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Multiscale modelling analysis and computations of complex heterogeneous multiphase systems

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VerverisA_0519_macs.pdf (5.512Mb)
Date
2019-05
Author
Ververis, Antonios
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Abstract
In this thesis, we analytically and computationally investigate various aspects related to the multiphase-multicomponent interfacial processes and reactive transport in homogeneous domains and heterogeneous periodic perforated media. More precisely, we perform formal homogenization arguments to the microscopic Cahn-Hilliard type equations governed the dynamics in binary and ternary mixtures, in the presence of two or more phases. We additionally consider the coupling of the Cahn-Hilliard type species diffusion to fluid flow, a coupling which gives rise to more complex systems since a Navier-Stokes momentum balance is involved. Each particular model can be formally derived by an Energetic Variational Approach, that combines the classical idea of gradient flows for free energy minimization as a direct consequence of the second law of thermodynamics, together with the Least Action and Maximum Dissipation Principles. Moreover, as an extension of the already established two-scale convergence approach, we investigate further a reiterated homogenization procedure over three separated scales of periodic oscillations. Finally, we examine the General Equations for Non-Equilibrium Reversible-Irreversible Coupling commonly known by the abbreviation GENERIC, an extended two-generator variational framework, which was initially developed in order to model the rheological properties of complex fluids, far from thermodynamic equilibrium.
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http://hdl.handle.net/10399/4270
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©Heriot-Watt University, Edinburgh, Scotland, UK EH14 4AS.

Maintained by the Library
Tel: +44 (0)131 451 3577
Library Email: libhelp@hw.ac.uk
ROS Email: open.access@hw.ac.uk

Scottish registered charity number: SC000278

  • About
  • Copyright
  • Accessibility
  • Policies
  • Privacy & Cookies
  • Feedback
AboutCopyright
AccessibilityPolicies
Privacy & Cookies
Feedback