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International Journal of Applied Mechanics and Engineering, 2020 This paper deals with the investigation of time dependent boundary layer flow of a modified power-law fluid of fourth grade on a stretched surface with an injection or suction boundary condition. The fluid model is a mixture of fourth grade and power-law
M. Yürüsoy
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On the Stokes Paradox for Power-Law Fluids
ZAMM, 2001 We study a purely viscous flow of a non-Newtonian fluids obeying the power-law in an exterior domain. We prove that for pseudo-plastic fluids the Stokes paradox does not take place, while for the dilatant fluids it takes place in any space dimension $n$ if the flow index is larger or equal to $n$.
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On Hele–Shaw flow of power-law fluids
European Journal of Applied Mathematics, 1992 This paper reviews the governing equations for a plane Hele–Shaw flow of a power-law fluid. We find two closely related partial differential equations, one for the pressure and one for the stream function. Some mathematical results for these equations are presented, in particular some exact solutions and a representation theorem.
Aronsson, Gunnar, Janfalk, Ulf
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Corner Flow of Power Law Fluids [PDF]
Journal of Rheology, 1989 A local analysis of the flow of power law fluids near corners is performed. The equation for the stream function is shown to allow separated solutions in plane polar coordinates. The radial behavior is shown to be algebraic and results are given for the exponent for different values of corner angle and power law exponent.
Henriksen, P. +1 more
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Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions
Fractal and Fractional, 2022 In this paper, the study of the fully developed flow of a self-similar (fractal) power-law fluid is presented. The rheological way of behaving of the fluid is modeled utilizing the Ostwald–de Waele relationship (covering shear-thinning, Newtonian and ...
Abdellah Bouchendouka +6 more
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Existence Theory for Stochastic Power Law Fluids [PDF]
Journal of Mathematical Fluid Mechanics, 2015 We consider the equations of motion for an incompressible Non-Newtonian fluid in a bounded Lipschitz domain $G\subset\mathbb R^d$ during the time intervall $(0,T)$ together with a stochastic perturbation driven by a Brownian motion $W$. The balance of momentum reads as $$dv=\mathrm{div}\, S\,dt-(\nabla v)v\,dt+\nablaπ\,dt+f\,dt+Φ(v)\,dW_t,$$ where $v ...
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An experimental investigation of rheological characteristics of non- Newtonian nanofluids [PDF]
Journal of Heat and Mass Transfer Research, 2014 Rheological characteristics of Al2O3, CuO and TiO2 nano particles were investigated in oil asthe base fluid at 1 and 2 wt.%. Constitutive relations for non-Newtonian fluid were discussedbased on the power-law model. Measured viscosities of each nanofluid
Milad Tajik Jamal-Abad +4 more
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Artificial intelligence in telemedicine: Topic modelling and network analysis of patents (1992–2024)
Digital HealthBackground Artificial intelligence (AI) is transforming telemedicine within the broader digital-health ecosystem, yet systematic evidence on its technological hotspots and long-run trajectories remains limited.
Ruyi Xiao +4 more
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FluidsA solvent in suspension often has non-Newtonian properties. To date, in order to determine these properties, many constitutive equations have been suggested. In particular, power-law fluid, which describes both dilatant and pseudoplastic fluids, has been
Keiya Tomioka, Tomohiro Fukui
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Capillarity driven spreading of power-law fluids
Applied Mathematics Letters, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Santiago Betelú, Marco Antonio Fontelos
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