caa a22 4500 445811749 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0523-2 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0523-2 On the viscous dissipation modeling of thermal fluid flow in a porous medium [Elektronische Daten] [Amgad Salama, M. El-Amin, Ibrahim Abbas, Shuyu Sun] The problem of viscous dissipation and thermal dispersion in saturated porous medium is numerically investigated for the case of non-Darcy flow regime. The fluid is induced to flow upward by natural convection as a result of a semi-infinite vertical wall that is immersed in the porous medium and is kept at constant higher temperature. The boundary layer approximations were used to simplify the set of the governing, nonlinear partial differential equations, which were then non-dimensionalized and solved using the finite elements method. The results for the details of the governing parameters are presented and investigated. It is found that the irreversible process of transforming the kinetic energy of the moving fluid to heat energy via the viscosity of the moving fluid (i.e., viscous dissipation) resulted in insignificant generation of heat for the range of parameters considered in this study. On the other hand, thermal dispersion has shown to disperse heat energy normal to the wall more effectively compared with the normal diffusion mechanism. Springer-Verlag, 2011 Viscous dissipation nationallicence Porous medium nationallicence Natural convection nationallicence Finite element method nationallicence Non-Darcy nationallicence Salama Amgad King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut El-Amin M. King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut Abbas Ibrahim Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt aut Sun Shuyu King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1865-1876 0939-1533 81:12<1865 2011 81 419 https://doi.org/10.1007/s00419-011-0523-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0523-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Salama Amgad King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut NATIONALLICENCE 700 1- El-Amin M. King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut NATIONALLICENCE 700 1- Abbas Ibrahim Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt aut NATIONALLICENCE 700 1- Sun Shuyu King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1865-1876 0939-1533 81:12<1865 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer