0
Research Papers

Experimental Validation Benchmark Data for Computational Fluid Dynamics of Mixed Convection on a Vertical Flat Plate

[+] Author and Article Information
Blake W. Lance

Advanced Nuclear Concepts,
Sandia National Laboratories,
Albuquerque, NM 87185
e-mail: blance@sandia.gov

Jeff R. Harris

Applied Research Laboratory,
The Pennsylvania State University,
State College, PA 16802
e-mail: jeff.harris@psu.edu

Barton L. Smith

Professor
Fellow ASME
Mechanical and Aerospace Engineering,
Utah State University,
Logan, UT 84322
e-mail: barton.smith@usu.edu

Manuscript received September 23, 2015; final manuscript received December 28, 2015; published online April 19, 2016. Assoc. Editor: Hugh W. Coleman.

J. Verif. Valid. Uncert 1(2), 021005 (Apr 19, 2016) (13 pages) Paper No: VVUQ-15-1043; doi: 10.1115/1.4032499 History: Received September 23, 2015; Revised December 28, 2015

Model validation for computational fluid dynamics (CFD), where experimental data and model outputs are compared, is a key tool for assessing model uncertainty. In this work, mixed convection was studied experimentally for the purpose of providing validation data for CFD models with a high level of completeness. Experiments were performed in a facility built specifically for validation with a vertical, flat, heated wall. Data were acquired for both buoyancy-aided and buoyancy-opposed turbulent flows. Measured boundary conditions (BCs) include as-built geometry, inflow mean and fluctuating velocity profiles, and inflow and wall temperatures. Additionally, room air temperature, pressure, and relative humidity were measured to provide fluid properties. Measured system responses inside the flow domain include mean and fluctuating velocity profiles, temperature profiles, wall heat flux, and wall shear stress. All of these data are described in detail and provided in tabulated format.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Oberkampf, W. L. , and Smith, B. L. , 2014, “ Assessment Criteria for Computational Fluid Dynamics Validation Benchmark Experiments,” AIAA Paper No. 2014-0205.
Harris, J. R. , Lance, B. W. , and Smith, B. L. , 2015, “ Experimental Validation Data for CFD of Forced Convection on a Vertical Flat Plate,” ASME J. Fluids Eng., 138(1), p. 011401. [CrossRef]
Oberkampf, W. L. , and Roy, C. J. , 2010, Verification and Validation in Scientific Computing, Cambridge University Press, New York.
ASME, 2009, ASME V&V 20-2009: Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer, American Society of Mechanical Engineers, New York.
Roache, P. J. , 2009, Fundamentals of Verification and Validation, Hermosa Publication, Socorro, NM.
AIAA, 1998, “ Guide for the Verification and Validation of Computational Fluid Dynamics Simulations,” AIAA Paper No. G-077-1998.
Kays, W. M. , Crawford, M. E. , and Weigand, B. , 2012, Convective Heat and Mass Transfer, McGraw-Hill, Boston, MA.
Incropera, F. P. , Dewitt, D. P. , Bergman, T. L. , and Lavine, A. S. , 2007, Fundamentals of Heat and Mass Transfer, 6th ed., Wiley, Hoboken, NJ.
Jackson, J. D. , Cotton, M. A. , and Axcell, B. P. , 1989, “ Studies of Mixed Convection in Vertical Tubes,” Int. J. Heat Fluid Flow, 10(1), pp. 2–15. [CrossRef]
Chen, T. S. , Armaly, B. F. , and Ramachandran, N. , 1986, “ Correlations for Laminar Mixed Convection Flows on Vertical, Inclined, and Horizontal Flat Plates,” ASME J. Heat Transfer, 108(4), p. 835. [CrossRef]
Ramachandran, N. , Armaly, B. F. , and Chen, T. S. , 1985, “ Measurements and Predictions of Laminar Mixed Convection Flow Adjacent to a Vertical Surface,” ASME J. Heat Transfer, 107(3), p. 636. [CrossRef]
Kim, W. S. , Jackson, J. D. , He, S. , and Li, J. , 2004, “ Performance of a Variety of Low Reynolds Number Turbulence Models Applied to Mixed Convection Heat Transfer to Air Flowing Upwards in a Vertical Tube,” Proc. Inst. Mech. Eng., Part C, 218(11), pp. 1361–1372. [CrossRef]
Wang, J. , Li, J. , and Jackson, J. , 2004, “ A Study of the Influence of Buoyancy on Turbulent Flow in a Vertical Plane Passage,” Int. J. Heat Fluid Flow, 25(3), pp. 420–430. [CrossRef]
Kähler, C. J. , Sammler, B. , and Kompenhans, J. , 2002, “ Generation and Control of Tracer Particles for Optical Flow Investigations in Air,” Experiments in Fluids, 33(6), pp. 736–742. [CrossRef]
Touloukian, Y. S. , and Ho, C. Y. , 1977, Thermophysical Properties of Selected Aerospace Materials Part II: Thermophysical Properties of Seven Materials, Purdue University, West Lafayette, IN.
Warner, S. O. , and Smith, B. L. , 2014, “ Autocorrelation-Based Estimate of Particle Image Density for Diffraction Limited Particle Images,” Meas. Sci. Technol., 25(6), p. 065201. [CrossRef]
Blackwell, B. F. , Kays, W. M. , and Moffat, R. J. , 1972, “ The Turbulent Boundary Layer on a Porous Plate: An Experimental Study on the Heat Transfer Behavior With Adverse Pressure Gradients,” Stanford University, Stanford, CA, Technical Report No. HMT-16.
Coleman, H. W. , and Steele, W. G. , 2009, Experimentation, Validation, and Uncertainty Analysis for Engineers, Wiley, Hoboken, NJ.
Timmins, B. H. , Wilson, B. W. , Smith, B. L. , and Vlachos, P. P. , 2012, “ A Method for Automatic Estimation of Instantaneous Local Uncertainty in Particle Image Velocimetry Measurements,” Exp. Fluids, 53(4), pp. 1133–1147. [CrossRef]
Wilson, B. M. , and Smith, B. L. , 2013, “ Taylor-Series and Monte-Carlo-Method Uncertainty Estimation of the Width of a Probability Distribution Based on Varying Bias and Random Error,” Meas. Sci. Technol., 24(3), p. 035301. [CrossRef]
Kendall, A. , and Koochesfahani, M. , 2007, “ A Method for Estimating Wall Friction in Turbulent Wall-Bounded Flows,” Exp. Fluids, 44(5), pp. 773–780. [CrossRef]
Bevington, P. R. , and Robinson, D. K. , 2003, Data Reduction and Error Analysis, McGraw–Hill, New York.

Figures

Grahic Jump Location
Fig. 1

The Validation Hierarchy, after Ref. [6]

Grahic Jump Location
Fig. 2

SRQ difficulty spectrum, after Ref. [3]. The variables y and x here are arbitrary.

Grahic Jump Location
Fig. 3

RoBuT flow components in the buoyancy-aided orientation

Grahic Jump Location
Fig. 4

Heated wall cross section with component names as in Table 3. The relative thicknesses are to scale.

Grahic Jump Location
Fig. 5

Particle images at x2: (a) buoyancy-aided with heated wall at left and (b) buoyancy-opposed with heated wall at right

Grahic Jump Location
Fig. 6

TC probe with its reflection in the heated wall on the right

Grahic Jump Location
Fig. 10

Normalized streamwise mean velocity u¯ and Reynolds normal stress u′u′¯ at three locations in x for the buoyancy-opposed case

Grahic Jump Location
Fig. 9

Normalized streamwise mean velocity u¯ and Reynolds normal stress u′u′¯ at three locations in x for the buoyancy-aided case

Grahic Jump Location
Fig. 8

Measured streamwise velocity u¯ at the inlet for the buoyancy-opposed case

Grahic Jump Location
Fig. 7

Measured temperatures on the test section boundaries

Grahic Jump Location
Fig. 11

Measured streamwise mean velocity u¯ with buoyancy-aided (Aid) and buoyancy-opposed (Opp) at three locations in x

Grahic Jump Location
Fig. 12

Measured streamwise Reynolds normal stress u′u′¯ with buoyancy-aided (Aid) and buoyancy-opposed (Opp) at three locations in x

Grahic Jump Location
Fig. 13

Measured temperature profiles for all three x locations for the buoyancy-opposed case

Grahic Jump Location
Fig. 14

Measured temperature profiles near the heated wall with line fit for all three x locations for the buoyancy-opposed case. Note the unique wall temperature values Ts as the wall is nearly isothermal. Ts at x1 is about 2 °C cooler than the other two.

Grahic Jump Location
Fig. 15

Measured wall heat flux plotted along streamwise direction x with correlations for mixed convection for the bouyancy-aided (Aid), buoyancy-opposed (Opp), and their difference (Opp-Aid). HFS results are labeled as HFS and correlation results as Corr.

Grahic Jump Location
Fig. 18

Mean streamwise velocity u¯ with several repeats at three locations in x for the opposed case

Grahic Jump Location
Fig. 19

Measured mean streamwise Reynolds stress u′u′¯ with several repeats at three locations in x for the aided case

Grahic Jump Location
Fig. 20

Measured mean streamwise Reynolds stress u′u′¯ with several repeats at three locations in x for the opposed case

Grahic Jump Location
Fig. 21

Scatter of instantaneous u′ and v′ at the y-location of largest u′u′¯ for the aided case at x2 showing tight grouping

Grahic Jump Location
Fig. 22

Scatter of instantaneous u′ and v′ at the y-location of largest u′u′¯ for the opposed case at x2 showing larger scatter

Grahic Jump Location
Fig. 16

Streamwise mean velocity u¯ near the heated wall with linear fit for shear stress measurement of the buoyancy-opposed case

Grahic Jump Location
Fig. 17

Mean streamwise velocity u¯ with several repeats at three locations in x for the aided case

Tables

Errata

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