A sweating model for the internal ventilation of a motorcycle helmet

Pinnoji P, Mahajan P. Impact analysis of helmets for improved ventilation with deformable head model. In: IRCOBI conference, Madrid, Spain; 2006. p. 159–70. Bogerd C. Physiological and cognitive effects of wearing a full-face motorcycle helmet, Ph.D. thesis, ETH Zurich, Zurich, Switzerland; 2009. Cimolin F. Analysis of the internal ventilation for a motorcycle helmet, Ph.D. thesis, Politecnico di Torino, Italy; 2010. Discacciati M. Domain decomposition methods for the coupling of surface and groundwater flows, Ph.D. thesis, Ecole Polytechnique Fédérale de Lausanne, Switzerland; 2004. Discacciati, 2009, Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation, Rev Mat Complut, 22, 315, 10.5209/rev_REMA.2009.v22.n2.16263 Bruneau, 2008, Numerical modelling and passive flow control using porous media, Comput Fluids, 37, 488, 10.1016/j.compfluid.2007.07.001 Cimolin F, Discacciati. Navier-Stokes/Forchheimer models for filtration through porous media, Tech. Rep. 5, Dipartimento di Matematica, Politecnico di Torino; 2010. Thorvaldsson, 1999, A model for simultaneous heat, water and vapour diffusion, J Food Eng, 40, 167, 10.1016/S0260-8774(99)00052-7 Huang, 2007, Moisture transport and diffusive instability during bread baking, SIAM J Appl Math, 68, 222, 10.1137/060653329 Zhou, 2005, Application of FDM and FEM in solving the simultaneous heat and moisture transfer inside bread during baking, Int J Comput Fluid Dyn, 19, 73, 10.1080/10618560412331286337 Huang, 2008, Moisture transport in fibrous clothing assemblies, J Eng Math, 61, 35, 10.1007/s10665-007-9201-3 Ye, 2008, Numerical study of heat and moisture transfer in textile materials by a finite volume method, Commun Comput Phys, 4, 929 Laws N, Parry J. Mathematical modelling of heat and mass transfer in agricultural grain drying. In: Proceeding of the royal society of London, vol. 385; 1983. p. 169–87. Smith, 2004, Air traverse time in grain bins, Appl Math Model, 28, 1047, 10.1016/j.apm.2004.03.006 IV, 2003 Nield, 1998 Boltz, 1976 Jones, 1991 Olivieri J, Geshwiler M, Singh T, Lovodocky S. Psychrometrics: theory and practice, American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., 1996. Smoller, 1994 Showalter, 1997 Brézis, 1972, Problèmes unilatéraux, J Math Pures Appl, 51, 1 Ekeland, 1999 Rossi, 2006, Gradient flows of non convex functionals in hilbert spaces and applications, ESAIM: Control, Opt Calc Variat, 12, 564, 10.1051/cocv:2006013 Díaz, 2009, Branches of positive and free boundary solutions for some singular quasilinear elliptic problems, J Math Anal Appl, 352, 449, 10.1016/j.jmaa.2008.07.073 Brézis H. Solutions à support compact d’inéquations variationnelles. Collège de France; 1974. Nochetto, 2000, A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations, Commun Pure Appl Math, 53, 525, 10.1002/(SICI)1097-0312(200005)53:5<525::AID-CPA1>3.0.CO;2-M Hecht F, Pironneau O, Le Hyaric A, Ohtsuka K. FreeFEM++ Manual, 2nd ed.; 2008.