat transfer on a moving cylinder with transpiration and high Reynolds number consideration. Iran J Sci Technol Trans Mech Eng 28(4):453–466
Tahavvor AR (2013) Experimental and numerical study of a turbulent axisymmetric jet impinging onto a circular cylinder in offset and non-offset situations. Iran J Sci Technol Trans Mech Eng 37:63–70
Wang C (1974) Axisymmetric stagnation flow on a cylinder. Q Appl Math 32:207–213
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Mohammadiun, H., Amerian, V., Mohammadiun, M. et al. Similarity Solution of Axisymmetric Stagnation-Point Flow and Heat Transfer of a Nanofluid on a Stationary Cylinder with Constant Wall Temperature. Iran J Sci Technol Trans Mech Eng 41, 91–95 (2017). https://doi.org/10.1007/s40997-016-0022-8
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DOI: https://doi.org/10.1007/s40997-016-0022-8