Development of a source code to analyze the effect of Reynolds number on a square lid driven cavity

• Autorzy: Rahi K. H. , Mortuza G. M. , Al-Faruk A.

Identyfikatory

DOI

10.30464/jmee.2018.2.2.147

• Języki publikacji: EN

Abstrakty

EN

Numerical simulations of two-dimensional, steady, incompressible lid driven flow in a square cavity were investigated in this work. A commercial finite volume package of ANSYS-FLUENT was used to analyze and visualize the nature of the flow inside the cavity at different Reynolds Numbers. In addition, a MATLAB code was developed and validated by comparing the results with the reference values from literature. Staggered grid was employed in the discretization of the cavity to avoid checkerboard pressure while developing the code. The governing equations were discretized in terms of velocity and pressure fields. The artificial compressibility method was used to de-couple the pressure and velocity terms in the governing equations. A 129×129 grid system was used in both cases. The effects of Reynolds number (100≤ Re ≤ 1000) on the flow characteristics were illustrated through an analysis of stream function, velocity vector, pressure co-efficient and velocity contours. The thinning of the wall boundary layers with an increase in the Reynolds number is evident from the u and v velocity profiles along the vertical and horizontal lines at the geometric center, although the rate of this thinning is very slow for Re> 5000.

Słowa kluczowe

EN

lid driven cavity; Reynolds number; artificial compressibility method; fluid flow characteristics

PL

liczba Reynoldsa; metoda sztucznej ściśliwości; charakterystyka przepływowa

• Wydawca: Wydawnictwo Uczelniane Politechniki Koszalińskiej
• Czasopismo: Journal of Mechanical and Energy Engineering
• Rocznik: 2018
• Tom: Vol. 2, No 2
• Strony: 147--154
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Rahi K. H.

• Department of Mechanical Engineering, Khulna University of Engineering &Technology, Focus B/-233, Sonar Bangla, Baluchor, Sylhet-3100, Bangladesh

autor

Mortuza G. M.

• Department of Mechanical Engineering, Khulna University of Engineering &Technology, Bangladesh

autor

Al-Faruk A.

• Department of Mechanical Engineering, Khulna University of Engineering &Technology, Bangladesh

Bibliografia

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• 2. Prasad A K., Koseff J R. (1989). Reynolds Number and Endwall Effects on a Lid Driven Cavity Flow. Physics of Fluids, Vol 1, Issue 2.
• 3. Deville M., Le T H., Morchoisne Y. (1992). Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows. NNFM, Vol. 36.
• 4. Hou S., Zou Q., Chen S., Doolen G., Cogley AC. (1995). Simulation of cavity flow by the lattice Boltzmann method. Journal of Computational Physics,118:329–347.
• 5. Barragy E., Carey GF. (1997). Stream Function-Vorticity Driven Cavity Solutions Using P Finite Elements. Computers and Fluids, Vol. 26, pp. 453–468.
• 6. Botella O., Peyret R. (1998). Benchmark Specteal Result on the Lid Driven Cavity Flow. Computers & Fluids, Vol. 27, No. 4, pp. 421-433.
• 7. Schreiber R, Keller HB. (1983). Driven cavity flows by efficient numerical techniques. Journal of ComputationalPhysics,49:310–333.
• 8. Chiang T.P., Sheu W.H. and Robert R. H. (1998). Effect of Reynolds Number on the Eddy Structure in a Lid Driven Cavity. International Journal for Numerical Method in Fluids, VOL. 26, 557–579.
• 9. Ercan Erturk. (2009). Discussions On Driven Cavity Flow, Int. J. Numer. Meth. Fluids, Vol 60: pp 275-294.
• 10. Bruneau Ch. H., Saad M. (2006). The 2D lid-driven cavity problem revisited. Computers & Fluids, 35 (3).
• 11. Migeon C., Pineau G. and Texier A. (2003). Three dimensionality development inside standard parallel pipe lid-driven cavities at Re = 1000. J. Fluids and Struc, 17 (1): 717–738.
• 12. Hans Petter Langtangen, Kent-Andre Mardal, Ragnar Winther, Numerical Methods for Incompressible Viscous Flow, University of Oslo.
• 13. Alexandre Joel Chorin, (1997). A Numerical Method for Solving Incompressible Viscous Flow Problem. Journal of Computational Physics, 135, pp. 118-125.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).