- Hacettepe Journal of Mathematics and Statistics
- Volume:48 Issue:4
- Numerical simulation of unsteady mixed convection of nanofluid in a lid-driven square cavity
Numerical simulation of unsteady mixed convection of nanofluid in a lid-driven square cavity
Authors : Nagehan ALSOY-AKGÜN
Pages : 1057-1078
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Publication Date : 2019-08-08
Article Type : Research Paper
Abstract :The behavior of unsteady mixed convection flow of $Cu-$water based nanofluids is investigated numerically inside a square lid-driven partially heated flow below. Dual Reciprocity Boundary Element Method is used to solve stream function-vorticity form of the governing equations of the problem. The need of time integration scheme is eliminated by transforming the vorticity transport and energy equations to modified Helmholtz equations. This procedure also diminishes the stability problems. The numerical results are given for several values of Reynolds number $insert ignore into journalissuearticles values(Re);$, Rayleigh number $insert ignore into journalissuearticles values(Ra);$, heat source location $insert ignore into journalissuearticles values(D);$, heat source length $insert ignore into journalissuearticles values(B);$ and solid volume fraction $insert ignore into journalissuearticles values(\phi);$. The steady-state results are in good agreement with the results available in the literature.Keywords : DRBEM, nanofluid, lid driven cavity