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[CT138]

CT138 (1/1) : Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @D101
Type : Contributed Talk
Abstract : We present a hydrodynamic model of active polar liquid crystals. We consider sheared active polar liquid crystals, and study dynamics of the polar order and shear rheology of the system. We show that shear may increase or decrease the polarization magnitudes. We derive the apparent viscosity formula showing a regime of negative apparent viscosity and a superfluid behavior for pushers, Our results echo previous results from numerical simulations and experiments.
Classification : 76A15, 76A05
Format : Talk at Waseda University
Author(s) :
- Zhenlu Cui (Fayetteville State University)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @D101
Type : Contributed Talk
Abstract : This study presents the numerical solution for heat transfer through a rotating heat pipe filled with hybrid nanofluid Graphene oxide-molybdenum disulphide (GO-MoS2). The developed mathematical model is solved by hybridization of “Particle Swarm Optimization” along with finite difference method. Sensitivity of different parameters on heat transfer is analysed by fitting the full quadric regression model using response surface method. The identified parameters for heat transfer enhancement are nanoparticle concentration, inlet fluid mass and temperature difference.
Classification : 76A20, 80M20, 65L06, 62P35, 90C31
Format : Talk at Waseda University
Author(s) :
- Ziya Uddin (BML Munjal University, Gurugram)
- Hamdy Hassan (Egypt-Japan University of Science and technology)
- Souad Harmand (UPHF)
- Wubshet Ibrahim (Ambo University)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @D101
Type : Contributed Talk
Abstract : We establish the well-posedness theorem and study discontinuous Galerkin $($DG$)$ approximation for the non-Newtonian Stokes--Darcy--Forchheimer system modeling the free fluid coupled with the porous medium flow with shear/velocity-dependent viscosities. The unique existence is proved by using the theory of nonlinear monotone operator. In particular, we prove a coupled inf-sup condition to show the existence of pressure in $L^2(\Omega_1) \times L^\frac{3}{2}(\Omega_2)$. We also explore the convergence of the Picard iteration for the continuous problem. Moreover, we apply the DG method with $\mathbb{P}_k/\mathbb{P}_{k-1}$ element for numerical discretization and obtain the well-posedness, stability, and error estimate. For the discrete problem, we also investigate the convergence of the Picard iteration. The theoretical results are confirmed by the numerical examples.
Classification : 76Axx, 76Sxx, 76Dxx, 65Nxx
Format : Talk at Waseda University
Author(s) :
- Jingyan Hu (University of Electronic Science and Technology of China)
- Guanyu Zhou (University of Electronic Science and Technology of China)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @D101
Type : Contributed Talk
Abstract : We have studied the natural convection of Casson fluid in a partially heated, inclined porous square cavity in the presence of external inclined magnetic field and viscous dissipation. In addition to these, it is assumed that the upper wall of the cavity is moving. We have used higher order Galerkin finite element method to solve the system of governing equations. Moreover, a comparative study for effects of various physical parameters has been done.
Classification : 76A05, 76D05, 76M10, 76S05, 76W05
Format : Online Talk on Zoom
Author(s) :
- Ram Dhan Mahla (University of Rajasthan)
- Sharad Sinha (University of Rajasthan Jaipur )