scholarly journals Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting

2015 ◽  
Vol 2015 ◽  
pp. 1-17
Author(s):  
Yunliang Zhang ◽  
Zhidong Guo
Keyword(s):  
Existence And Uniqueness ◽  
Shear Thickening ◽  
Strong Solutions ◽  
Newtonian Potential ◽  
State Function ◽  
Heat Conducting ◽  
Strong Nonlinearity ◽  
Shear Thickening Fluids ◽  
Local Strong Solutions ◽  
Local Strong Solution

The aim of this paper is to discuss the model for a class of shear thickening fluids with non-Newtonian potential and heat-conducting. Existence and uniqueness of local strong solutions for the model are proved. In this paper, there exist two difficulties we have to overcome. One is the strong nonlinearity of the system. The other is that the state function is not fixed.

scholarly journals Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential

2018 ◽  
Vol 16 (1) ◽  
pp. 704-717
Author(s):  
Yukun Song ◽  
Fengming Liu
Keyword(s):  
Existence And Uniqueness ◽  
Existence Of Solutions ◽  
Particle System ◽  
Particle Interaction ◽  
Interaction Model ◽  
Shear Thickening ◽  
Strong Solutions ◽  
Fluid Particle ◽  
Newtonian Potential ◽  
Shear Thickening Fluid

AbstractThis 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 existence and uniqueness of strong solutions are established.

scholarly journals Strong Solutions for the Fluid-Particle Interaction Model with Non-Newtonian Potential

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Yukun Song ◽  
Heyuan Wang ◽  
Fengming Liu
Keyword(s):  
Particle Interaction ◽  
Interaction Model ◽  
Strong Solutions ◽  
Initial Boundary ◽  
Fluid Particle ◽  
Newtonian Potential ◽  
Strong Nonlinearity ◽  
Potential Term ◽  
Viscosity Term ◽  
Local Strong Solution

This paper deals with a mathematical fluid-particle interaction model used to describing the evolution of particles dispersed in a viscous compressible non-Newtonian fluid. It is proved that the initial boundary value problems with vacuum admits a unique local strong solution in the dimensional case. The strong nonlinearity of the system brings us difficulties due to the fact that the viscosity term and non-Newtonian gravitational potential term are fully nonlinear.

Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density

2019 ◽  
pp. 1-29 ◽  
Author(s):  
Xin Zhong
Keyword(s):  
Cauchy Problem ◽  
Micropolar Fluid ◽  
Initial Density ◽  
Strong Solutions ◽  
Fluid System ◽  
The Cauchy Problem ◽  
Local Strong Solutions ◽  
Field Decay ◽  
Micropolar Fluid Equations ◽  
Local Strong Solution

We study the Cauchy problem of nonhomogeneous magneto-micropolar fluid system with zero density at infinity in the entire space [Formula: see text]. We prove that the system admits a unique local strong solution provided the initial density and the initial magnetic field decay not too slowly at infinity. In particular, there is no need to require any Choe–Kim type compatibility condition for the initial data.

BLOW-UP CRITERIA FOR THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE FLUIDS

2008 ◽  
Vol 05 (01) ◽  
pp. 167-185 ◽  
Author(s):  
JISHAN FAN ◽  
SONG JIANG
Keyword(s):  
Blow Up ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Compressible Fluids ◽  
Navier Stokes ◽  
Positive Density ◽  
Heat Conducting ◽  
Navier Stokes Equations ◽  
Local Strong Solutions

We study the Navier–Stokes equations of three-dimensional compressible isentropic and two-dimensional heat-conducting flows in a domain Ω with nonnegative density, which may vanish in an open subset (vacuum) of Ω, and with positive density, respectively. We prove some blow-up criteria for the local strong solutions.

scholarly journals The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Meng Wu
Keyword(s):  
Sobolev Space ◽  
Nonlinear Equation ◽  
Weak Solutions ◽  
Existence And Uniqueness ◽  
Strong Solutions ◽  
Global Weak Solutions ◽  
Initial Value ◽  
Local Strong Solutions

The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev spaceC([0,T);Hs(R)) ∩C1([0,T);Hs-1(R))provided that the initial value lies inHs(R)withs>3/2. Meanwhile, we prove the existence of global weak solutions inL∞([0,∞);L2(R))for the equation.

Research and Applications of Shear Thickening Fluids

2011 ◽  
Vol 4 (1) ◽  
pp. 43-49 ◽  
Author(s):  
Jie Ding ◽  
Weihua Li ◽  
Shirley Z. Shen
Keyword(s):  
Shear Thickening ◽  
Shear Thickening Fluids

Dynamic compressive response of 3D GFRP composites with shear thickening fluid (STF) matrix as cushioning materials

2021 ◽  
pp. 002199832098424
Author(s):  
Mohsen Jeddi ◽  
Mojtaba Yazdani
Keyword(s):  
Shear Thickening ◽  
Low Velocity Impact ◽  
Gfrp Composites ◽  
High Concentration ◽  
Low Velocity ◽  
Shear Thickening Fluid ◽  
Compressive Response ◽  
Reinforced Polymer ◽  
Glass Fiber Reinforced ◽  
Shear Thickening Fluids

Whereas most previous studies have focused on improving the penetration resistance of Shear Thickening Fluids (STFs) treated composites, in this study, the dynamic compressive response of single and multi-ply 3 D E-Glass Fiber Reinforced Polymer (GFRP) composites with the STF matrix was investigated by using a drop-weight low-velocity impact test. The experimental results revealed the STF improved the compressive and cushioning performance of the composites such that with increasing its concentration, further improvement was observed. The five-ply composite containing the STF of 30 wt% silica nanoparticles and 1 wt% carbon nanotubes (CNTs) reduced the applied peak force by 56% and 26% compared to a steel plate and five-ply neat samples, respectively. A series of repeated impacts was performed, and it was found that the performance of high-concentration composites is further decreased under this type of loading.

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