Karaelmas Fen ve Mühendislik Dergisi 2146-7277 Zonguldak Bülent Ecevit Üniversitesi Boussinesq-Stokes Süspansiyonlu Duvar Kapak Hareketli Akış Problemi için Yeni Bir Algoritma New Algorithm for the Lid-driven Cavity Flow Problem with Boussinesq-Stokes Suspension Süngü İnci Çilingir Department of Mathematics and Science Education, Education Faculty, Ondokuz Mayıs University, Samsun, Turkey Demir Hüseyin Department of Mathematics Engineering, Engineering and Natural Sciences Faculty, Gümüşhane University, Gümüşhane, Turkey 06 01 2018 8 2 462 472 Copyright © 2011, Karaelmas Fen ve Mühendislik Dergisi 2011 Karaelmas Fen ve Mühendislik Dergisi

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

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.

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