An nD Model for a Cylindrical Diffusion-Advection Problem with an Orthogonal Force Component

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Details zur Publikation

Autor(en): Schäfer M, Wicke W, Rabenstein R, Schober R
Jahr der Veröffentlichung: 2018


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.


FAU-Autoren / FAU-Herausgeber

Rabenstein, Rudolf Prof. Dr.
Technische Fakultät
Schäfer, Maximilian
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Schober, Robert Prof. Dr.-Ing.
Lehrstuhl für Digitale Übertragung
Wicke, Wayan
Lehrstuhl für Digitale Übertragung


Zitierweisen

APA:
Schäfer, M., Wicke, W., Rabenstein, R., & Schober, R. (2018). An nD Model for a Cylindrical Diffusion-Advection Problem with an Orthogonal Force Component. 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 2018), Shanghai 2018.

BibTeX: 

Zuletzt aktualisiert 2018-13-09 um 12:41