Numerical study of forced convection heat transfer in an oscillating lid driven cavity with heated top wall

Numerical study of forced convection heat transfer in an oscillating lid driven cavity with heated top wall

Jagadeesh V. IndukuriRanjith Maniyeri 

Department of Mechanical Engineering, National Institute of Technology Karnataka (NITK), Surathkal, Mangalore-575025, Karnataka, India

Corresponding Author Email: 
mranji1@nitk.edu.in
Page: 
1378-1387
|
DOI: 
https://doi.org/10.18280/ijht.360429
Received: 
12 September 2017
| |
Accepted: 
9 October 2018
| | Citation

OPEN ACCESS

Abstract: 

The present work is aimed to study the fluid flow and heat transfer behaviour in an oscillating lid-driven cavity using finite volume method by developing a two-dimensional computational model. Firstly, the developed computational model is validated by comparing our numerical results with that of the other researcher’s results for the case of wall moving with finite motion. Next, the simulations are conducted for oscillating cavity problem with top wall oscillation for Reynolds number (Re =5 00) and frequency(ω=2π/6). Later, the simulations are carried out for cases of oscillating parallel wall (upper and lower walls oscillating with sync) and oscillating anti-parallel wall (upper and lower walls oscillating with reverse sync) with the same optimum frequency and fixed Reynolds number (Re = 500). Secondly, the same optimum frequency is used to study the heat transfer characteristics in an oscillating lid-driven square cavity with heated top wall and lower cold wall for various Reynolds numbers (Re = 100-1000) and Prandtl numbers (Pr = 0.2 to 1.0). From this study, it is found that for high Prandtl number case (Pr = 1.0) the flow of high temperature isotherms inside the cavity is more when compared with low Prandtl number cases due to increase in molecular diffusion of momentum.

Keywords: 

finite volume method, SIMPLE algorithm, oscillating lid-driven cavity, Reynolds number, Prandtl number

1. Introduction
2. Mathematical Modelling and Numerical Procedure
3. Results and Discussions
4. Conclusions
Acknowledgement
  References

[1] Hasnat M, Kaid N, Bensafi M, Belkacem. (2015). A numerical technique finite volume method for solving diffusion 2D problem. The International Journal of Engineering and Science 4(10): 35-41.

[2] Pan F, Acrivos A. (1967). Steady flows in rectangular cavities. Journal of Fluid Mechanics 28(04): 643-655. https://doi.org/10.1017/S002211206700237X

[3] Koseff JR, Street RL. (1984). On end wall effects in a lid-driven cavity flow. Journal of Fluids Engineering 106(4): 385-389. http://dx.doi.org/10.1115/1.3243135

[4] Street RL. (1984). Visualization studies of a shear driven three-dimensional recirculating flow. Journal of Fluids Engineering 106: 21. http://dx.doi.org/10.1115/1.3242393

[5] Prasad AK, Koseff JR. (1989). Reynolds number and end‐wall effects on a lid‐driven cavity flow. Physics of Fluids A, Fluid Dynamics 1(2): 208-218. https://doi.org/10.1063/1.857491

[6] Ghia UKNG, Ghia KN, Shin CT. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics 48(3): 387-411. https://doi.org/10.1016/0021-9991(82)90058-4

[7] Patil DV, Lakshmisha KN, Rogg B. (2006). Lattice Boltzmann simulation of lid-driven flow in deep cavities. Computers & Fluids 35: 1116–1125. https://doi.org/10.1016/j.compfluid.2005.06.006

[8] Perumal DA, Dass AK. (2011). Multiplicity of steady solutions in two-dimensional lid-driven cavity flows by lattice boltzmann method. Computers & Mathematics with Applications 61(12): 3711-3721. https://doi.org/10.1016/j.camwa.2010.03.053

[9] Bruneau CH, Saad M. (2006). The 2D lid-driven cavity problem revisited. Computers & Fluids 35(3): 326-348. https://doi.org/10.1016/j.compfluid.2004.12.004

[10] Lin LS, Chen YC, Lin CA. (2011). Multi relaxation time lattice Boltzmann simulations of deep lid driven cavity flows at different aspect ratios. Computers & Fluids 45(1): 233-240. https://doi.org/10.1016/j.compfluid.2010.12.012

[11] Lin LS, Chang HW, Lin CA. (2013). Multi relaxation time lattice Boltzmann simulations of transition in deep 2D lid driven cavity using GPU. Computers & Fluids 80: 381-387. https://doi.org/10.1016/j.compfluid.2012.01.018

[12] Pandit SK, Kalita JC, Dalal DC. (2007). A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular. Journal of Computational Physics 225(1): 1100-1124. https://doi.org/10.1016/j.jcp.2007.01.016

[13] Aydm O. (1999). Aiding and opposing mechanisms of mixed convection in a shear-and buoyancy-driven cavity. International Communications in Heat and Mass Transfer 26(7): 1019-1028. https://doi.org/10.1016/S0735-1933(99)00091-3

[14] Burgos J, Cuesta I, Salueña C. (2016). Numerical study of laminar mixed convection in a square open cavity. International Journal of Heat and Mass Transfer 99: 599-612. https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.010

[15] Abdelmassih G, Vernet A, Pallares J. (2012). Numerical simulation of incompressible laminar flow in a three-dimensional channel with a cubical open cavity with a bottom wall heated. In Journal of Physics: Conference Series 395(1): 012099. https://doi.org/10.1088/1742-6596/395/1/012099

[16] Khanafer KM, Al-Amiri AM, Pop I. (2007). Numerical simulation of unsteady mixed convection in a driven cavity using an externally excited sliding lid. European Journal of Mechanics-B/Fluids 26(5): 669-687. https://doi.org/10.1016/j.euromechflu.2006.06.006

[17] Iwatsu R, Hyun JM, Kuwahara K. (1993). Numerical simulations of three-dimensional flows in a cubic cavity with an oscillating lid. Journal of Fluids Engineering 115(4): 680-686. http://dx.doi.org/10.1115/1.2910199

[18] Sriram S, Deshpande AP, Pushpavanam S. (2006). Analysis of spatiotemporal variations and flow structures in a periodically driven cavity. Journal of Fluids Engineering 128(3): 413-420. http://dx.doi.org/10.1115/1.2173289

[19] Mendu SS, Das PK. (2013). Fluid flow in a cavity driven by an oscillating lid—A simulation by lattice Boltzmann method. European Journal of Mechanics-B/Fluids 39: 59-70. https://doi.org/10.1016/j.euromechflu.2012.12.002

[20] Hu Z, Zheng X, Ma QW, Duan WY. (2015). Fluid flow in a cavity driven by an oscillating lid by an improved incompressible SPH. Procedia Engineering 126: 275-279. https://doi.org/10.1016/j.proeng.2015.11.241

[21] Saeidi SM, Khodadadi JM. (2006). Forced convection in a square cavity with inlet and outlet ports. International Journal of Heat and Mass Transfer 49(11): 1896-1906. https://doi.org/10.1016/j.ijheatmasstransfer.2005.10.033

[22] Dos Santos ED, Petry AP, Rocha LA, França FH. (2013). Numerical study of forced convection lid-driven cavity flows using LES (Large Eddy Simulation). Journal of Energy and Power Engineering 7(9): 1669.

[23] Varma IJ, Maniyeri R. (2017). Numerical simulation of oscillating lid driven cavity. Alexandria Engineering Journal, Article in Press. https://doi.org/10.1016/j.aej.2017.07.011

[24] Patankar S. (1980). Numerical heat transfer and fluiflow. CRC Press. http://dx.doi.org/10.1201/9781482234213.