Validation of a magneto- and ferro-hydrodynamic model for non-isothermal flows in conjunction with Newtonian and non-Newtonian fluids

L. Könözsy, P. Scienza, D. Drikakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

67 Downloads (Pure)

Abstract

This work focuses on the validation of a magnetohydrodynamic (MHD) and ferrohydrodynamic (FHD) model for non-isothermal flows in conjunction with Newtonian and non-Newtonian fluids. The importance of this research field is to gain insight into the interaction of non-linear viscous behaviour of blood flow in the presence of MHD and FHD effects, because its biomedical application such as magneto resonance imaging (MRI) is in the centre of research interest. For incompressible flows coupled with MHD and FHD models, the Lorentz force and a Joule heating term appear due to the MHD effects and the magnetization and magnetocaloric terms appear due to the FHD effects in the non-linear momentum and temperature equations, respectively. Tzirtzilakis and Loukopoulos [1] investigated the effects of MHD and FHD for incompressible non-isothermal flows in conjunction with Newtonian fluids in a small rectangular channel. Their model excluded the non-linear viscous behaviour of blood flows considering blood as a Newtonian biofluid. Tzirakis et al. [2, 3] modelled the effects of MHD and FHD for incompressible isothermal flows in a circular duct and through a stenosis in conjunction with both Newtonian and non-Newtonian fluids, although their approach neglects the non-isothermal magnetocaloric FHD effects. Due to the fact that there is a lack of experimental data available for non-isothermal and non-Newtonian blood flows in the presence of MHD and FHD effects, therefore the objective of this study is to establish adequate validation test cases in order to assess the reliability of the implemented non-isothermal and non-Newtonian MHD-FHD models. The non-isothermal Hartmann flow has been chosen as a benchmark physical problem to study velocity and temperature distributions for Newtonian fluids and non-Newtonian blood flows in a planar microfluidic channel. In addition to this, the numerical behaviour of an incompressible and non-isothermal non-Newtonian blood flow has been investigated from computational aspects when a dipole-like rotational magnetic field generated by infinite conducting wires. The numerical results are compared to available computational data taken from literature [2].

Original languageEnglish
Title of host publicationECCOMAS Congress 2016
Subtitle of host publicationProceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering
EditorsM. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris
Place of PublicationAthens
Pages1061-1083
Number of pages23
Volume1
ISBN (Electronic)9786188284401
Publication statusPublished - 5 Jun 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period5/06/1610/06/16

Keywords

  • ferro-hydrodynamics
  • magnetohydrodynamics
  • Newtonian fluids
  • non-isothermal blood flows
  • non-isothermal hartmann flows
  • non-Newtonian fluids

Fingerprint Dive into the research topics of 'Validation of a magneto- and ferro-hydrodynamic model for non-isothermal flows in conjunction with Newtonian and non-Newtonian fluids'. Together they form a unique fingerprint.

  • Cite this

    Könözsy, L., Scienza, P., & Drikakis, D. (2016). Validation of a magneto- and ferro-hydrodynamic model for non-isothermal flows in conjunction with Newtonian and non-Newtonian fluids. In M. Papadrakakis, V. Papadopoulos, G. Stefanou, & V. Plevris (Eds.), ECCOMAS Congress 2016 : Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (Vol. 1, pp. 1061-1083). Athens.