Wave dispersion in viscoelastic lipid nanotubes conveying viscous protein solution
Department of Mechanics, Northeastern University, Shenyang, 110819, China
2 Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, 110819, China
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Accepted: 17 October 2019
Published online: 7 January 2020
This work investigates the wave dispersion characteristics in viscoelastic lipid nanotubes conveying protein solution. The protein solution is assumed to be viscous, incompressible, and irrotational. The theoretical formulation is within the framework of the Rayleigh beam theory and the nonlocal strain gradient theory (NSGT). The analytical wave dispersion relations of protein-conveying lipid nanotubes are obtained. Results show that the nonlocal parameter, the material length-scale parameter, the fluid mass density, and the damping coefficient have important effect on wave dispersion characteristics of viscoelastic lipid nanotubes conveying protein solution. These findings are helpful to understand the wave dispersion characteristics of protein-conveying lipid nanotubes.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020