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

Yıl 2018, Cilt: 8 Sayı: 2, 462 - 472, 01.06.2018

İnci Çilingir Süngü Hüseyin Demir

Öz

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

Anahtar Kelimeler

Diferansiyel dönüşüm-sonlu fark metodu, Çok adımlı metot, Çukur bölgede akış, Sayısal çözüm, Boussinesqstokes akışkan, Şüpheli parçacıklar

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

Öz

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.

Anahtar Kelimeler

Differential Transform-Finite Difference Hybrid Methods, Multi-time-stepping, Cavity Driven Flow, Numerical solution, Boussinesq-Stokes Liquid, Suspended Particles

Kaynakça

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