Prof.
Marco Túllio Menna Barreto de Vilhena
Federal University of Rio Grande do Sul, Brazil
E-mail: vilhena@pq.cnpq.br, mtmbvilhena@gmail.com
Qualifications
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
Publications(selected)
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.