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Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface
American Journal of Applied Mathematics
Volume 3, Issue 1-1, January 2015, Pages: 30-42
Received: Nov. 15, 2014; Accepted: Nov. 26, 2014; Published: Dec. 27, 2014
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Authors
K. M. Salah Uddin, Department of Management Information Systems, University of Dhaka, Dhaka, Bangladesh
Litan Kumar Saha, Deparment of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
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Abstract
In the present numerical study is devoted to investigate the lid-driven cavity flow with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no-slip. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. The wide ranges of governing parameters, i. e., the Reynolds number (Re), and the number of undulations (λ) on the flow structures are investigated in detail. The behavior of the force coefficient Cf also has been examined. Streamline plots provide the details of fluid flow. The fluid contained inside a squared cavity is set into motion by the top wall which is sliding at constant velocity from left to right and the undulation which was induced at the bottom surface. It is found that these parameters have significant effect on the flow fields in the cavity. Furthermore, the trends of skin friction for different values of the aforementioned parameters are presented in this investigation.
Keywords
Skin Friction; Lid Driven Cavity; Numerical Study, Wavy Surface
To cite this article
K. M. Salah Uddin, Litan Kumar Saha, Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface, American Journal of Applied Mathematics. Special Issue:Fluid Flow and Heat Transfer Inside a Closed Domain. Vol. 3, No. 1-1, 2015, pp. 30-42. doi: 10.11648/j.ajam.s.2015030101.14
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