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Effects of buoyancy ratio on diffusion of solid particles inside a pipe during double diffusive flow of a nanofluid

Abdelraheem M. Aly (Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia and Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt)
Ehab Mahmoud Mohamed (Electrical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addwasir, Saudi Arabia and Electrical Engineering Department, Faculty of Engineering, Aswan University, Egypt)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 27 November 2020

Issue publication date: 24 May 2021




The purpose of this study is to use an incompressible smoothed particle hydrodynamics (ISPH) method for simulating buoyancy ratio and magnetic field effects on double diffusive natural convection of a cooper-water nanofluid in a cavity. An open pipe is embedded inside the center of a cavity, and it is occupied by solid particles.


The dimensionless governing equations in Lagrangian form were solved by ISPH method. Two different thermal conditions were considered for the solid particles. The actions of the solid particles were tracked inside a cavity. The effects of Hartman parameter, Rayleigh number, nanoparticles volume fraction and Lewis number on features of heat and mass transfer and flow field were tested.


The results showed that the buoyancy ratio changes the directions of the solid particles diffusion in a cavity. The hot solid particles were raised upwards at aiding mode (N > 0) and downwards at an opposing mode (N < 0). A comparison is made with experimental and numerical simulation results, and it showed a well agreement.


Novel studies for the impacts of buoyancy ratio on the diffusion of solid particles embedded in an open pipe during double-diffusive flow were conducted.



The authors would like to extend their appreciations to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, for funding this work through the Research Group Project under grant number (R.G.P 2/70/41).


Aly, A.M. and Mohamed, E.M. (2021), "Effects of buoyancy ratio on diffusion of solid particles inside a pipe during double diffusive flow of a nanofluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 6, pp. 1951-1986.



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