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Natural convection of Al 2 O 3 ‐water nanofluid filled annulus between a wavy rectangle and a square cavity using Buongiorno's two‐phase model
Author(s) -
Aly Abdelraheem M.
Publication year - 2020
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000002
Subject(s) - nanofluid , annulus (botany) , nusselt number , mechanics , natural convection , materials science , adiabatic process , stream function , heat transfer , amplitude , reynolds number , thermodynamics , optics , physics , composite material , vortex , turbulence , vorticity
In this work, an incompressible smoothed particle hydrodynamics (ISPH) method is used to simulate the natural convection of Al 2 O 3 ‐water nanofluid filled annulus between a wavy rectangle and a square cavity using non‐homogenous Buongiorno's two‐phase model. In the physical model, the left cavity wall is kept at a high temperature T h , the right wall has a lower temperature T c , and the horizontal walls are adiabatic. The Lagrangian description of the partial governing equations is discretized using ISPH method. Simulations were carried out for variable wave amplitude ( 0.01 ≤ A ≤ 0.12 ) , variable wave length of wavy rectangle ( 0.3 ≤ L r ≤ 0.8 ) , and variable average of nanoparticle volume fraction ( 1 % ≤ ϕ a v g ≤ 10 % ) . Moreover, two cases of thermal conductions including adiabatic and cooling conditions for the inner wavy blockage were considered. The length of the inner wavy rectangle plays an important role on controlling the convective heat transfer and fluid intensity through the annulus. An increase on the length and amplitude of the wavy rectangle reduces the convection flow, maximum values of the stream function and strength of the velocity field. A growing on the average of nanoparticle volume fraction ϕ a v greduces the maximum of the stream function, normalized nanoparticle volume fractions φ ∗ , and average Nusselt number.