THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Abdelraheem M. Aly

,

Sameh E. Ahmed

IMPROVED INCOMPRESSIBLE SPH METHOD FOR NATURAL-CONVECTION FROM HEATED T-OPEN PIPE OF AL2O3-WATER NANOFLUID IN A CAVITY: BUONGIORNO’S TWO-PHASE MODEL

ABSTRACT
The unsteady natural-convection of Al2O3-water nanofluid form heated open T-pipe inside a cavity has been investigated by incompressible smoothed particle hydrodynamic (ISPH) method using non-homogenous two-phase Buongiorno’s model. Different lengths and heights of T-pipe shape are considered. The side walls of the cavity are kept at cool temperature Tc and the horizontal walls are thermally insulated. The Lagrangian description of the controlling governing equations is discretized and solved using improved ISPH method. In this study, ISPH method is improved using kernel renormalization function for boundary treatment plus modification in the source term of pressure Poisson equation. The source term of pressure Poisson equation contains the velocity divergence plus density invariance multiply by relaxation coefficient. The calculations are performed for variable lengths of T-open pipe (0.2 ≤ Lb ≤ 0.6), variable widths of T-open pipe (0.02 ≤ Wb ≤ 0.16), (0.02 ≤ Wt ≤ 0.16), and variable concentration of nanoparticles volume fraction (1% ≤ φavg ≤ 10%). The obtained results showed that the maximum values of the stream function are reduced by 80.8% when φavg is increased from 1-10%. Additionally, as lengths and widths of the T-pipe are raised, the average Nusselt numbers at the vertical walls are enhanced.
KEYWORDS
Buongiorno Model, Improved ISPH, nanofluid, natural convection, square cavity, T-open pipe
PAPER SUBMITTED: 2020-11-22
PAPER REVISED: 2021-02-18
PAPER ACCEPTED: 2021-02-23
PUBLISHED ONLINE: 2021-04-10
DOI REFERENCE: https://doi.org/10.2298/TSCI201122148A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 1, PAGES [613 - 627]
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Improved incompressible SPH method for natural-convection from heated T-open pipe of Al2O3-water nanofluid in a cavity: Buongiorno’s two-phase model

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