An nD Model for a Cylindrical Diffusion-Advection Problem with an Orthogonal Force Component
Schäfer M, Wicke W, Rabenstein R, Schober R (2018)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2018
Event location: Shanghai
DOI: 10.1109/icdsp.2018.8631603
Abstract
This paper presents a physical and algorithmic model for a complex propagation problem in a long cylinder, resembling a blood vessel or a pipeline. Particles are diffusing in the cylinder driven by a plug flow, in addition the particles are attracted by an orthogonal force, e.g. due to magnetism or gravity. The dynamics of this propagation problem are modeled by multidimensional (nD) transfer functions. They are established by suitable functional transformations in a spatio-temporal frequency domain by exploiting eigenfunctions of partial differential operators. Nontrivial boundary conditions are incorporated by the design of a feedback loop. The result is a discrete-time semianalytical model for the particle concentration.
Authors with CRIS profile
Maximilian Schäfer
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Wayan Wicke
Lehrstuhl für Digitale Übertragung
Rudolf Rabenstein
Technische Fakultät
Robert Schober
Lehrstuhl für Digitale Übertragung
Related research project(s)
How to cite
APA:
Schäfer, M., Wicke, W., Rabenstein, R., & Schober, R. (2018). An nD Model for a Cylindrical Diffusion-Advection Problem with an Orthogonal Force Component. In Proceedings of the 23rd International Conference on Digital Signal Processing (DSP). Shanghai, CN.
MLA:
Schäfer, Maximilian, et al. "An nD Model for a Cylindrical Diffusion-Advection Problem with an Orthogonal Force Component." Proceedings of the 23rd International Conference on Digital Signal Processing (DSP), Shanghai 2018.
BibTeX: Download