×

Application of the DRBEM to model ablation characteristics of a thrust vector control vane. (English) Zbl 0973.76064

From the summary: A dual reciprocity boundary element method (DRBEM) is implemented to predict ablation in model thrust vector control vanes. A moving front algorithm is described. Numerical results for recession of quarter-scale and half-scale vanes compare well with experimental data.

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
Full Text: DOI

References:

[1] Özişik, N. M., Boundary value problems of heat conduction (1968), Dover Publications: Dover Publications New York
[2] Crank, J., Free and moving boundary problems. Free and moving boundary problems, Oxford Science Publications (1984), Clarendon Press: Clarendon Press Oxford · Zbl 0547.35001
[3] Alexiades, V.; Solomon, A., Mathematical modeling of melting and freezing processes (1993), Hemisphere: Hemisphere New York
[4] Kassab AJ (guest editor). Engineering analysis: special issue dedicated to Stefan and moving front problems, vol 16, no 2, 1995.; Kassab AJ (guest editor). Engineering analysis: special issue dedicated to Stefan and moving front problems, vol 16, no 2, 1995.
[5] Chuang, Y. K.; Selesky, J., On the use of Greens functions for solving melting and solidification problems, Int J Heat Mass Transfer, 14, 1285-1294 (1972)
[6] Chuang, Y. K.; Selesky, J., The use of Green’s functions for solving melting and solidification problems in the cylindrical coordinate system, Int J Heat Mass Transfer, 17, 945-953 (1973)
[7] Chuang, Y. K.; Ehrich, O., On the integral technique for spherical growth problems, Int J Heat Mass Transfer, 15, 1171-1174 (1972)
[8] Shaw, R. P., A boundary integral equation approach to the one-dimensional ablation problem, (Brebbia, C. A., Proceedings of the Fourth International Conference on Boundary Elements (1982), Springer: Springer Berlin), 173-182
[9] Heinlein, M.; Mukherjee, S.; Richmond, O., A boundary element method analysis of temperature fields and stresses during solidification, Acta Mechanica, 59, 59-81 (1986) · Zbl 0581.73048
[10] Wrobel, L. C., A boundary element solution to Stefan’s problem, (Brebbia, C. A., Proceedings of the Fifth International Conference on Boundary Elements (1983), Springer: Springer Berlin), 173-182 · Zbl 0541.73150
[11] Hromadka, T. V.; Guymond, Application of a boundary integral equation for prediction of freezing fronts in solids, CRST, 6, 115-121 (1982)
[12] O’Neill, Boundary integral equation solution of moving boundary phase change problems, Int J Num Methods Engng, 19, 1825-1850 (1983) · Zbl 0526.65086
[13] Zabaras, N.; Mukherjee, S., An analysis of solidification problems by the boundary element method, Int J Num Methods Engng, 24, 1879-1900 (1987) · Zbl 0632.65128
[14] Coleman, C. J., A boundary integral formulation of the Stefan problem, Appl Math Modelling, 10, 445-449 (1986) · Zbl 0605.73082
[15] Voller, V. R.; Swaminathan, C. R., General source-based method for solidification phase change, Num Heat Transfer, Part B, 19, 175-189 (1991)
[16] Choi, C. Y.; Hsieh, C. K.; Kassab, A. J., A boundary element solution for the Stefan problem, (Brebbia, C. A.; Ingber, M., Proceedings of the Seventh International Boundary Element Technology Conference, BETECH92 (1992)), 473-493
[17] DeLima-Silva, W.; Wrobel, L. C., A front-tracking BEM formulation for one-phase solidification/melting problems, Engng Anal, 16, 171-182 (1995)
[18] Li HJ, Kassab AJ. A coupled FVM/BEM solution to conjugate heat transfer in turbine blades. AIAA 94-1981. Presented at the AIAA/ASME 6th Joint Thermophysics Conference, 20-23 June 1994, Colorado Springs, Colorado.; Li HJ, Kassab AJ. A coupled FVM/BEM solution to conjugate heat transfer in turbine blades. AIAA 94-1981. Presented at the AIAA/ASME 6th Joint Thermophysics Conference, 20-23 June 1994, Colorado Springs, Colorado.
[19] Ye, R.; Kassab, A. J.; Li, H. J., FVM/BEM approach for the solution of nonlinear conjugate heat transfer problems, (Kassab, A. J.; Brebbia, C. A.; Chopra, M. B., Proceedings of BEM 20, the 20th International Conference on Boundary Elements, Orlando, FL (1998)), 679-689 · Zbl 0923.76136
[20] Hseih T, Priolo FJ. Generation of the starting plane flowfield for supersonic flow over a spherical capped body. Naval Surface Weapons Center, MD. NSWC TR84-484, 9 May 1985.; Hseih T, Priolo FJ. Generation of the starting plane flowfield for supersonic flow over a spherical capped body. Naval Surface Weapons Center, MD. NSWC TR84-484, 9 May 1985.
[21] Van Dreist, E. R., The problem of aerodynamic heating, Aeronautical Engng Rev, 26-41 (1956)
[22] Partridge, P. W.; Brebbia, C. A.; Wrobel, L. C., The dual reciprocity boundary element method (1992), Computational Mechanics Publications: Computational Mechanics Publications Southampton · Zbl 0758.65071
[23] Powell, M. J.D., The theory of radial basis function approximation, (Light, W., Advances in numerical analysis, vol II (1992), Oxford Science Publications: Oxford Science Publications Oxford) · Zbl 0787.65005
[24] Cavalleri RJ, Divo E, Kassab AJ, Boundary element method thermal and ablation analysis of thrust vector vanes. 22nd Annual Conference on Composite Materials and Structures, Organized by \(CMC^3\); Cavalleri RJ, Divo E, Kassab AJ, Boundary element method thermal and ablation analysis of thrust vector vanes. 22nd Annual Conference on Composite Materials and Structures, Organized by \(CMC^3\)
[25] Özişik, N. M., Heat conduction (1993), Wiley: Wiley New York
[26] MacCarthy JG. Application of ultra-high temperature materials for TVC jet vane applications. MS Thesis, University of Central Florida, 1998.; MacCarthy JG. Application of ultra-high temperature materials for TVC jet vane applications. MS Thesis, University of Central Florida, 1998.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.