Vorgänge bei der mechanischen Entwässerung

Batel, Wilhelm

doi:10.1002/cite.330260811

Cited by 15 publications

(7 citation statements)

References 1 publication

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“…Gleichung (32) stimmt mit dem Ansatz yon Batel [36] iiberein. Die Kriimmungsradien ro, r, und die H6hen Yo, Yu lassen sich dutch Winkel ausdrticken.…”

Section: Ein Neues Modell Fiir Die Zwickei-konturunclassified

“…(33) und der Wert f36 "COn G1. (36) ausgerechnet, die zun{ichst nicht gleich null sein werden. Durch Variation der Winkel i5 und ~, wird der Kleinstwert folgender Funktion aufgesucht f = V/Cf33)z+(f36) 2 .…”

Section: Ein Neues Modell Fiir Die Zwickei-konturunclassified

“…9 Bei f > 0 gibt es keinen Schnittpunkt yon G1. (33) und (36). Diese Ergebnisse wurden in den Bildern mit gestrichelten Linien eingetragen.…”

Section: Ein Neues Modell Fiir Die Zwickei-konturunclassified

“…For two above one another lying and two side by side lying particles as spheres or long cylinders the liquid contour was calculated bY different authors. Thereby the contact angle was only varied between 0 ~ and 90 ~ Here the model of Batel [36] for two side by side lying cylinders is extended. The advancing contact angle and the receding contact angle were used.…”

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Benetzung und Zwickelflüssigkeit bei zwei nebeneinander liegenden Zylindern

Stein¹

1999

Forsch Ing-Wes

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bei Forschung im Ingenieurwesen 64 (1999) 329-343 g Springer-Verlag 1999 zwei nebeneinander Zusammenfassung Die charakteristischen Gr6Ben fiir die Benetzung eines Feststoffes durch eine Fltissigkeit sind die Fltissigkeits-Oberfl~ichenspannung a', der Randwinkel und die Feststoff-Oberfl~ichenspannung a at. F/Jr diese drei dT Gr6t~en wird eine empirische Gleichung aufgestetlt, die EKoh auch fiir Quecksilber gilt. Zahh'eiche Mef~werte der drei EAdh charakteristischen Gr6f~en werden fiir 14 verschiedene F Werkstoffe yon Ftillk6rpern und Packungen zusammeng gestellt. F/Jr zwei ~bereinander und zwei nebeneinander G liegende Teflchen wie Kugeln oder lange Zylinder wurde krauh die Zwickel-Kontur yon verschiedenen Autoren berechnet. Ks~, Dabei wurde der Randwinkel nur yon 0 ~ bis 90 ~ ver~indert. Ap Das ModeU yon Batel [36] fiir zwei nebeneinander liegende r Zylinder wird hier erweitert. Dabei werden der Vorrtick-V' winkel und der R~ckzugswinkel benutzt. Das Model[ wird y ffir Randwinkel yon 5 ~ bis 175 ~ ausgewertet. Die Ergebnisse zeigen die Bedeutung der Benetzungs-Kenngr6ge g 0,5( 1 +cos O). O' ry / G H/ ~ySL '0 OR ~ra~ Wetting and liqukl at the point of contact of two side by side lying cylindersAbstract The characteristic properties for the wetting of a solid by a liquid are the liquid-surface tension o v, the contact angle ~ and the solid-surface tension f". For these three properties an empirical equation is developed, which is also applicable to mercury. Many results of various measurements of the three characteristic properties are collected for 14 different solid materials of packing elements and packings. For two above one another lying and two side by side lying particles as spheres or long cylinders the liquid contour was calculated bY different authors. Thereby the contact angle was only varied between 0 ~ and 90 ~ Here the model of Batel [36] for two side by side lying cylinders is extended. The advancing contact angle and the receding contact angle were used. The model was evaluated for contact angles between 5 ~ and 175 ~ The results shows the importance of the wetting property 0,5(I + cos 0).

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“…Gleichung (32) stimmt mit dem Ansatz yon Batel [36] iiberein. Die Kriimmungsradien ro, r, und die H6hen Yo, Yu lassen sich dutch Winkel ausdrticken.…”

Section: Ein Neues Modell Fiir Die Zwickei-konturunclassified

“…9 Bei f > 0 gibt es keinen Schnittpunkt yon G1. (33) und (36). Diese Ergebnisse wurden in den Bildern mit gestrichelten Linien eingetragen.…”

Section: Ein Neues Modell Fiir Die Zwickei-konturunclassified

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Benetzung und Zwickelflüssigkeit bei zwei nebeneinander liegenden Zylindern

Stein¹

1999

Forsch Ing-Wes

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“…1 Physical models of dewatering assuming a piston flow, 2,3 a film flow 4 and their superposition 5,3 provide a good theoretical description of experimental data obtained from experiments. Hultsch 6 and Stadager 7 investigated the combination of differential pressure and centrifugal field for an enhanced dewatering process.…”

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confidence: 99%

The influence of temporal cake moisture content on a discontinuous washing process in the centrifugal field

Ruslim¹,

Nirschl²,

Stahl³

et al. 2009

AIChE Journal

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In solid/liquid separation processes, filter cake washing is an essential step in improving the quality of particulate products by elimination of impurities. During cake washing and dewatering, the cake saturation changes depending on the flow conditions and it cannot always be measured and controlled accurately. This article deals with investigations on the influence of the initial and temporal cake saturation on washing PVC and silica sand particles in the centrifugal field. It was found, that high initial saturation levels and high maximum saturations during the washing process had a positive impact in inducing a high hydrostatic pressure for advective flow and enabling a homogeneous distribution of the wash water inside the cake. This was achieved by increasing the wash water flux and/or decreasing the g‐factor. A good method to obtain low final impurity quantity is the combination of washing at a low g‐factor and dewatering at a high one. © 2009 American Institute of Chemical Engineers AIChE J, 2009

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Drainage of packed beds in gravitational and centrifugal‐force fields

Nenniger

Storrow

1958

AIChE Journal

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The basic differential equations are developed for the prediction of saturation-time curves for the drainage of packed beds in either gravitational or centrifugal fields. The only mathematical solution existing at present, a series solution, is provided for these equations. A film drainage function is included to describe the movement of liquid along the surface of the particles when the main liquid level has passed through the pores of the bed. This method of analysis has been used successfully to predict the drainage of packed beds in a 9-in.-diameter hydroextractor. The important value of capillary suction head is best found from ancillary tests with Haines apparatus, but the value can be found with reasonable accuracy from the change in drainage rate as the liquid surface enters the upper surface of the packed bed. When these two rates are available; the permeability can also be found, and all the major variables are obtained from the drainage test on either the hydroextractor cake or the packed bed under gravity drainage.Previous work (35) dealt with the problem of the movement of liquid through hydroextractor cakes in a centrifugal-force field (16 to 21, 23, 24) whqn the interstices of the packed bed were filled with liquid. For analysis of a complete hydroextraction cycle, it is necessary to obtain the equations governing the flow of liquid from a packed bed under drainage conditions when the voids are not filled with liquid. It should then be possible to integrate these two hydrodynamic processes over the appropriate portions of the cycle under the accelerating or decelerating fields while the cake is formed, washed, and "whizzed". The preliminary study of the spin-drying of cakes (22) showed that cake deformations and liquid distributions reduced the value of analyses based on samples cut from the hydroextractor cake. The two major problems were to measure the moisture content of a cake during spinning without liquid feed and to derive appropriate mathematical forms for analyses of experimental data. The solution to this problem has been provided (31) in the form of a series solution until the integrated form of the saturation-time function is available. The analysis has followed the necessary steps to apply functions for the bulk drainage of full pores and the film drainage across the walls of open pores toward the saturation limit a t infinite time. This limit is set Vol. 4, No. 3by the capillary suction head retaining a column of liquid that fills the pores at the base of the bed and the permanent liquid held by surface tension in the menisci a t the interstitial contact points within the bed. The functions proposed have proved successful in both gravitational and centrifugal-force fields for a wide range of liquids and packed beds.

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Vorgänge bei der mechanischen Entwässerung

Cited by 15 publications

References 1 publication

Benetzung und Zwickelflüssigkeit bei zwei nebeneinander liegenden Zylindern

Benetzung und Zwickelflüssigkeit bei zwei nebeneinander liegenden Zylindern

The influence of temporal cake moisture content on a discontinuous washing process in the centrifugal field

Drainage of packed beds in gravitational and centrifugal‐force fields

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