0
Research Papers: Techniques and Procedures

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

[+] Author and Article Information
Jeff R. Harris

Department of Mechanical and
Aerospace Engineering,
Utah State University,
Logan, UT 84322
e-mail: jeff.harr@aggiemail.usu.edu

Blake W. Lance

Department of Mechanical and
Aerospace Engineering,
Utah State University,
Logan, UT 84322
e-mail: b.lance@aggiemail.usu.edu

Barton L. Smith

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

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 15, 2014; final manuscript received July 4, 2015; published online August 10, 2015. Editor: Malcolm J. Andrews.

J. Fluids Eng 138(1), 011401 (Aug 10, 2015) (14 pages) Paper No: FE-14-1201; doi: 10.1115/1.4031007 History: Received April 15, 2014

A computational fluid dynamics (CFD) validation dataset for turbulent forced convection on a vertical plate is presented. The design of the apparatus is based on recent validation literature and provides a means to simultaneously measure boundary conditions (BCs) and system response quantities (SRQs). All important inflow quantities for Reynolds-Averaged Navier-Stokes (RANS). CFD are also measured. Data are acquired at two heating conditions and cover the range 40,000 < Rex < 300,000, 357 <  Reδ2 < 813, and 0.02 < Gr/Re2 < 0.232.

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

References

Oberkampf, W. , and Smith, B. , 2014, “Assessment Criteria for Computational Fluid Dynamics Validation Benchmark Experiments,” AIAA SciTech Conference, AIAA,
CFD-Online, 2013, “Validation Cases Links References,” http://www.cfd-online.com/Links/refs.html
NPARC Alliance, 2013, “Turbulent Flat Plate,” http://www.grc.nasa.gov/WWW/wind/valid/fpturb/fpturb.html
ERCoFTC, 2013, “Classic Collection Database,” http://cfd.mace.manchester.ac.uk/ercoftac/classif.html
Experimental Fluid Dynamics Laboratory, 2014, “Buoyancy Aided Forced Convection Database,” http://efdl.neng.usu.edu/ValidationPages/FC_Validation/Main.html
Oberkampf, W. L. , and Roy, C. J. , 2010, Verification and Validation in Scientific Computing, Cambridge University Press, New York.
Oberkampf, W. L. , Sindir, M. , and Conlisk, A. , 1998, Guide for the Verification and Validation of Computational Fluid Dynamics Simulations, American Institute of Aeronautics and Astronautics, Reston, VA.
ASME, 2009, “Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer,” ASME Standard V&V 20-2009, New York.
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]
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).
Wilson, B. M. , and Smith, B. L. , 2013, “Uncertainty on PIV Mean and Fluctuating Velocity Due to Bias and Random Errors,” Meas. Sci. Technol., 24(3), p. 035302. [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]
Coleman, H. W. , and Steele, W. G. , 2009, Experimentation, Validation, and Uncertainty Analysis for Engineers, 3rd ed., Wiley, Hoboken, NJ.
Kays, W. M. , Crawford, M. E. , and Weigand, B. , 2004, Convective Heat and Mass Transfer, 4th ed., McGraw-Hill, New York.
Lloyd, J. , and Sparrow, E. , 1970, “Combined Forced and Free Convection Flow on Vertical Surfaces,” Int. J. Heat Mass Transfer, 13(2), pp. 434–438. [CrossRef]
Gryzagoridis, J. , 1975, “Combined Free and Forced Convection From an Isothermal Vertical Plate,” Int. J. Heat Mass Transfer, 18(7), pp. 911–916. [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]
Hattori, Y. , Tsuji, T. , Nagano, Y. , and Tanaka, N. , 2001, “Effects of Freestream on Turbulent Combined-Convection Boundary Layer Along a Vertical Heated Plate,” Int. J. Heat Fluid Flow, 22(3), pp. 315–322. [CrossRef]
Howell, J. R. , Siegel, R. , and Mengüç, M. P. , 2011, Thermal Radiation Heat Transfer, CRC Press, Boca Raton.
Karri, S. , Charonko, J. J. , and Vlachos, P. P. , 2009, “Robust Wall Gradient Estimation Using Radial Basis Functions and Proper Orthogonal Decomposition (POD) for Particle Image Velocimetry (PIV) Measured Fields,” Meas. Sci. Technol., 20(4), p. 045401. [CrossRef]
Harris, J. , 2014, “A CFD Validation Experiment for Forced and Mixed Convection on a Vertical Heated Plate,” Ph.D. thesis, Utah State University, Logan, UT.
LaVision, “DaVis® Version 8.1,” Goettingen, Germany, http://www.lavision.de/en/techniques/piv.php
Velmex, Inc., “Linear Motor-Driven Bi- and UniSlide Assemblies,” http://www.velmex.com/index.asp
Kähler, C. , 2003, “General Design and Operating Rules for Seeding Atomisers,” 5th International Symposium on Particle Image Velocimetry.
Weast, R. C. , Astle, M. J. , and Beyer, W. H. , 1988, CRC Handbook of Chemistry and Physics, Vol. 69, CRC Press, Boca Raton.
Kendall, A. , and Koochesfahani, M. , 2008, “A Method for Estimating Wall Friction in Turbulent Wall-Bounded Flows,” Exp. Fluids, 44(5), pp. 773–780. [CrossRef]
Incropera, F. P. , and DeWitt, D. P. , 2002, Introduction to Heat and Mass Transfer, 5th ed., Wiley, New York.
Oberkampf, W. L. , and Trucano, T. G. , 2002, “Verification and Validation in Computational Fluid Dynamics,” Prog. Aerosp. Sci., 38(3), pp. 209–272. [CrossRef]
Schlichting, H. , 1968, Boundary-Layer Theory, McGraw-Hill, New York.
Versteeg, H. K. , and Malalaskekera, W. , 2007, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Prentice Hall, New York.
Wilcox, D. , 2010, Turbulence Modeling for CFD, 3rd ed., Vol. 93, DCW Industries, La Cañada, CA.
Huebscher, R. G. , 1948, “Friction Equivalents for Round, Square and Rectangular Ducts,” ASHVE Trans. (ASHRAE Trans.), 54, pp. 101–144.

Figures

Grahic Jump Location
Fig. 1

The difficulty spectrum of SRQs, after Ref. [6]

Grahic Jump Location
Fig. 2

The validation hierarchy with cross-hatch showing the amount of detail in each level, after Ref. [6]

Grahic Jump Location
Fig. 3

A velocity profile for the inlet of the test section is shown, along with uniform and parabolic profiles. The Reynolds stress is also plotted along with a line of 10% of the time-mean streamwise velocity.

Grahic Jump Location
Fig. 4

A schematic of the wind tunnel showing the inlet contraction, test section, and the coordinate system

Grahic Jump Location
Fig. 5

Cross section of the heated wall

Grahic Jump Location
Fig. 6

The orientation of the camera and laser for PIV inflow data acquisition (x = 0). The laser and camera are traversed across the test section to obtain nine planes of velocity data. The flow direction is out of the page. (a) shows the nominal setup that is also used to obtain the velocity over the heat flux sensors and is referred to as orientation A. (b) shows the inlet profile specific orientation to obtain the w component of velocity and is orientation B.

Grahic Jump Location
Fig. 7

The centerline inlet profiles for A and B orientations. The A orientation profiles are at z = 0. The points for the B orientation are data at the z = 0 intersections of profiles in the x–z plane. The uncertainty of the B orientation data is within the size of the symbols.

Grahic Jump Location
Fig. 8

A time-averaged streamwise velocity contour plot of the PIV measurements at the inlet of the test section, x = 0. This velocity field was formed by plotting nine vertical (constant z) profiles of velocity.

Grahic Jump Location
Fig. 9

A schematic showing the locations of heaters and heat flux sensors. Each of the three power supplies powers two heaters.

Grahic Jump Location
Fig. 10

An image of the wall, with the image width being 2.25 mm

Grahic Jump Location
Fig. 11

The error of the wall location relative to the wall image using two methods. The scale factor is approximately 84 pixels/mm.

Grahic Jump Location
Fig. 12

The measured heat flux and two correlations with the Kays trend found from Eq. (12) and the Incropera from Eq. (13) for the buoyancy-aided case

Grahic Jump Location
Fig. 13

The nondimensional boundary layer time-mean streamwise velocity and Reynolds normal stress for the flow over the three heat flux sensor positions with u¯∞=4.49 m/s for the buoyancy-aided case

Grahic Jump Location
Fig. 14

The wall coordinate profiles at each heat flux sensor position using the variable κ and B for the buoyancy-aided case

Grahic Jump Location
Fig. 15

The measured heat flux and two correlations with the Kays trend found from Eq. (12) and the Incropera trend from Eq. (13) for the buoyancy-opposed case

Grahic Jump Location
Fig. 16

The nondimensional boundary layer time-mean streamwise velocity and Reynolds normal stress for the flow over the three heat flux sensor positions with u¯∞=4.56 m/s for the buoyancy-opposed case

Grahic Jump Location
Fig. 17

The boundary layer streamwise velocity profiles for the flow over the three positions for three repeats of the isothermal measurement

Grahic Jump Location
Fig. 18

The boundary layer streamwise velocity residuals for the flow over the three positions for three repeats of the isothermal measurement

Grahic Jump Location
Fig. 19

The boundary layer streamwise velocity Reynolds normal stress residuals for the flow over the three positions for three repeats of the isothermal measurement

Grahic Jump Location
Fig. 20

The boundary layer velocity comparison for the isothermal forced convection buoyancy aided and opposed cases. The relative difference between the cases is also plotted as δu¯F,G.

Grahic Jump Location
Fig. 21

A plot of the Nusselt number ratio versus the special buoyancy parameter for the data in this study and the data presented in Ref. [17]

Grahic Jump Location
Fig. 22

A comparison of the classic shape factor with the expected trend as a function of the second shape factor η (see Eq. (18))

Grahic Jump Location
Fig. 23

The boundary layer velocity profiles for an unheated and heated low Reynolds number flow

Grahic Jump Location
Fig. 24

The streamwise velocity at the first heat flux sensor position for several inlet ε treatments

Tables

Errata

Discussions

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