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Dynamics of Complex Fluids by Hairch, Youssef

Dynamics of Complex Fluids

by Youssef Hairch
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Book cover type: Paperback
  • ISBN13: 9786207910908
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Our Knowledge Publishing
  • Publisher Imprint: Our Knowledge Publishing
  • Publication Date:
  • Pages: 80
  • Original Price: GBP 37.0
  • Language: English
  • Edition: N/A
  • Item Weight: 127 grams
  • BISAC Subject(s): Space Science / Astronomy

The coupling of the Navier-Stokes equations with the Allen-Cahn model represents a significant advance in the field of fluid mechanics and interface modeling. This development has its roots in the need to better understand and simulate complex multi-phase fluid dynamics. This book (Complex Fluid Dynamics: Approaches with Allen-Cahn and Navier-Stokes) explores the approximation of dynamics between two fluids of different densities and viscosities. It presents a model that couples the Allen-Cahn equation, describing the evolution of a scalar-order parameter, with the time-dependent Navier-Stokes equations governing fluid motion. This coupling involves a surface tension term, which takes into account the energy required to create an interface between phases, proportional to the curvature of the interface, leading to the formation of a dynamic interface. The two-phase Navier-Stokes/Allen-Cahn equations simulate several fluid flows, using the Allen-Cahn model for diffuse interfaces and the Navier-Stokes equations for fluid dynamics.

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