Thermal Science 2015 Volume 19, Issue 5, Pages: 1603-1612
https://doi.org/10.2298/TSCI121020079M
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The unsteady flow of a nanofluid in the stagnation point region of a time-dependent rotating sphere
Malvandi Amir (Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran + Sun Air Research Institute (SARI), Ferdowsi University of Mashhad, Mashhad, Iran)
This paper deals with the unsteady boundary layer flow and heat transfer of
nanofluid over a time-dependent rotating sphere where the free stream
velocity varies continuously with time. The boundary layer equations were
normalized via similarity variables and solved numerically. Best accuracy of
the results has been obtained for regular fluid with previous studies. The
nanofluid is treated as a two-component mixture (base fluid+nanoparticles)
that incorporates the effects of Brownian diffusion and thermophoresis
simultaneously as the two most important mechanisms of slip velocity in
laminar flows. Our outcomes indicated that as A and λ increase, surface shear
stresses, heat transfer and concentration rates, climb up. Also, Increasing
the thermophoresis Nt is found to decrease in the both values of heat
transfer and concentration rates. This decrease supresses for higher
thermophoresis number. In addition, it was observed that unlike the heat
transfer rate, a rise in Brownian motion Nb, leads to an increase in
concentration rate.
Keywords: nanofluid, rotating sphere, similarity solution, unsteady stagnation point, thermophoresis