Results 11 to 20 of about 152 (51)
Journal of Applied Mathematics and Computational Mechanics, 2019 An analytical solution is presented for entropy generation on MHD Walter’s liquid B fluid over a stretching sheet with elastic deformation. The governing expressions of PDEs are converted into ODEs by suitable transformation which is solved by a ...
C. Ragavan +4 more
semanticscholar +1 more source
Effects of slip on oscillating fractionalized Maxwell fluid
Nonlinear Engineering, 2016 The flow of an incompressible fractionalized Maxwell fluid induced by an oscillating plate has been studied, where the no-slip assumption between the wall and the fluid is no longer valid.
Jamil Muhammad
doaj +1 more source
Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential
Open Mathematics, 2018 This paper is concerned with a compressible shear thickening fluid-particle interaction model for the evolution of particles dispersed in a viscous non-Newtonian fluid. Taking the influence of non-Newtonian gravitational potential into consideration, the
Song Yukun, Liu Fengming
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Optimal time-decay estimates for a diffusive Oldroyd-B model [PDF]
Z. Angew. Math. Phys. 74, 3 (2023), 2022 In this paper, we study the optimal time decay rates for the higher order spatial derivatives of solutions to a diffusive Oldroyd-B model. As pointed out in the Section 1.2 of Huang-Wang-Wen-Zi (J. Differential Equations 306: 456-491, 2022), how to estiblish the optimal decay estimate for the highest-order spatial derivatives of the solution to this ...
arxiv +1 more source
Study on the helicoidal flow through cylindrical annuli with prescribed shear stresses
Results in Physics, 2021 In this article, we presented an analysis of the helical flow, for evaluating the incompressible Maxwell fluid indwelling between the two circular regions created by infinitely long concentric circular cylinders.
Muhammad Kamran +6 more
doaj
Global solution to the three-dimensional compressible flow of liquid crystals [PDF]
SIAM J. Math. Anal., 45(5) (2013), 2678-2699, 2012 The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is close to an equilibrium state $(1,{\bf 0}, \hat{\d})$ with a constant vector $\hat{\d}\in S^2$.
arxiv +1 more source
Global stability of Oldroyd-B fluids in plane Couette flow [PDF]
arXiv, 2023 We prove conditions for global nonlinear stability of Oldroyd-B viscoelatic fluid flows in the Couette shear flow geometry. Global stability is inferred by analysing a new functional, called a perturbation entropy, to quantify the magnitude of the polymer perturbations from their steady-state values.
arxiv
Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals [PDF]
, 2009 The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the ...
arxiv +1 more source
Effects of non-linear rheology on the electrospinning process: a model study [PDF]
Mechanics Research Communications, vol. 61, pp. 41-46, 2014, 2014 We develop an analytical bead-spring model to investigate the role of non-linear rheology on the dynamics of electrified jets in the early stage of the electrospinning process. Qualitative arguments, parameter studies as well as numerical simulations, show that the elongation of the charged jet filament is significantly reduced in the presence of a non-
arxiv +1 more source
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation [PDF]
, 2021 We consider a fluid model including viscoelastic and viscoplastic effects. The state is given by the fluid velocity and an internal stress tensor that is transported along the flow with the Zaremba-Jaumann derivative. Moreover, the stress tensor obeys a nonlinear and nonsmooth dissipation law as well as stress diffusion.
arxiv +1 more source