Fluid Structure Interaction Applications

education thesis presentation

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2. Computational Study of Forces Past Three Cylinder Arranged in Right Faced Vertical Equilatral Triangle By Sobia Siraj MS Thesis Session 202 1 – 202 3 Supervised By: Dr. Ghazala Nazeer Department of Mathematics The Government Sadiq College Women University Bahawalpur 2

3. CONTENTS 3 Fluid Structure Interaction (FSI) Fluid Structure Interaction Application Computational Fluid Dynamics (CFD) Lattice Boltzmann Method Advantages of Lattice Boltzmann Method Governing Equation Physical Parameters Geometry Different Flow Past References

4. Fluid-Structure Interaction 4 FSI is the interaction of a fluid flow with a solid structure of any shape and design. The problem of FSI becomes more complex when single bluff body is replaced with multiple bluff bodies having different shapes, sizes and alignments due to presence of drag force which effects the wake formation and shear layer separation . For example engines, bridges, automobiles, airplanes and rockets etc.

5. Fluid Structure Interaction Applications

6. Computational Fluid Dynamics Computational Fluid Dynamics use numerical analysis and data structure to analyze and solve problems that involving fluid flows . It convert partial differential equation into algebraic equation. CFD are used to analyze the problems that involving the Fluid-fluid interaction Fluid solid interaction

7. Lattice Boltzmann Method Lattice Boltzmann Method originated from the lattice gas automata method, is a class of computational fluid dynamics method for fluid simulation. Lattice Boltzmann Method is used to simulate the flow of a fluid viscosity. Using streaming and collision (relaxation) processes, a fluid density on a lattice is simulated as opposed to say directly solving the Navier Stockes Equations.

8. Advantages of Lattice Boltzmann Method It is easy to process and complete the parallel tasks based LBM. It is easy to program, and the processing before and after is also very simple.

9. Governing Equation The governing equations for two-dimensional flow problem for three staggered square cylinders are given as follow. Equation of Continuity: = 0 …………………………………………………………..….. (a) Two-dimensional Navier s tokes Equation : ………….. (b) ………….. (c)  

10. Streamline Body A streamline body is an object, where a significant portion of the surface area is not separated flow. Bluff Body A bluff body is an object, where a significant portion of the surface area is separated flow .

11. Arrangements

12. Physical Parameters 12 Reynolds Number (Re): Reynolds number (Re) is a dimensionless number given by Re = U ∞ L ν Gap Spacing(g): The Gap spacing(g) is a dimensionless quantity which indicates the distance between two objects.

13. Equal Gap Spacing: Un-Equal Gap Spacing: Physical Parameters

14. G e ometry 14

15. 1. Solo Bluff Body Vertically Expanded Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power spectrum Analysis

16. 2. Wavy Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

17. 3. Distorted Bluff Body Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

18. 4. Two Rows Vertex Street along Centrically Segregated Negative Vortex Line (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

19. 5. Wavy Jumbled Flow (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

20. 6. Jumbled Flow (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

21. 7. Wavy Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

22. 8. Steady Jumbled Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

23. 9. Initially Anti-Phase and Later Chaotic Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

24. 10. In-Phase Jumbled Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

25. 11. In-Phase and Anti-Phase Jumbled Flow Pattern (a) Vorticity Snapshot (b - c) Drag and Lift Graph (d - f) Power Spectrum Analysis

26. References Canpolat, C. (2015). Characteristics of flow past a circular cylinder with a rectangular groove.  Flow Measurement and Instrumentation ,  45 , 233-246. Grucelski, A., & Pozorski, J. (2015). Lattice Boltzmann simulations of heat transfer in flow past a cylinder and in simple porous media.  International Journal of Heat and Mass Transfer ,  86 , 139-148. Tang, G. Q., Chen, C. Q., Zhao, M., & Lu, L. (2015). Numerical simulation of flow past twin near-wall circular cylinders in tandem arrangement at low Reynolds number.  Water Science and Engineering ,  8 (4), 315-325.

27. Al-Mdallal, Q. M. (2015). Numerical simulation of viscous flow past a circular cylinder subject to a circular motion.  European Journal of Mechanics-B/Fluids ,  49 , 121-136. Kumar, A., & Ray, R. K. (2015). Numerical study of shear flow past a square cylinder at Reynolds numbers 100, 200.  Procedia Engineering ,  127 , 102-109. Zhang, K., Katsuchi, H., Zhou, D., Yamada, H., & Han, Z. (2016). Numerical study on the effect of shape modification to the flow around circular cylinders.  Journal of Wind Engineering and Industrial Aerodynamics ,  152 , 23-40.