About the applicability of the theory of porous media for the modelling of non‐isothermal material injection into porous structures-Reference-Cited by-同舟云学术

About the applicability of the theory of porous media for the modelling of non‐isothermal material injection into porous structures

Published:2023-05 Issue:1 Volume:23 Page:
ISSN:1617-7061
Container-title:PAMM
language:en
Short-container-title:Proc Appl Math and Mech

Author:

Völter Jan-Sören L.¹,Ricken Tim²,Röhrle Oliver¹³

Affiliation:

1. Institute for Modelling and Simulation of Biomechanical Systems University of Stuttgart Pfaffenwaldring 5a 70569 Stuttgart

2. Institute of Structural Mechanics and Dynamics of Aerospace Structures University of Stuttgart Pfaffenwaldring 27 70569 Stuttgart

3. Stuttgart Center for Simulation Science (SC SimTech) University of Stuttgart Pfaffenwaldring 5a 70569 Stuttgart

Abstract

AbstractIn this contribution we investigate the relevance of the theory of porous media for the non‐isothermal modelling of material injection into porous structures. In particular, we provide a model describing the injection of cement during percutaneous vertebroplasty, which is derived by consistently following the theory of porous media. We demonstrate numerically that this model elicits unphysical behaviour under local thermal non‐equilibrium conditions. No distinct unphysical behaviour is observed under local thermal equilibrium conditions. We conclude that heuristic modifications of the model equations are necessary and suspect the unphysical behaviour to be caused by contradictory modelling assumptions.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202200070

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