ArticleApplied mathematical modelling2023
Stationary flow driven by non-sinusoidal time-periodic pressure gradients in wavy-walled channels.
Article in Applied mathematical modelling, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- How brain pulsations drive solute transport in the cranial subarachnoid space: insights from a toy model.Journal of the Royal Society, Interface · 2026Article
- A 3D non-human primate digital model for pharmacokinetic prediction of intra-cerebrospinal fluid drug neuraxial dispersion.Fluids and barriers of the CNS · 2025Article
- On reduced-order modeling of drug dispersion in the spinal canal.Fluids and barriers of the CNS · 2025Article
- Effects of buoyancy on the dispersion of drugs released intrathecally in the spinal canal.Journal of fluid mechanics · 2024Article
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Authors and funding
4 authors.
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Abstract
The classical problem of secondary flow driven by a sinusoidally varying pressure gradient is extended here to address periodic pressure gradients of complex waveform, which are present in many oscillatory physiological flows. A slender two-dimensional wavy-walled channel is selected as a canonical model problem. Following standard steady-streaming analyses, valid for small values of the ratio
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