scholarly journals EXPERIMENTAL AND THEORETICAL MODELING OF DIAMONDIFEROUS PLUMES

2019 ◽  
Vol 10 (2) ◽  
pp. 247-263 ◽  
Author(s):  
A. G. Kirdyashkin ◽  
A. A. Kirdyashkin ◽  
V. Е. Distanov ◽  
I. N. Gladkov

We consider thermochemical mantle plumes with thermal power 1.6·1010 W<N<2.7·1010 W (relative thermal power 1.15<Ka<1.9) as plumes with an intermediate thermal power. Such plumes are formed at the core–mantle boundary beneath cratons in the absence of horizontal free‐convection mantle flows beneath them, or in the presence of weak horizontal mantle flows. A proposed scheme of convection flows in the conduit of a plume with an intermediate thermal power is based on laboratory and theoretical modeling data. A plume ascends (melts out) from the coremantle boundary to critical depth xкр from which magma erupts on the Earth’s surface. The magmatic melt erupts from the plume conduit onto the surface through the eruption conduit. The latter forms under the effect of superlithostatic pressure on the plume roof. While the thickness of the block above the plume roof decreases to a critical value xкр, the shear stress on its cylindrical surface reaches a critical value (strength limit) τкр.Rock fails in the vicinity of the cylindrical block and, as a consequence, the eruption conduit is formed. We estimate the height of the eruption conduit and the time for the plume to ascent to the critical depth xкр. The volume of erupted melt is estimated for kinematic viscosity of melt =0.5–2 м2/с. The depth Δx from which the melt is transported to the surface is determined. Using the eruption volume, we obtain a relationship between the depth Δx and the plume conduit diameter for the above‐mentioned kinematic viscosities. In the case that the depth Δx is larger than 150 km, the melt from the plume conduit can transport diamonds to the Earth’s surface. Thus, the plumes with an intermediate thermal power are diamondiferous. The melt flow structure at the plume conduit/eruption conduit interface is determined on the basis of the laboratory modeling data. The photographs of the simulated flow were obtained. The flow line velocities were measured in the main cylindrical conduit (plume conduit) and at the main conduit/eruption conduit interface. A stagnant area is detected in the 'conduit wall/plume roof’ interface zone. The melt flow in the eruption conduit was analyzed as a turbulent flow in the straight cylindrical conduit with diameter dк. According to the experimental modeling and theoretical data, the superlithostatic pressure in the plume conduit is the sum of the frictional pressure drop and the increasing dynamic pressure in the eruption conduit. A relationship between the melt flow velocity in the eruption conduit and superlithostatic pressure has been derived.

Author(s):  
Ali Kheirabi ◽  
Amir Baghani ◽  
Ahmad Bahmani ◽  
Morteza Tamizifar ◽  
Parviz Davami ◽  
...  

Surface turbulence during the filling of the mold triggers the entrainment of oxide films, which appears to be detrimental to the soundness of the final casting. Nonpressurized and bottom-gating systems have been employed in order to avoid such casting defects by reducing the surface velocity of the liquid metal. However, recent studies have shown that the melt front velocity in the mold entrance may exceed the critical value in the nonpressurized and bottom-gating systems. Therefore, a study was conducted on numerical simulation melt flow pattern in nonpressurized and bottom-gating systems. It was noted that the liquid metal enters the gate and then mold cavity with a higher velocity by formation of dead zones and vortex flows in runner's end. Therefore, the current designs based on conventional gating system ratio seem to be not optimized and unable to avoid the surface turbulence. Numerical results were in complete agreement with experimental observations. Understanding the reasons for occurrence of the surface turbulence in nonpressurized and bottom-gating systems provides information on the required steps to improve the design of the gating systems and minimize the entrainment of oxide films during the filling of the mold.


Author(s):  
Jacques du Plessis ◽  
Michael Owen

Abstract As direct dry-cooling systems are becoming more popular for thermal power plants, there is a demand to increase the flexibility of the application and performance of these cooling systems. A novel hybrid (dry/wet) dephlegmator (HDWD) cooling system is being developed, and at this stage in the development of the HDWD, the performance analysis and optimization of the HDWD is currently subject to uncertainties in a number of parameters. One of the parameters is the confidence in the correlations to predict the steam-side pressure drop over the wide range of full to partial condensation conditions expected in the system as a result of the design. This study makes use of an experimental apparatus to measure steam pressure drop over a range of partial to full condensation inside a circular horizontal tube. The experiment is conducted by measuring the steam flow and steam pressure drop in a horizontal primary condenser tube with the presence of a secondary condenser tube. The primary condenser has a tube length of 2.5 m and an inside tube diameter of 19.3 mm similar to the proposed HDWD design. Existing correlations for pressure drop in condensing flow are compared with the results to assess the applicability of the correlations for the HDWD case. It was found that the correlation of Lockhart and Martinelli’s with the Chisholm parameter fits the experimental data the best with a mean error of ±15.6%. A parametric study also indicated that there is a prominent increase in the frictional pressure drop at low partial condensation ratios (i.e., high steam through flow) as expected with wave drag at the vapor and condensate interface due to the difference in velocity.


Author(s):  
O. Andreev ◽  
L. Zagrebelnaya ◽  
O. Kobets

The urgency of the work is due to the large use of modern industry centrifugal pumps for pumping viscous liquids. In the energy sector, this is the use of fuel oil and thermal power plants, mineral oils and oil and gas-based lubricants as reserve fuel, and so on.The use of the characteristics of centrifugal pumps for viscous substances requires their recalculation. These data show the relevance of the problem of recalculating the characteristics of centrifugal pumps for viscous substances.In the oil industry, thousands of centrifugal pumps operate at oil pumping stations and in oil refining processes.The conducted researches and the analysis of their results give the chance to control giving of the centrifugal pump in technological process of cracking of oil products on an example of application of ACS.Analytical researches of a technique of recalculations are given.The characteristic of centrifugal pumps by calculations of approximation coefficients by the method of least squares is given.The performed studies confirmed the theoretical data on the influence of liquid viscosity on the appearance of the characteristics of centrifugal pumps.Studies also show that a sufficiently high accuracy of calculations of characteristics from water to liquid is provided for high-speed pumps which are in the range n = 50–130, that is for low-speed and normal wheels of centrifugal pumps.With the improvement of fluid quality, the rotation of the wheel shaft deteriorates. Therefore, there is a need to have the characteristics of such pumps at different speeds. The construction of such characteristics is based on the theory of similarity of centrifugal pumps, from which the so-called proportionality formulas are obtained, which allow to list (Q–H) the characteristics of the pump when the speed changes.Bringing characteristics to the analytical form allows you to use the Ace feed control. The means of regulation by changing the speed provides a significant reduction in electricity consumption.These data show the relevance of the problem of recalculating the characteristics of centrifugal pumps for viscous substances.


2020 ◽  
Vol 11 (2) ◽  
pp. 397-416
Author(s):  
A. G. Kirdyashkin ◽  
A. A. Kirdyashkin ◽  
V. E. Distanov ◽  
I. N. Gladkov

The study is focused on thermochemical mantle plumes with intermediate thermal power (1.15 < Ka < 1.9). Previously we have shown that these plumes are diamondiferous. Based on the laboratory modeling data, the flow structure of a melt in a plume conduit is represented. A plume melts out and ascends from the core – mantle boundary to the bottom of the continental lithosphere. The plume roof moves upwards in the lithosphere because of melting of the lithospheric matter at the plume roof and due to the effect of superlithostatic pressure on the roof, which causes motion in the lithosphere block above the plume roof. The latter manifests itself by uplifting of the ground surface above the plume. As the plume ascends through the lithosphere, the elevation of the surface increases until the plume ascends to critical level xкр, where an eruption conduit is formed. In our model, plume ascent velocity uпл is the rate of melting at the plume roof. Values of uпл and the ascent velocity of a spherical plume roof due to superlithostatic pressure U are calculated. Relationships are found between these velocities and the plume roof depth. The dependence of the velocity of the surface’s rise on the dynamic viscosity of the lithosphere block above the plume is obtained. A relationship is determined between the maximum surface elevation and the lithosphere viscosity. The elevation values are determined for different times and different lithosphere viscosities.The results of laboratory modeling of flow structure at the plume conduit/eruption conduit interface are presented. The flow was photographed (1) in the plane passing through the axes of the plume conduit and the eruption conduit; and (2) in case of the line-focus beam perpendicular to the axial plane. The photographs were used for measuring the flow velocities in the plume conduit and the eruption conduit. Corresponding Reynolds numbers and flow regimes are determined. The relation of dynamic pressure in the eruption conduit to that in the plume conduit is found for intermediate-power plumes. The melt flow velocity in the eruption conduit depends on superlithostatic pressure on the plume roof, plume diameter and kinematic viscosity of the melt. Its values are determined for different kinematic viscosities of melt.


1994 ◽  
Vol 281 ◽  
pp. 313-318 ◽  
Author(s):  
D. D. Waterhouse

Oscillations of a tank at a near-resonant frequency have been shown to produce a response which changes from a ‘hard-spring’ to a ‘soft-spring’ response as the depth passes through a critical value. This paper investigates the transition region and it is shown, using a symbolic manipulator, that in fact the large-amplitude response is that of a soft spring on either side of this critical depth.


Nanoscale ◽  
2020 ◽  
Vol 12 (45) ◽  
pp. 23028-23035
Author(s):  
Artem R. Khabibullin ◽  
Alexander L. Efros ◽  
Steven C. Erwin

Theoretical modeling of wavefunction overlap in nanocrystal solids elucidates the important role played by ligands in electron transport.


Methodology ◽  
2006 ◽  
Vol 2 (1) ◽  
pp. 24-33 ◽  
Author(s):  
Susan Shortreed ◽  
Mark S. Handcock ◽  
Peter Hoff

Recent advances in latent space and related random effects models hold much promise for representing network data. The inherent dependency between ties in a network makes modeling data of this type difficult. In this article we consider a recently developed latent space model that is particularly appropriate for the visualization of networks. We suggest a new estimator of the latent positions and perform two network analyses, comparing four alternative estimators. We demonstrate a method of checking the validity of the positional estimates. These estimators are implemented via a package in the freeware statistical language R. The package allows researchers to efficiently fit the latent space model to data and to visualize the results.


2005 ◽  
Vol 432 (1) ◽  
pp. 181-187 ◽  
Author(s):  
E. Meyer-Hofmeister ◽  
B. F. Liu ◽  
F. Meyer

2015 ◽  
pp. 123-140 ◽  
Author(s):  
O. Koshovets ◽  
T. Varkhotov

The paper considers the analogy of theoretical modeling and thought experiment in economics. The authors provide historical and epistemological analysis of thought experiments and their relations to the material experiments in natural science. They conclude that thought experiments as instruments are used both in physics and in economics, but in radically different ways. In the natural science, a thought experiment is tightly connected to the material experimentation, while in economics it is used in isolation. Material experiments serve as a means to demonstrate the reality, while thought experiments cannot be a full-fledged instrument of studying the reality. Rather, they constitute the instrument of structuring the field of inquiry.


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