PIV Measurements and POD Analysis during Natural Convection with Protruded Heater in a Rectangular Enclosure

Abstract:

An extensive measurement using 2-D Particle Image Velocimetry (PIV) technique has been carried out during natural convection with a heating sources protruded on the non-heated lower surface of a rectangular enclosure. A time-resolved data series have been captured to analyse the effect of different Rayleigh number on flow fields for fluid of Prandtl number 0.71. A fast and efficient data analysis tool based on the Proper Orthogonal Decomposition (POD) technique has been used to create low dimensional approximations of high dimensional systems for predicting the dominant flow structures. This includes interpolating results at off-design parameters, along with knowledge about contours of different higher modes as well as obtaining information about the energy content in each specific mode. The mean non fluctuating mode showed maximum energy and the same decreased with increasing mode number. This allowed a clear detailed understanding about the complex non-linearities in the problem using a linear decomposition technique

• Periodical: Applied Mechanics and Materials (Volumes 592-594)
• Pages: 1733-1737
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.592-594.1733
• Online since: July 2014
• Authors: Nirmalendu Biswas*, Souvick Chatterjee, Amlan Garai, Prokash Chandra Roy, Achintya Mukhopadhyay
• Keywords: Modes, Reconstruction, Natural Convection, PIV Measurement, POD Analysis

References

[1] S. Ostrach, Natural Convection in Enclosures, J. Heat Transfer, 110 (1988) 1175–1190.

DOI: 10.1115/1.3250619

[2] O. Aydin, W.J. Yang, Natural convection in enclosures with localized heating from below and symmetrical cooling from sides, Int. J. Numer. Methods Heat Fluid Flow 10 (2000) 519–529.

DOI: 10.1108/09615530010338196

[3] A. AlAmiri, K. Khanafer, I. Pop, Buoyancy-induced flow and heat transfer in a partially divided square enclosure, Int. J. Heat Mass Transfer 52 (2009) 3818–3828.

DOI: 10.1016/j.ijheatmasstransfer.2009.01.043

[4] M. Paroncini, F. Corvaro, Natural convection in a square enclosure with a hot source, Int. J. Thermal Sci. 48 (2009) 1683–1695.

DOI: 10.1016/j.ijthermalsci.2009.02.005

[5] P. Ding, X. -H. Wu, Y. -L. He, W. -Q. Tao, A fast and efficient method for predicting fluid flow and heat transfer problems, J. Heat Transfer 130 (2008) 1–17.

DOI: 10.1115/1.2804935

[6] C. Allery, C. Beghein, A. Hamdouni, Applying Proper Orthogonal Decomposition to the computation of particle dispersion in a two- dimensional ventilated cavity, Commun. Nonlinear Sci. Numer. Simul. 10 (2005) 907–920.

DOI: 10.1016/j.cnsns.2004.05.005

[7] J.M. Pedersen, K.E. Meyer, POD analysis of flow structures in a scale model of a ventilated room, Exp. Fluids 33 (2002) 940–949.

DOI: 10.1007/s00348-002-0514-8

[8] N. Biswas: An Experimental Visualisation with Particle Image Velocimetry and CFD Analysis of Flow through Radial Channels, M. E Thesis, Jadavpur University (2008), Kolkata-700032.

[9] R. Adrian, Particle Imaging Techniques for Experimental Fluid Mechanics, Annu. Rev., Fluid Mech. 23 (1991) 261–304.

DOI: 10.1146/annurev.fl.23.010191.001401

[10] B. Timmins, B. Wilson, B. Smith, P. Vlachos, A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements, Exp. Fluids 53 (2012) 1133–1147.

DOI: 10.1007/s00348-012-1341-1

[11] S.K. Kim, S.Y. Kim, Y.D. Choi, Amplification of boundary layer instability by hot wall thermal oscillation in a side heated cavity, Physics of Fluids 17-014103 (2005) 1–12.

DOI: 10.1063/1.1828122