Registered Data

[CT149]

[00058] Thermocapillary dynamics of viscous droplet driven by internal thermal singularity

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In a non-isothermal Poiseuille flow, we investigate the impact of an internal thermal singularity on the migration of a viscous immiscible droplet. The migration velocity strongly depends upon the type of thermal singularity and where it is located inside the droplet. In $Re \to 0$ and $Pe \to 0$ limits, this mathematical model provides a control mechanism for droplet migration, which may be useful in a variety of microfluidics as well as industrial applications.
  • Classification : 76T06
  • Author(s) :
    • Arindam Basak (Indian Institute of Technology Kharagpur)
    • Rajaram Lakkaraju (Indian Institute of Technology Kharagpur)
    • Raja Sekhar G P (Indian Institute of Technology Kharagpur India)

[00055] Thermocapillary dynamics of droplets and bubbles with internal thermal singularity

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In an arbitrary steady Stokes flow, we investigate the impact of an internal thermal singularity associated with the thermocapillary migration of a droplet. The type of thermal singularity and where it is located inside the drop have a significant impact on the migration velocity. This phenomenon provides a control mechanism for drop migration in the low Re and low Pe limits, which may be advantageous in various biomedical as well as industrial applications.
  • Classification : 76T10
  • Author(s) :
    • Arindam Basak (IIT Kharagpur)

[00362] Nonlinear biphasic mixture model: existence and uniqueness results

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : The purpose of this study is to develop a multiphase mathematical model based on interstitial hydrodynamics and tissue deformation mechanics within an in vitro solid tumor. We use classical mixture theory to derive the balance equations for mass and momentum. The study makes a significant contribution by treating hydraulic resistivity as anisotropic and heterogeneous, which leads to strongly coupled and nonlinear PDEs. We further establish existence and uniqueness result in a weak sense.
  • Classification : 76Txx, 76Zxx, 35Q74, 35D30, Analysis of nonlinear partial differential equations
  • Author(s) :
    • Meraj Alam (Mahindra University, Hyderabad)
    • Adrian Muntean (University of Karlstad)
    • Raja Sekhar G P (Indian Institute of Technology Kharagpur India)

[02673] Reduced-order Modelling of Normal Elastohydrodynamic Collision of Spheres

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : I present a model for the normal impact of two elastic spheres colliding in incompressible constant-viscosity Newtonian fluid. Pressure is modelled by the Reynolds lubrication equation, and sphere deformation by Hertz contact theory. Modelling the radial pressure gradient by a Pad\'e approximant that is characterized by the centerline gap and curvature, and by rate of gap closing, the problem is reduced to a fourth-order system of ODEs that can be integrated numerically in time.
  • Classification : 76Txx, 74Fxx, 70Gxx
  • Author(s) :
    • John C. WELLS (Ritsumeikan University)

[01579] Boltzmann equation with generalized collisional invariants

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : I demonstrate the Boltzmann equation with the generalized collision invariants. We investigate the dissipation process and transport characteristics obtained by such Boltzmann equation with the generalized collision invariants. Such results also imply the characteristics of fluids with anomalous diffusion.
  • Classification : 82Bxx, 93A16
  • Author(s) :
    • Ryosuke Yano (Tokio Marine dR. Co., Ltd.)