TY - JOUR

T1 - A local collocation method with radial basis functions for an electrospinning problem

AU - Florez, W. F.

AU - Popov, V.

AU - Gaviria-Cardona, J. P.

AU - Bustamante, C. A.

AU - Martínez-Tejada, H. V.

AU - Garcia-Tamayo, E.

N1 - Publisher Copyright:
© 2021 Elsevier Ltd

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Electrospinning is a technique used to fabricate fibrillar materials for different applications. Understanding this process allows companies to reduce efforts and to have better control of the variables present in this phenomenon. A mathematical model is described in this article for Newtonian, Giesekus, FENE-P, and Oldroyd-B approaches. This was done by using radial basis functions through a localized collocation method that has not been used before to solve this kind of problems. The solutions of the viscoelastic and electric behavior were compared with a Python solver and with a previously obtained solution by other researchers. The rheological models, showed that they can be applied according to the size of fluid polymer chains. Thus, the Giesekus model rheologically describes more accurately fluids with small polymer chains, the FENE-P model describes larger polymer chains with low extensibility, and Oldroyd-B model describes same particles as FENE-P but with infinite extensibility. An interesting case of coil-stretching was obtained using the FENE-P model where the fluid becomes Newtonian while the relaxation time increases. In conclusion, The results show that by decreasing the tensile force in the jet, thinner fibers can be obtained and this can be controlled experimentally by using polymers with low molecular weight.

AB - Electrospinning is a technique used to fabricate fibrillar materials for different applications. Understanding this process allows companies to reduce efforts and to have better control of the variables present in this phenomenon. A mathematical model is described in this article for Newtonian, Giesekus, FENE-P, and Oldroyd-B approaches. This was done by using radial basis functions through a localized collocation method that has not been used before to solve this kind of problems. The solutions of the viscoelastic and electric behavior were compared with a Python solver and with a previously obtained solution by other researchers. The rheological models, showed that they can be applied according to the size of fluid polymer chains. Thus, the Giesekus model rheologically describes more accurately fluids with small polymer chains, the FENE-P model describes larger polymer chains with low extensibility, and Oldroyd-B model describes same particles as FENE-P but with infinite extensibility. An interesting case of coil-stretching was obtained using the FENE-P model where the fluid becomes Newtonian while the relaxation time increases. In conclusion, The results show that by decreasing the tensile force in the jet, thinner fibers can be obtained and this can be controlled experimentally by using polymers with low molecular weight.

KW - Electrospinning

KW - RBF method

KW - Rheology

UR - http://www.scopus.com/inward/record.url?scp=85118572096&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2021.10.013

DO - 10.1016/j.enganabound.2021.10.013

M3 - Artículo

AN - SCOPUS:85118572096

SN - 0955-7997

VL - 134

SP - 398

EP - 411

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -