New Algorithm for the Lid-driven Cavity Flow Problem with Boussinesq-Stokes Suspension

In the present investigation, a streamfunction-vorticity form for Boussinesq-Stokes liquids (with suspended particles) is suitably used to examine the problem of 2-D unsteady incompressible flow in a square cavity with moving top and bottom wall. A new algorithm is used for this form in order to compute the numerical solutions for high Reynolds numbers up to Re=2500. This algorithm is conducted as a combination of the multi-time-stepping temporal differential transform and the spatial finite difference methods. Convergence of the time-series solution is ensured by multi-time-stepping method. The classical benchmark results of the Newtonian liquid are recovered as a limiting case and the decelerating influence of the suspended particle on the Newtonian liquids’ flow field is clearly elaborated.

Boussinesq-Stokes Süspansiyonlu Duvar (Kapak) Hareketli Akış Problemi için Yeni Bir Algoritma

Bu çalışmada Boussinesq-Stokes tipi akışkanların kapalı bölgede zamana bağlı akışı incelenmiştir. Problem, zaman değişkenine çok adımlı diferansiyel dönüşüm metodu konum değişkenlerine sonlu fark metodu uygulanarak çözülmüştür. Elde edilen zamana bağlı seri çözümünün yakınsaklığı çok adımlı metot uygulanarak sağlanmıştır. Sonuçlar, Newtonian akışkanlar için grafiklerle literatür ile karşılaştırılarak metodun etkinliği gösterilmiş, şüpheli parçacıkların Newtonian akışkanlar üzerine olan yavaşlatıcı etkisi ise grafiklerle incelenmiştir.

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