Technical Brief

Analysis of Particle Image Velocimetry Measurements of Natural Convection in an Enclosure Using Proper Orthogonal Decomposition

[+] Author and Article Information
Nirmalendu Biswas

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: nirmalendubiswas@yahoo.co.in

Souvick Chatterjee

Department of Biomedical Engineering and Mechanics,
Virginia Tech,
Blacksburg, VA 24061
e-mail: souvickchat@gmail.com

Mithun Das

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: mdas190@gmail.com

Amlan Garai

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: amlangarai@gmail.com

Prokash C. Roy

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: prokash.roy@gmail.com

Achintya Mukhopadhyay

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: achintya.mukho@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 30, 2014; final manuscript received November 20, 2014; published online August 11, 2015. Assoc. Editor: Suman Chakraborty.

J. Heat Transfer 137(12), 124502 (Aug 11, 2015) (4 pages) Paper No: HT-14-1366; doi: 10.1115/1.4030957 History: Received May 30, 2014

This work investigates natural convection in an enclosure with localized heating on the bottom wall with a flushed or protruded heat source and cooled on the top and the side walls. Velocity field measurements are done by using 2D particle image velocimetry (PIV) technique. Proper orthogonal decomposition (POD) has been used to create low dimensional approximations of the system for predicting the flow structures. The POD-based analysis reveals the modal structure of the flow field and also allows reconstruction of velocity field at conditions other than those used in PIV study.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.


Ostrach, S. , 1988, “Natural Convection in Enclosures,” ASME J. Heat Transfer, 110(4b), pp. 1175–1190. [CrossRef]
Aydin, O. , and Yang, W. J. , 2000, “Natural Convection in Enclosures With Localized Heating From Below and Symmetrical Cooling From Sides,” Int. J. Numer. Methods Heat Fluid Flow, 10(5), pp. 518–529. [CrossRef]
AlAmiri, A. , Khanafer, K. , and Pop, I. , 2009, “Buoyancy-Induced Flow and Heat Transfer in a Partially Divided Square Enclosure,” Int. J. Heat Mass Transfer, 52(15–16), pp. 3818–3828. [CrossRef]
Banerjee, S. , Mukhopadhyay, A. , Sen, S. , and Ganguly, R. , 2008, “Natural Convection in a Bi-Heater Configuration of Passive Electronic Cooling,” Int. J. Therm. Sci., 47(11), pp. 1516–1527. [CrossRef]
Paroncini, M. , and Corvaro, F. , 2009, “Natural Convection in a Square Enclosure With a Hot Source,” Int. J. Therm. Sci., 48(9), pp. 1683–1695. [CrossRef]
Muld, T. W. , Efraimsson, G. , and Henningson, D. S. , 2012, “Flow Structures Around a High-Speed Train Extracted Using Proper Orthogonal Decomposition and Dynamic Mode Decomposition,” Comput. Fluids, 57, pp. 87–97. [CrossRef]
Ding, P. , Wu, X.-H. , He, Y.-L. , and Tao, W.-Q. , 2008, “A Fast and Efficient Method for Predicting Fluid Flow and Heat Transfer Problems,” ASME J. Heat Transfer, 130(3), p. 032502. [CrossRef]
Miozzi, M. , and Querzoli, G. , 1996, “PTV and POD Analysis of the Instabilities in a Quasi Two Dimensional Convective Flow,” Appl. Sci. Res., 56(2–3), pp. 221–242. [CrossRef]
Duwig, C. , and Iudiciani, P. , 2010, “Extended Proper Orthogonal Decomposition for Analysis of Unsteady Flames,” Flow, Turbul. Combust., 84(1), pp. 25–47. [CrossRef]
Biswas, N. , 2008, “An Experimental Visualisation With Particle Image Velocimetry and CFD Analysis of Flow Through Radial Channels,” Master of Mechanical Engineering thesis, Jadavpur University, Kolkata, India.
Adrian, R. , 1991, “Particle Imaging Techniques for Experimental Fluid Mechanics,” Annu. Rev. Fluid Mech., 23, pp. 261–304. [CrossRef]
Timmins, B. , Wilson, B. , Smith, B. , and Vlachos, P. , 2012, “A Method for Automatic Estimation of Instantaneous Local Uncertainty in Particle Image Velocimetry Measurements,” Exp. Fluids, 53(4), pp. 1133–1147. [CrossRef]
Kim, S. K. , Kim, S. Y. , and Choi, Y. D. , 2005, “Amplification of Boundary Layer Instability by Hot Wall Thermal Oscillation in a Side Heated Cavity,” Phys. Fluids, 17(1), p. 014103. [CrossRef]


Grahic Jump Location
Fig. 1

Schematic diagram of the experimental setup

Grahic Jump Location
Fig. 2

Velocity contour (a) from PIV results and (b) reconstructed using POD for e/H = 0.11 and Ra = 1.35 × 107

Grahic Jump Location
Fig. 3

Velocity contour for (a) mode—1 (mean), (b) mode—2, (c) mode—3, and (d) mode—4 at Ra = 7.58 × 106, protruded heater configuration (e/H = 0.11)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In