Numerical algorithm for nonlinear flow response of soft brush beds based on the homotopy method

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(1)

Published: Jan. 1, 2025

Fuzzy flexible fibers attached to biological surfaces can reduce drag and influence fluid flow by altering their shape, an intriguing phenomenon that has garnered increasing attention. The complexity of fluid–structure interaction problems leads highly nonlinear equations describe this issue. Existing analytical solutions, such as perturbation methods series expansion techniques, still do not perfectly align with experimental observations. To address problem, study explores numerical approaches. By introducing the method homotopy transformation, we first tackle convergence difficulties associated classical Newton–Raphson iterative due a priori selection initial values. Second, results indicate proposed aligns across all velocity distributions, confirming previous conjectures regarding −1/2 scaling rate at higher velocities. developed algorithm is compared shooting provided MAPLE software, demonstrating superior computational existing methods. Finally, further investigate deformation elastic under very large loads. exhibits excellent properties be utilized explore solutions for equations, particularly in problems, providing insights future scientific exploration engineering applications.

Language: Английский

Nonlinear flow response of flexible fibers driven by Stokes flow

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(2)

Published: Feb. 1, 2025

The fuzzy, flexible fibers attached to biological surfaces not only reduce drag but also undergo nonlinear deformation under shear flow, and the of these in turn affects fluid flow. This phenomenon is increasingly attracting attention. Due complexity fluid–structure interaction problems, existing analytical solutions such as perturbation methods, integral solutions, series expansions are still unable fully address this issue. To tackle problem, paper uses COMSOL finite element software for numerical calculations, effectively simulating between results show that method matches experimental data within a certain velocity range, extending scope previous studies confirming −1/2 scaling law at higher velocities. Furthermore, study explores bending elastic flow field different loads. provides new approach using simulations model fibers, along with visual analysis, which applicable similar problems can provide valuable insights future scientific research engineering applications.

Language: Английский