1.6.5 Two-dimensional elemental cavity radiation viewfactor calculations

Product: ABAQUS/Standard  

Relatively simple configurations were selected for these verification problems to ensure that analytical solutions or tabulated results could be found. In some cases certain parameters such as the distance between two surfaces or the number of elements on a surface were varied to illustrate the effects of these parameters on viewfactor calculations within ABAQUS. To duplicate the tabulated results for the cases where parameters were varied, the user can modify the input files provided with the ABAQUS release.

Two infinitely long, directly opposed parallel plates of the same finite width

Problem description

Analytical solution

where .

Results and discussion

F
ABAQUSAnalytical
0.23610.2361

Input file

xrvd24n1.inp

One DC2D4 element is used to discretize each surface of the cavity.

Reference

  • Howell,  J. R., A Catalog of Radiation Configuration Factors, McGraw-Hill Book Company, New York, 1982.

  • Two infinitely long parallel plates of different widths; the centerlines of each plate are connected by the perpendicular between the plates

    Problem description

    Analytical solution

    where and .

    Results and discussion

    F
    ABAQUSAnalytical
    0.43370.4337

    Input file

    xrvd24n2.inp

    One DC2D4 element is used to discretize each surface of the cavity.

    Reference

  • Howell,  J. R., A Catalog of Radiation Configuration Factors, McGraw-Hill Book Company, New York, 1982.

  • Two infinitely long plates of unequal widths h and w, having one common edge and at an angle of 90° to each other

    Problem description

    Analytical solution

    where .

    Results and discussion

    F
    ABAQUSAnalytical
    0.22290.2229

    Input file

    xrvd24n3.inp

    One DC2D4 element is used to discretize each surface of the cavity.

    Reference

  • Siegel,  R., and J. R. Howell, Thermal Radiation Heat Transfer, Hemisphere Publishing Corporation, Washington, 3rd, 1992.

  • Two infinitely long plates of equal finite width w, having one common edge and having an included angle of α to each other

    Problem description

    Analytical solution

    Results and discussion

    In xrvd24n4.inp can be varied to obtain the following results (in xrvd24m4.inp the angle is varied with the *MOTION, ROTATION option):

    F
    ABAQUSAnalytical
    10°0.91280.9128
    20°0.82640.8264
    30°0.74120.7412
    40°0.65800.6580
    50°0.57740.5774
    60°0.50000.5000
    70°0.42640.4264
    80°0.35720.3572
    90°0.29290.2929

    Input files

    xrvd24n4.inp

    One DC2D4 element is used to discretize each surface of the cavity; 60°.

    xrvd24m4.inp

    One DC2D4 element is used to discretize each surface of the cavity; the *MOTION, ROTATION option is used to vary the angle between the plates.

    Reference

  • Siegel,  R., and J. R. Howell, Thermal Radiation Heat Transfer, Hemisphere Publishing Corporation, Washington, 3rd, 1992.