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The Non-Newtonian Fluid in the Collision [PDF]
This paper studies elastic-plastic material deformation in terms of Cauchy and PTT. It gives certain convergence to the equation analysis in the discrete finite element method; it reaches o (h2+Δt) under the certain step length. Then we carry on Three-dimensional numerical simulation by the high performance software LS-DYNA and the distribution of ...
Lei Hou, Jun Jie Zhao, Lin Qiu
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ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
Mathematical Models and Methods in Applied Sciences, 1993The Navier-Stokes equations can be included as a special case into the class of non-Newtonian incompressible fluids with the nonlinear stress tensor τ=τ(e), the components of which satisfy the p-growth condition. Measure-valued solutions already exist for p>2n/(n+2).
Málek, Josef+2 more
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Agitation of non‐Newtonian fluids
AIChE Journal, 1957AbstractSince the shear rate of a non‐Newtonian fluid is of importance in fixing the rheological or viscometric behavior of such a material, the present study has been concerned with the development of a general relationship between impeller speed and the shear rate of the fluid. The resulting relationship was then used to interpret and correlate power‐
A. B. Metzner, R. E. Otto
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2016
How could you characterize a liquid? You could start with its color, maybe talk about its smell or taste (watch out!) and consider its acidity (lime juice or soap). But sooner or later you will think about the liquid’s viscosity. The viscosity quantifies what we use to call a “thick” or “thin” liquid.
Boris Lemmer+2 more
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How could you characterize a liquid? You could start with its color, maybe talk about its smell or taste (watch out!) and consider its acidity (lime juice or soap). But sooner or later you will think about the liquid’s viscosity. The viscosity quantifies what we use to call a “thick” or “thin” liquid.
Boris Lemmer+2 more
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Modelling of non-Newtonian fluids
Mathematics and Computers in Simulation, 2007The problem of the non-Newtonian fluid flow is solved. The basic equations are derived based on the Newtonian fluid flow but using special constitutive equation for the viscosity. The spatial discretization is done using the finite element method (FEM).
Jiří Křen, Ludk Hynčík
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Flow of a non-Newtonian fluid [PDF]
The objective of the present study is to calculate flows of a non-Newtonian fluid in a plane channel. An exact solution that determines the distribution of the fluid velocity in the transverse cross section of the channel is obtained under certain conditions concerning the dependence of viscosity on the velocity gradient.
V. G. Pridanov, V. I. Khonichev
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Regularity of Non-Newtonian Fluids
Journal of Mathematical Fluid Mechanics, 2013In this paper, we consider a non-Newtonian fluids with shear dependent viscosity in a bounded domain \({\Omega \subset \mathbb{R}^n, n = 2, 3}\) . For the power-law model with the viscosity as in (1.4), we show the global in time existence of a weak solution for \({q \geq \frac{11}{5}}\) when n = 3 (see Theorem 1.1), and the local in time existence of ...
Hyeong-Ohk Bae, Bum Ja Jin
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1984
Fluids give and flow under stress. Newtonians are the simplest of fluids, and they are characterized by the property that the velocity gradient at a point is proportional to the shear stress at that point, thus $$({\rm{Shear\;rate}})\alpha ({\rm{shear\;stress}})\;\;{\rm{or}}\;\;{{du} \over {dy}}\alpha \tau$$ All other fluids are called non ...
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Fluids give and flow under stress. Newtonians are the simplest of fluids, and they are characterized by the property that the velocity gradient at a point is proportional to the shear stress at that point, thus $$({\rm{Shear\;rate}})\alpha ({\rm{shear\;stress}})\;\;{\rm{or}}\;\;{{du} \over {dy}}\alpha \tau$$ All other fluids are called non ...
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2006 International Semiconductor Conference, 2006
The paper presents the theory, microfabrication and some simulations for non-Newtonian fluid flow through different types of microchannels. The microchannel types are: straight, bifurcated, stenosed and endothelial profiled. These simulations were made in order to provide an idea about blood flow through blood vessels and microchannels. Thus, blood was
Ciprian Iliescu+3 more
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The paper presents the theory, microfabrication and some simulations for non-Newtonian fluid flow through different types of microchannels. The microchannel types are: straight, bifurcated, stenosed and endothelial profiled. These simulations were made in order to provide an idea about blood flow through blood vessels and microchannels. Thus, blood was
Ciprian Iliescu+3 more
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Hydrodynamics of Non-Newtonian Fluids
Nature, 1947The classical theory of the hydrodynamics of viscous fluids depends on the assumption of a particular law governing the relations between the components of stress in a fluid and those of the strain-velocity. This assumption limits its applicability to Newtonian fluids.
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