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.
| Published in |
American Journal of Applied Mathematics (Volume 3, Issue 1-1)
This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain |
| DOI | 10.11648/j.ajam.s.2015030101.14 |
| Page(s) | 30-42 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Skin Friction; Lid Driven Cavity; Numerical Study, Wavy Surface
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APA Style
K. M. Salah Uddin, Litan Kumar Saha. (2014). Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface. American Journal of Applied Mathematics, 3(1-1), 30-42. https://doi.org/10.11648/j.ajam.s.2015030101.14
ACS Style
K. M. Salah Uddin; Litan Kumar Saha. Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface. Am. J. Appl. Math. 2014, 3(1-1), 30-42. doi: 10.11648/j.ajam.s.2015030101.14
AMA Style
K. M. Salah Uddin, Litan Kumar Saha. Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface. Am J Appl Math. 2014;3(1-1):30-42. doi: 10.11648/j.ajam.s.2015030101.14
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Download@article{10.11648/j.ajam.s.2015030101.14,
author = {K. M. Salah Uddin and Litan Kumar Saha},
title = {Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {1-1},
pages = {30-42},
doi = {10.11648/j.ajam.s.2015030101.14},
url = {https://doi.org/10.11648/j.ajam.s.2015030101.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030101.14},
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.},
year = {2014}
}
TY - JOUR T1 - Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface AU - K. M. Salah Uddin AU - Litan Kumar Saha Y1 - 2014/12/27 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.s.2015030101.14 DO - 10.11648/j.ajam.s.2015030101.14 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 30 EP - 42 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030101.14 AB - 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. VL - 3 IS - 1-1 ER -
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