TY - GEN
T1 - Lattice Boltzmann simulations of slip flow of non-Newtonian fluids in microchannels
AU - Agarwal, Ramesh K.
AU - Chusak, Lee
PY - 2011
Y1 - 2011
N2 - This paper considers the application of Lattice Boltzmann Method (LBM) to non-Newtonian flow in micro-fluidic devices. To set ideas, we first consider the pressure driven gaseous slip flow with small rarefaction through a long micro-channel and formulate the problem in LB framework. The non-Newtonian fluids are characterized by the non-linear stress-strain constitutive models formulated by Casson, Carreau & Yasuda, Herschel, and Cross, and the well known power law model. The formulation of the LBM for slip flow of non-Newtonian flow is presented. For planar constant area micro-channel for power law fluid, it is possible to obtain an analytical solution for both no-slip and slip flow. For other non-Newtonian fluid models, LBM results are compared with the numerical solutions obtained by using the commercial software FLUENT. The LBM results agree well with the analytical solutions and the numerical solutions. Small differences in the results are noticed using the different models characterizing the non-Newtonian flow.
AB - This paper considers the application of Lattice Boltzmann Method (LBM) to non-Newtonian flow in micro-fluidic devices. To set ideas, we first consider the pressure driven gaseous slip flow with small rarefaction through a long micro-channel and formulate the problem in LB framework. The non-Newtonian fluids are characterized by the non-linear stress-strain constitutive models formulated by Casson, Carreau & Yasuda, Herschel, and Cross, and the well known power law model. The formulation of the LBM for slip flow of non-Newtonian flow is presented. For planar constant area micro-channel for power law fluid, it is possible to obtain an analytical solution for both no-slip and slip flow. For other non-Newtonian fluid models, LBM results are compared with the numerical solutions obtained by using the commercial software FLUENT. The LBM results agree well with the analytical solutions and the numerical solutions. Small differences in the results are noticed using the different models characterizing the non-Newtonian flow.
KW - Lattice Boltzmann Method
KW - Non-Newtonian Fluid Flows
UR - http://www.scopus.com/inward/record.url?scp=78651596088&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-14438-7_26
DO - 10.1007/978-3-642-14438-7_26
M3 - Conference contribution
AN - SCOPUS:78651596088
SN - 9783642144370
T3 - Lecture Notes in Computational Science and Engineering
SP - 247
EP - 256
BT - Parallel Computational Fluid Dynamics 2008 - Parallel Numerical Methods, Software Development and Applications
T2 - 20th International Series of Meetings on Parallel Computational Fluid Dynamics, CFD 2008
Y2 - 19 May 2008 through 22 May 2008
ER -