TY - JOUR
T1 - Solvability of the Brinkman-Forchheimer-Darcy Equation
AU - Skrzypacz, Piotr
AU - Wei, Dongming
N1 - Publisher Copyright:
© 2017 Piotr Skrzypacz and Dongming Wei.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy's range.
AB - The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy's range.
UR - https://www.scopus.com/pages/publications/85027150057
UR - https://www.scopus.com/pages/publications/85027150057#tab=citedBy
U2 - 10.1155/2017/7305230
DO - 10.1155/2017/7305230
M3 - Article
AN - SCOPUS:85027150057
SN - 1110-757X
VL - 2017
JO - Journal of Applied Mathematics
JF - Journal of Applied Mathematics
M1 - 7305230
ER -