Shape optimization in steady blood flow: A numerical study of non-Newtonian effects Export

@article{citeulike:324881, abstract = {We investigate the influence of the fluid constitutive model on the outcome of shape optimization tasks, motivated by optimal design problems in biomedical engineering. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the modified Cross model employed to account for the shear-thinning behavior of blood. The generalized Newtonian treatment exhibits striking differences in the velocity field for smaller shear rates. We apply sensitivity-based optimization procedure to a flow through an idealized arterial graft. For this problem we study the influence of the inflow velocity, and thus the shear rate. Furthermore, we introduce an additional factor in the form of a geometric parameter, and study its effect on the optimal shape obtained.}, author = {Abraham, Feby and Behr, Marek and Heinkenschloss, Matthias}, citeulike-article-id = {324881}, citeulike-linkout-0 = {http://dx.doi.org/10.1080/10255840500180799}, citeulike-linkout-1 = {http://www.ingentaconnect.com/content/tandf/gcmb/2005/00000008/00000002/art00006}, doi = {10.1080/10255840500180799}, issn = {1025-5842}, journal = {Computer Methods in Biomechanics and Biomedical Engineering}, keywords = {flow, optimisation}, number = {2}, pages = {127--137}, posted-at = {2009-08-25 14:32:46}, priority = {2}, publisher = {Taylor \& Francis}, title = {Shape optimization in steady blood flow: A numerical study of non-Newtonian effects}, url = {http://dx.doi.org/10.1080/10255840500180799}, volume = {8}, year = {2005} }

TY - JOUR ID - citeulike:324881 L3 - citeulike-article-id:324881 N2 - We investigate the influence of the fluid constitutive model on the outcome of shape optimization tasks, motivated by optimal design problems in biomedical engineering. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the modified Cross model employed to account for the shear-thinning behavior of blood. The generalized Newtonian treatment exhibits striking differences in the velocity field for smaller shear rates. We apply sensitivity-based optimization procedure to a flow through an idealized arterial graft. For this problem we study the influence of the inflow velocity, and thus the shear rate. Furthermore, we introduce an additional factor in the form of a geometric parameter, and study its effect on the optimal shape obtained. IS - 2 JF - Computer Methods in Biomechanics and Biomedical Engineering SN - 1025-5842 EP - 137 TI - Shape optimization in steady blood flow: A numerical study of non-Newtonian effects PB - Taylor & Francis VL - 8 SP - 127 KW - flow KW - optimisation AU - Abraham, Feby AU - Behr, Marek AU - Heinkenschloss, Matthias PY - 2005/// UR - http://dx.doi.org/10.1080/10255840500180799 ER -