On the hole theory of viscosity, compressibility, and expansivity of liquids

Weymann, Helmut D.

doi:10.1007/bf01499664

Cited by 95 publications

(39 citation statements)

References 2 publications

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“…From a knowledge of the cell constant the necessary correction to be applied for the unsteady state period was obtained from Equation ( 8 ) . In most cases this correction represented about 1% of the total time of diffusion ( 1 4 ) , so that the use of the above boundary conditions should not cause appreciable error.…”

Section: Methodsmentioning

confidence: 99%

Diffusion of gases in electrolytic solutions

1966

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Measurements of the diffusion coefficients of hydrogen and methane instrong aqueous electrolytes have been made with the use of the diaphragm cell method. The variation of the diffusion coefficients with electrolyte concentration, type of ion, and temperature hos been studied over the electrolyte concentration range zero to saturated, and for temperatures in the range f Calculated from data of McCall and Douglass (11 ) for self-diffusion taken as being the average of the values for hydrogen and methane.of water.

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Section: Methodsmentioning

confidence: 99%

Diffusion of gases in electrolytic solutions

1966

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“…In this case, all the Al 3+ ions are compensated by Ca 2+ ions; the remaining Ca 2+ , Mg 2+ and Fe 2+ ions participate in forming non-bridging oxygen, but can not break all the bridging oxygen. The numbers of different types of oxygen ions can be calculated following equations (6)(7)(8)(9)(10)(11)(12)(13). Calculate viscosity of this system with the optimized parameter in other systems, comparisons between the estimated values and those by experiments are shown in Figure 10, with the mean deviation 13.5%.…”

Section: Cao-mgo-feo-al 2 O 3 -Sio 2 Systemmentioning

confidence: 99%

“…The main object of modeling viscosity of aluminosilicate melt is finding a proper relation to correlate viscosity with composition and temperature. Generally, the temperature dependence of viscosity expressed by Weymann equation [13] , or Arrhenius equation [14] which is same as Eyring equation [15]. The Weymann equaiton is used by Riboud et al [1], Urbain [6], Kondratiev et al [7], Zhang et al [8], Ray et al [5] and Shu [9] etc; while the Arrhenius equation (or Eyring equation) is used by Iida et al [10], Nakamoto et al [4], KTH [3], NPL [2], and Shankar et al [16].…”

Section: Points Must Be Considered In Viscosity Modelmentioning

confidence: 99%

Viscosity model for aluminosilicate melt

Zhang

Chou

2012

J min metall B Metall

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The structurally based viscosity model proposed in our previous study is extended to include more components, e.g. SiO2, Al2O3, FeO, MnO, MgO, CaO, Na2O and K2O. A simple method is proposed to calculate the numbers of different types of oxygen ions classified by the different cations they bonded with, which is used to characterize the influence of composition on viscosity. When dealing with the aluminosilicate melts containing several basic oxides, the priority order is established for different cations for charge compensating Al3+ ions, according to the coulombic force between cation and oxygen anion. It is indicated that basic oxides have two paradox influences on viscosity: basic oxide with a higher basicity decreases viscosity more greatly by forming weaker non-bridging oxygen bond; while it increases viscosity more greatly by forming stronger bridging oxygen bond in tetrahedron after charge compensating Al3+ ion. The present model can extrapolate its application range to the system without SiO2. Furthermore, it could also give a satisfy interpretation to the abnormal phenomenon that viscosity increases when adding K2O to CaO-Al2O3-SiO2 melt within a certain composition range

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“…He deduced that one of these probabilities, P e , is related to the energy level of the potential. Urbain therefore used a statistical approach suggested by Weymann [70] to obtain an exponential-type equation for the viscosity. For the other probability, P v, denoted as the 'hole' probability, Urbain suggested that it is proportional to the concentration of the 'holes' given at T via another exponential function.…”

Section: A Brief Review Of Various Viscosity Modelsmentioning

confidence: 99%

Slag Behavior in Gasifiers. Part II: Constitutive Modeling of Slag

Massoudi

Wang

2013

Energies

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Abstract:The viscosity of slag and the thermal conductivity of ash deposits are among two of the most important constitutive parameters that need to be studied. The accurate formulation or representations of the (transport) properties of coal present a special challenge of modeling efforts in computational fluid dynamics applications. Studies have indicated that slag viscosity must be within a certain range of temperatures for tapping and the membrane wall to be accessible, for example, between 1,300 °C and 1,500 °C, the viscosity is approximately 25 Pa·s. As the operating temperature decreases, the slag cools and solid crystals begin to form. Since slag behaves as a non-linear fluid, we discuss the constitutive modeling of slag and the important parameters that must be studied. We propose a new constitutive model, where the stress tensor not only has a yield stress part, but it also has a viscous part with a shear rate dependency of the viscosity, along with temperature and concentration dependency, while allowing for the possibility of the normal stress effects. In Part I, we reviewed, identify and discuss the key coal ash properties and the operating conditions impacting slag behavior.

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On the hole theory of viscosity, compressibility, and expansivity of liquids

Cited by 95 publications

References 2 publications

Diffusion of gases in electrolytic solutions

Diffusion of gases in electrolytic solutions

Viscosity model for aluminosilicate melt

Slag Behavior in Gasifiers. Part II: Constitutive Modeling of Slag

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