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exact-analytical solution

Journal of Mechanics (1)

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A New Exact-Analytical Solution for Convective Heat Transfer of Nanofluids Flow in Isothermal Pipes
P. Akbarzadeh
Journal:

Journal of Mechanics / Volume 35 / Issue 2 / April 2019

Published online by Cambridge University Press:

15 November 2017, pp. 233-242

Print publication:

April 2019
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This study presents a new exact-analytical solution for convective heat transfer of thermally fully-developed laminar nanofluid flows in a circular tube for the first time. In this problem, the pipe wall is exposed to a constant temperature. The solution is based on the Whittaker function and perturbation technique. In the nanofluid model, it is assumed that nanoparticles and base-fluid behave as a single-phase with average properties. In this study, the effects of Reynolds number, volume fraction of the particles, Peclet number, and particle diameter are investigated on the average heat transfer coefficient, surface mass transfer, and Nusselt number.