power law fluids

Top PDF power law fluids:

A design rule for constant depth microfluidic networks for power-law fluids

A design rule for constant depth microfluidic networks for power-law fluids

Using a similar approach to that reported in Sect. 3.2 for X = 1 , first we analyse the flow of power-law fluids using the geometry obtained for a Newtonian fluid. Figure 4a shows the normalised average wall shear stress in each con- secutive generation of a network designed for a Newtonian fluid with X = 1.25. For the case of n = 1 , the CFD results are in very good agreement with the results presented by Emerson et al. (2006) and Barber and Emerson (2008) and with theory (Eq. 9), resulting in a maximum deviation of less than 0.5 %. When X = 1.25, the average wall shear stress increases at each consecutive generation, resulting in a positive gradient along the network as imposed by set- ting the branching parameter to a value greater than unity (X > 1 ) in the biomimetic rule. However, unlike the equiv- alent case for X = 1 , the use of the Newtonian geometry produces very different shear-stress distributions along the network for each power-law fluid tested (Fig. 4a). It is clear that for a branching parameter X = 1.25, the power- law fluids will not display the desired behaviour when flowing in the Newtonian-designed geometry. This is also highlighted from the deviations in the resistances shown in Fig. 4b.
Show more

13 Read more

Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids : slender rivulets and dry patches

Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids : slender rivulets and dry patches

Most of the work described above concerns flow of a Newtonian fluid; there are somewhat fewer papers on surface-shear-stress-driven flow of a non-Newtonian power-law fluid. For exam- ple, Pascal [32] obtained analytical and numerical solutions for the spreading of a fixed volume of a power-law fluid over a slightly denser Newtonian fluid subject to a shear stress at the free surface. Recently, Pascal and D’Alessio [33] investigated the linear stability of the flow of Newtonian and power-law fluids down an inclined plane subject to a prescribed shear stress at the free surface; they found that a shear stress down the plane destabilizes the flow whereas a shear stress up the plane stabilizes it. Wilson et al. [34] obtained similarity solutions describing steady flow of non-uniform slender rivulets of Newtonian and power-law fluids on an inclined plane, driven by either gravity or a constant shear stress at its free surface; their solutions for the two different driving mechanisms are qualitatively similar.
Show more

33 Read more

Steady flow of power-law fluids in a 1:3 planar sudden expansion

Steady flow of power-law fluids in a 1:3 planar sudden expansion

Mishra and Jayaraman [6] examined numerically and experimentally the asymmetric steady flow patterns of shear-thinning fluids through planar sudden expansions with a large expansion ratio, ER= 16. Manica and De Bortoli [7] studied numerically the flow of power-law fluids in a 1:3 planar sudden expansion for n = 0.5, 1 and 1.5. They presented the vortex characteristics for these values of n and for 30 ≤ Re ≤125, and observed that the flow bifurcation for shear-thinning fluids occurs at a critical Reynolds number higher than for Newtonian fluids, and that shear-thickening fluids exhibited the lowest critical Reynolds number. Considering again purely viscous fluids represented by the power-law and Casson models, Neofytou [8] analyzed the transition from symmetric to asymmetric flow of power-law fluids with power-law indices in the range 0.3 ≤ n ≤ 3 in a 1:2 planar sudden expansion and also studied the effect of Reynolds number on the flow patterns.
Show more

28 Read more

The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface

The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface

The flow of boundary layer for non-Newtonian fluids over a moving surface has import engineering applications, for example metal or plastic extrusion, lubrication and heat exchangers etc. Yürüsoy [1] studied the similarity solution of a boundary layer on a stretched surface for a Power-Law fluid. By using a special similarity transformation, which was used also in this paper, he reduces the unsteady boundary layer equations to a non-linear ordinary differential equation system. Yürüsoy and Pakdemirli [2] treated the symmetry reductions of unsteady three dimensional boundary layer equations of non-Newtonian fluids by using Lie Group analysis. Acrivos et al.[3] examined the flow past a horizontal flat plate including heat transfer without dispersion term in the energy equation. Schowalter [4] investigated two and three dimensional boundary layer equation of power-law fluids. Chen [5] treated effect of suction-injection and magnetic field on convection heat transfer of power-law fluid over a stretching sheet. Ece [6] investigated free convection to power-law fluids from a vertical cone of variable surface temperature. Luna et al. [7] analyzed the case of conjugated heat transfer in circular ducts for a power-law fluid. Hassanien [8] considered the heat transfer in power-law fluid over a non-isothermal stretching sheet.
Show more

5 Read more

Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids

Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids

Consider the evolution of a thin layer of non-Newtonian fluid. I model the case of a nonlinear viscosity that depends only upon the shear-rate; power law fluids are an important example, but the analy- sis is for general nonlinear dependence upon the shear-rate. The mod- elling allows for large changes in film thickness provided the changes occur over a large enough lateral length scale. The modelling is based on two macroscopic modes by fudging the spectrum: here fiddle the surface boundary condition for tangential stress so that, as well as a mode representing conservation of fluid, the lateral shear flow u ∝ y is a neutral critical mode. Thus the resultant model describes the dy- namics of gravity currents of non-Newtonian fluids when their flow is not very slow. For an introduction I first report on an analogous case of nonlinear diffusive dissipation.
Show more

27 Read more

Constant depth microfluidic networks based on a generalised Murry's law for Newtonian and power-law fluids

Constant depth microfluidic networks based on a generalised Murry's law for Newtonian and power-law fluids

For the case of Newtonian fluids (n = 1), the CFD results are in very good agreement with theory. When X = 1.25, the average wall shear-stresses are increasing at each con- secutive generation, while for X = 0.75 they are decreasing as imposed by the biomimetic rule. However, unlike in the case of X = 1, the use of the Newtonian geometry produces very different shear-stress distributions along the network for each power-law fluid (Figs. 3a and 3b). It is clear that for branching pa- rameters different from unity, the power-law fluids will not display the desired behaviour when flowing in the Newtonian-designed ge- ometry.
Show more

8 Read more

Pressure and pressure derivative analysis for fractal 
		homogeneous reservoirs with power law fluids

Pressure and pressure derivative analysis for fractal homogeneous reservoirs with power law fluids

Different authors proposed models to explain the behavior of a reservoir, depending on its properties, for example, Odehand Yang (1979), and Ikokuand Ramey (1979a, 1979b) were the first ones who developed models for when there are non-Newtonian fluids inside infinite reservoirs; also, Chang and Yortsos (1990) characterized a fracture network in a reservoir using fractal geometry. They introduced the concepts of Df which represents the fractal dimension of a fractal network of fractures, and  which characterizes the geometry and transport properties in the fracture network.
Show more

7 Read more

Fluid Dynamics and Heat Transfer in Non-Newtonian Annular Cylindrical Solidification of a Binary Alloy

Fluid Dynamics and Heat Transfer in Non-Newtonian Annular Cylindrical Solidification of a Binary Alloy

evolution of fluid mechanics and heat transfer for non- Newtonian pseudo plastic and dilatant power law fluids undergoing inward annular solidification processes between two concentric thick walled horizontal cylinders. External inner and outer forced convection originates the transient motion of a binary alloy by natural convection inside a cylindrical mold in which conduction in the walls is included. The liquid to solid phase transformation is described by a liquid phase fraction that varies linearly with temperature. The effects of Rayleigh number Ra and radii ratio R on the time evolution of velocity and temperature distributions are investigated for pseudo plastic and dilatant fluids in comparison with the results corresponding to the Newtonian fluid assumption for the alloy in the mushy zone and in the liquid phase.
Show more

5 Read more

A Power Law Governing Prime Gaps

A Power Law Governing Prime Gaps

There is already substantial literature on primes adopting the statistical physics pers- pective. In line with our finding, the histograms in the distribution of gaps between primes divided into “congruence families” are shown to be scale invariant [3]. A theory to explain the origin of the unexpected periodic behavior of gaps between primes has been linked to the k -tuple conjecture, the statistical mechanics of spin systems and the Sierpinski fractal [4]. Higher-order gaps between the primes have been analyzed by Fourier decomposition to show patterns in the resulting power spectra [5]. The gaps between primes have been shown to exhibit a period six oscillation [6]. The histogram of the increments (the difference between two consecutive gaps between primes) has been shown to follow an exponential distribution with superposed periodic behavior of period three [7]. Rather than prime gaps, for the distribution of primes themselves there have been claims of self-similarity [8], small world networks [9] and even chaos [10].
Show more

7 Read more

Power law in XML schema metrics

Power law in XML schema metrics

Structure metrics include the number of nodes, edges and average path length or diameter of. the schemas[r]

83 Read more

The Criminalisation of Coercive Control: The Power of Law?

The Criminalisation of Coercive Control: The Power of Law?

In some ways, coercive control creep, the increasingly present use of this concept as a point of uncontested reference, emulates this policy process. Throughout this process, little thought has apparently been given to alternatives to criminalisation; Goodmark (2017) outlines some of the possible reasons for this. At the same time, there is sufficient evidence pointing to the unintended consequences of harnessing the law in this way—particularly for those whom it is believed might be protected by the law (see, e.g., Douglas 2018; Tolmie 2018)—with protection from the law being additionally problematic for Indigenous women (Blagg 2016), women with disabilities (Thiara, Hague and Mullender 2011) and those from ethnic minorities (Gill and Harrison 2017). This evidence is multifaceted and multilayered, ranging from the specific consequences associated with particular legal strategies to the more general question of what response women (in violent relationships) might want from a criminal justice system and what they might receive in reality. The criminalisation of coercive control has drawn comment along all these dimensions.
Show more

15 Read more

Butler and life: law, sovereignty, power

Butler and life: law, sovereignty, power

From the very start of the well-known essay, first published as a newspaper editorial, Butler separates modalities of power and law. Governmentality and sovereignty are read from the start as forces that act upon jurisdiction, the ‘territory’ 3 of law. At first blush, the proposition (and its consequences) creates an aporia, at least to those who are familiar with Foucault’s modalities of power, the very modalities that Butler is invoking in this essay. In Discipline and Punish (1991a), Foucault hardly differentiates between the sovereign and the law: both fall under the category of juridical power. Nevertheless, I want to emphasise that Foucault does not equate the sovereign with the law; rather, he vests the sovereign with the ‘force of law’. Foucault recognises that there is a jurisdiction that is legal. This jurisdiction, through the instrument of the trial, decides upon the ‘truth’ of the alleged event, and through the instrument of punishment, publicises the ‘truth’. In this context, Foucault writes, ‘[t]he body, several times tortured, provides the synthesis of the reality of the deeds and the truth of the investigation, of the documents of the case and the statements of the criminal, of the crime and the punishment’ (1991a: 47). For Foucault, the juridical order entertains itself with the trying of the accused (1991a: 44-8), but the king or prince, engages in a distinct practices with distinct effects. In the sovereign is vested the power of deciding life or death
Show more

22 Read more

Power Law Signature in Indonesian Population

Power Law Signature in Indonesian Population

The paper analyzes the spreading of population in Indonesia. The spreading of population in Indonesia is clustered in two regional terms, i.e.: kabupaten and kotamadya. It is interestingly found that the rank in all kabupaten respect to the population does not have fat tail properties, while in the other hand; there exists power-law signature in kotamadya. We analyzed that this fact could be caused by the equal or similar infrastructural development in all regions; nevertheless, we also note that the first 20 kabupatens are dominated in Java and Sumatera. Furthermore, the fat tail character in the rank of kotamadya could be caused by the big gap between big cities one another, e.g.: Jakarta, Surabaya, and others. The paper ends with some suggestions of more attention to infrastructural development in eastern regional cities.
Show more

10 Read more

lec-3(fluid).pptx

lec-3(fluid).pptx

14-1 fluids, density and pressure..  Fluids.[r]

25 Read more

Assessing Group Project for Fluids Power and Advanced Fluid Mechanics Paper

Assessing Group Project for Fluids Power and Advanced Fluid Mechanics Paper

It has now established itself in a number of locations just within the Greater Brisbane catchment, with two university campuses located at Springfield and Ipswich. It also has a Queensland College of Wine Tourism at Stanthorpe. It offers courses in law, health, engineering, surveying, sciences, business, education, and the arts. The institution was established in 1967 as the Darling Downs campus of the Queensland Institute of Technology. In 1970, the institution had provided studying programs for rural Queensland and international communities. In 1971, it became the Darling Downs Institute of Advanced Education, then the University College of Southern Queensland in 1990 and finally the University of Southern Queensland in 1992. USQ is ranked No.1 in Australia for Engineering Graduates in full-time work and graduate salary (Good Universities Guide, 2018/2019).
Show more

56 Read more

Overview of working fluids and sustainable heating, cooling and power generation technologies

Overview of working fluids and sustainable heating, cooling and power generation technologies

dents were recorded although one had no data (40 injured, 1 severely harmed, 200 evacuations). One fluorocarbon leak was noted (1 injured, 1 death). Since the data originated from an organisation with an explicit interest in promoting fluorocarbons against LTS fluids, a selection of the links to the original data sites were checked and found to be correct. Using the search terms ‘ ammonia + accident ’ an Internet search generated additional, more recent examples of ammonia releases causing problems. ‘ hydrocarbon + accident + refrigerant ’ generated a recent report by the London Fire Brigade concerning the fire hazard of domestic freezers related especially the flammable cyclo-pentane blowing agent. EU and American legislation restricts the hydrocarbon charges in appliances with heat exchangers in rooms to a max- imum of 150 g. This information reinforces what was already known, that is ammonia and hydrocarbons are potentially hazard- ous, especially when used on the large scale without adequate
Show more

14 Read more

Leadership, Power, and Politics in Law Firms

Leadership, Power, and Politics in Law Firms

Fortunately, a developing area of leadership research provides useful insights into law firm leadership. In recent years there has been growing interest among leadership scholars in what has variously been termed ‘collective’, ‘distributed’ or ‘shared’ leadership. In this plural conceptualisation of leadership, leadership roles are shared among multiple actors, and authority relationships are ambiguous and potentially contested. Unlike most conventional leadership research, a plural model of leadership views leadership as a collective process, unfolding over time and arising from the actions and interactions of a group of individuals. Leadership, in this sense, is not something that is done by people but something that happens between people seeking to influence each other. As a result, it can be more temporary, more insecure and more subject to negotiation than traditional individualised
Show more

25 Read more

Mathematics of Fluid & Its Applications

Mathematics of Fluid & Its Applications

CONCLUSION : Fluid-mechanics is an “ancient science” that is incredibly alive today. The modern technologies require a deeper understanding of the behavior of real fluids; on the other hand new discoveries often pose new challenging mathematical problems.The basic characteristic of the fluid is that it can flow. Fluids are divided in two categories, incompressible fluids (fluids that move at far subsonic speeds and do not change their density) and compressible fluids The aim of this paper is to furnish some results in very different areas that are linked by the common scope of giving new insight in the field of fluid dynamics. The aim of this paper is to furnish some results in very different areas that are linked by the common scope of giving new insight in the field of fluid dynamics. The study of these flows has been attached with a wide range of mathematical techniques and, today, this is a stimulating part of both pure an applied mathematics.
Show more

6 Read more

How to predict fine resolution occupancy from coarse occupancy data

How to predict fine resolution occupancy from coarse occupancy data

At least ten different models have been proposed for extrapo- lating the OAR. They cover a broad theoretical spectrum and levels of complexity (see Azaele, Cornell, & Kunin, 2012; Barwell, Azaele, Kunin, & Isaac, 2014) (Supporting Information Table S3). The simplest model proposed is the Poisson model which assumes that individuals are distributed independently according to a binomial distribution (Wright, 1991). Three models are variations assuming fractal distri- bution patterns, the power law (Kunin, 1998), Nachman (Nachman, 1981) and logistic (Hanski & Gyllenberg, 1997) models. Four mod- els are based on the negative binomial distribution and incorporate a measure of over-dispersion: the negative binomial (He & Gaston, 2000), generalised negative binomial (He, Gaston, & Wu, 2002), im- proved negative binomial (He & Gaston, 2003) and finite negative binomial (Zillio & He, 2010). The Thomas model incorporates spatial point processes in order to more flexibly account for species aggre- gations (Azaele et al., 2012). The only spatially-explicit model is the Hui model, which differs from the others in that it only requires data at a single grain size (Hui, 2009; Hui, McGeoch, & Warren, 2006; Hui et al., 2009). It is based on the conditional probability that a ran- domly chosen adjacent cell is occupied when the cell in question is also occupied. This has the advantage of giving some information on the likelihood of adjacent calls being occupied in the finer grid. A related model, which we do not consider here, accounts for the percolation effect on occupancy at coarse grains, this is the so-called “droopy-tail” model (Hui & McGeoch, 2007).
Show more

10 Read more

Is Power Law the Universal Law for Large Real Graph: Internet?

Is Power Law the Universal Law for Large Real Graph: Internet?

Till now, we have seen that some of the largest networks such as Internet topologies, WWW, Social Network follows power laws. Faloutsos et al. [2] derived power laws related to computer networks considering three instance of inter-domain graphs. After a decade, they reviewed similar results using Oregon routeviews project [3] that span across 1600 days containing 1253 daily instances. They compared an instance from Oregon (of a previous year) and more complete topology Multi (a complete graph after some years Oregon was taken) to confirm whether behavior of Oregon predicts as Multi. Also, they modified probability distribution function with cumulative distribution function to get more realistic graphs. These graph uses the phenomena of “rich-gets-richer [9] ” and as a result
Show more

6 Read more

Show all 10000 documents...