Prof. Marco Túllio Menna Barreto de Vilhena

Federal University of Rio Grande do Sul, Brazil



1985 Ph.D., Federal University of Rio Grande do Sul, Brazil, Mechanical Engineering

1979 M.Sc., Federal University of Rio Grande do Sul, Brazil, Mathematics

1973 B.Sc., Federal University of Rio Grande do Sul, Brazil, Civil Engineering


  1. RODRIGUES, Letícia Jenisch ; BOGADO LEITE, SÉRGIO Q. ; DE VILHENA, MARCO TULLIO . Dancoff factors with partial absorption in cluster geometry and their effects on unit cell multiplication. Progress in Nuclear Energy (New Series), v. 63, p. 66-70, 2013.
  2. DE AZEVEDO, F.S. ; SAUTER, E. ; THOMPSON, M. ; Vilhena, M.T. . Solution of the radiative heat transfer equation with internal energy sources in a slab by the Green's Functions Decomposition Method for anisotropic scattering. Progress in Nuclear Energy (New Series), v. 65, p. 64-69, 2013.
  3. SAUTER, ESEQUIA ; AZEVEDO, FABIO SOUTO ; THOMPSON, MARK ; DE VILHENA, MARCO TULLIO MENNA BARRETO . Solution of the one-dimensional transport equation by the vector Green function method: Error bounds and simulation. Applied Mathematics and Computation, v. 219, p. 11291-11301, 2013.
  4. SILVA, E. J. G. ; TIRABASSI, T. ; VILHENA, M. T. ; BUSKE, D. . A puff model using a three-dimensional analytical solution for the pollutant diffusion process. Atmospheric Research (Print), v. 134, p. 131-136, 2013.
  5. FERNANDES, J.C.L. ; Vilhena, M.T. ; Bodmann, B.E.J. . On a comparative analysis of the solutions of the kinetic neutron diffusion equation by the Hankel transform formalism and the spectral method. Progress in Nuclear Energy (New Series), v. 69, p. 71-76, 2013.
  6. VILHENA, M. T. ; BUSKE, D. ; DEGRAZIA, G. A. ; QUADROS, R. S. . An analytical model with temporal variable eddy diffusivity applied to contaminant dispersion in the atmospheric boundary layer. Physica. A (Print), v. 391, p. 2576-2584, 2012.
  7. ALVES, I.P. ; DEGRAZIA, G.A. ; BUSKE, D. ; Vilhena, M.T. ; MORAES, O.L.L. ; ACEVEDO, O.C. . Derivation of an eddy diffusivity coefficient depending on source distance for a shear dominated planetary boundary layer. Physica. A (Print), v. 391, p. 6577-6586, 2012.
  8. AZEVEDO, F. S. ; SAUTER, E. ; THOMPSON, M. ; VILHENA, M. T. . Existence theory and simulations for one-dimensional radiative flows. Annals of Nuclear Energy, v. 38, p. 1115-1124, 2011.
  9. MOREIRA, D. M. ; VILHENA, M. T. ; TIRABASSI, T. ; BUSKE, D. ; COSTA, C. P. . Comparison between analytical models to simulate pollutant dispersion in the atmosphere. International Journal of Environment and Waste Management (Print), v. 9, p. 327-344, 2010.
  10. MOREIRA, D. M. ; TIRABASSI, T. ; VILHENA, M. T. ; GOULART, A. G. . A Multi-Layer Model For Pollutant Dispersion With Dry Deposition To The Ground. Atmospheric Environment, v. 44, p. 1859-1865-10, 2010.
  11. SEGATTO, C. F. ; VILHENA, M. T. ; GONÇALEZ, T. T. . An Analytical Solution for the One-Dimensional Time-Dependent Sn Transport Equation for Bounded and Unbounded Domains in Cartesian Geometry. Kerntechnik, v. 75, p. 53-57, 2010.
  12. GONÇALVES, G. A. ; VILHENA, M. T. ; Bodmann, B E J . Heuristic Geometric " eigenvalue universaly" in a one-dimensional neutron transport problem with anisotropic scattering. Kerntechnik, v. 75, p. 50-52, 2010.
  13. Segatto, C.F. ; Vargas, R.M.F. ; Vilhena, M.T. ; Bodmann, B.E.J. . A solution for the non-linear SN radiative conductive problem in a grey plane-parallel participating medium.International Journal of Thermal Sciences, v. 49, p. 1493-1499, 2010.
  14. Cardona, Augusto V. ; Vilhena, Marco T. ; Bodmann, Bardo E. J. ; Segatto, Cynthia F. . An improvement of the double discrete ordinate approximation solution by Laplace technique for radiative-transfer problems without azimuthal symmetry and high degree of anisotropy. Journal of Engineering Mathematics, v. 67, p. 193-204, 2010.