TY - GEN
T1 - Two-dimensional motion of a viscoelastic membrane in an incompressible fluid
T2 - 1st Conference on Spring School Enzo Levi, 2014
AU - Domínguez-del Ángel, Y. N.
AU - Núñez-López, M.
AU - González-Santos, J. G.
AU - López-Villa, A.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - In this work we present the two-dimensional motion of a viscoelastic membrane immersed in incompressible inviscid and viscous fluids. The motion of the fluid is modelled by two-dimensional Navier-Stokes equations, and a constitutive equation is considered for the membrane which captures along with the fluid equations the essential features of the vibrations of the fluid. By using the Fourier transform, the linearized equations are reduced to a functional equation for membrane displacement which is solved analytically and the inverse transform is evaluated asymptotically. Results obtained show some of the basic known characteristics of cochlear mechanics.
AB - In this work we present the two-dimensional motion of a viscoelastic membrane immersed in incompressible inviscid and viscous fluids. The motion of the fluid is modelled by two-dimensional Navier-Stokes equations, and a constitutive equation is considered for the membrane which captures along with the fluid equations the essential features of the vibrations of the fluid. By using the Fourier transform, the linearized equations are reduced to a functional equation for membrane displacement which is solved analytically and the inverse transform is evaluated asymptotically. Results obtained show some of the basic known characteristics of cochlear mechanics.
UR - http://www.scopus.com/inward/record.url?scp=84978829267&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-27965-7_18
DO - 10.1007/978-3-319-27965-7_18
M3 - Contribución a la conferencia
AN - SCOPUS:84978829267
SN - 9783319279640
T3 - Environmental Science and Engineering (Subseries: Environmental Science)
SP - 229
EP - 252
BT - Recent Advances in Fluid Dynamics with Environmental Applications
A2 - Sigalotti, Leonardo Di G.
A2 - Medina, Abraham
A2 - López, Abel
A2 - Klapp, Jaime
A2 - Ruiz-Chavarría, Gerardo
PB - Kluwer Academic Publishers
Y2 - 12 May 2014 through 13 May 2014
ER -