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Tytuł:
Universal equations for Pythagorean and Sauter-type formulas of mean value calculation and classification of the Extended Pythagorean Means
Autorzy:
Drzymała, J.
Powiązania:
https://bibliotekanauki.pl/articles/88936.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Wydział Geoinżynierii, Górnictwa i Geologii. Instytut Górnictwa
Tematy:
average value
mean size
mean diameter
weighted mean
Opis:
A general equation, combining the Pythagorean and Sauter-type formulas, which can be used for calculation of a mean of a set of values is given and discussed in the paper. A classification of means, forming the Extended Pythagorean Means family, including power (arithmetic, geometric, quadratic, cubic, etc.), inverted power (harmonic, inverted quadratic, inverted cubic, etc.), and Sauter-type (volumesurface, volume-length, etc.) is presented. The calculated means, depending on their type, are different. Formulas for calculating mean values for a set of values treated individually, in groups and as a fraction (weighted mean) are also given.
Źródło:
Mining Science; 2017, 24; 227-235
2300-9586
2353-5423
Pojawia się w:
Mining Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of flotation reagents by normalization procedures
Autorzy:
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/109804.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
flotation
separation
foam
froth
frother
selectivity
efficiency
normalization
generic reagents
selective reagents
internal parameter
external parameter
Opis:
Froth flotation is a dynamic multiphase process in which particulate matter is separated with the help of chemical reagents by gas bubbles immersed in water. The original flotation results are usually presented in the form of kinetic curves relating recovered particulate matter mass (yield ) or mass of a selected component (recovery ), both shortly denoted as y, versus process time t at different concentrations c (g/dm3) of the applied reagents. The kinetic curves can be modified into three: incentive (maximum yield or recovery ymax vs c), limits (ymax vs kinetic constant k or specific rate) and half-life of flotation (t1/2 vs c) curves. The original and modified curves can be normalized by taking into account either an external parameter such as molecular mass (MW), critical coalesce concentration (CCC), critical concentration at the minimum bubble velocity (CMV), dynamic foaming index (DFI), and many other parameters or an internal parameter such as time, concentration needed to achieve certain yield, recovery (y) or kinetic constant. Normalization leads to new flotation curves and provides additional useful information about flotation performance. Normalization can be fully effective, partial or ineffective. Normalization of the original flotation kinetic curves usually is ineffective. Also, normalization of the incentive curve with external parameters such as frother molecular mass, which changes reagent concentration from c (g/dm3) to C (mol/dm3), is also ineffective. Partially effective are normalizations with other external parameters such as CCC and CMV, usually within the same class of regents, for instance alcohols. Only DFI seems to be a universal external normalization parameter for flotation results because it provides fully effective normalization and thus predicts the flotation results. Limited data on DFI restrict a full verification of this hypothesis. Normalization of the modified flotation curves with internal parameters such as k50 (value of 1st order kinetic constant when recovery or yield is 50% after a given flotation time), Ct1/2 (frother concentration in mol/dm3 at which the flotation half-life has an arbitrarily chosen value) and cy75 (frother concentration in g/dm3 at which recovery or yield is 75% after a given flotation time) is a good base for practical classification of flotation reagents.
Źródło:
Physicochemical Problems of Mineral Processing; 2018, 54, 1; 182-192
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arrheniusan activation energy of separation for different parameters regulating the process
Autorzy:
Drzymała, J.
Powiązania:
https://bibliotekanauki.pl/articles/109713.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
flotation
activation energy
separation
Gibbs potential
Arrhenius plot
Opis:
The Arrhenius model, that relates the activation energy with the kinetic constant and process temperature, was applied for flotation as a separation process, and next was extended to other incentive parameters such as the frother concentration, NaCl content and hydrophobicity. It was shown that determination of the activation energy caused by other incentive parameters (i.e. particle size, surface potential) was also possible. The units of the activation energy depend on the type of the separation process and incentive parameter. For contact angle regulating flotation the activation energy unit is mJ/m2, while for the frother concentration is J. It is known that instead in joules, the activation energy can also be expressed in J/mol and in kT or RT units, where k is the Boltzmann constant, R gas constant and T is absolute temperature in kelvins. Even though different formulas of the specific Gibbs potential were used for calculation of activation energy caused by various incentive parameters, there was generally a good agreement between the extend of changes of the first order kinetic constants of the process and activation energy value. It was found that for flotation of copper-bearing carbonaceous shale the activation energy was equal to 1.1 kT for NaCl as the incentive parameter, 3.0 kT for temperature and 32.7 kT for butyl diethylglycol ether used as a flotation frother. For methylated quartz the hydrophobicity-induced activation energy was 42 mJ/m2 for contact angle as the incentive parameter.
Źródło:
Physicochemical Problems of Mineral Processing; 2018, 54, 4; 1152-1158
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Professor Janusz Kazimierz Girczys, Ph.D., D.Sc. a tribute on his 80th birthday
Autorzy:
Laskowski, J.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/110427.pdf
Data publikacji:
2016
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Źródło:
Physicochemical Problems of Mineral Processing; 2016, 52, 1; 510-517
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interrelation of the fuerstenau upgrading curve parameters with kinetics of separation
Autorzy:
Bakalarz, A.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/109709.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
separation
upgrading
kinetics
Fuerstenau curve
beneficiation
recovery
selectivity
Opis:
It was shown in the paper that kinetic equations relating recoveries of two components in separation products and time, when combined together to eliminate the time parameter, provide mathematical equations which relate recoveries of the two considered components in concentrate. The obtained one-adjustable-parameter type equations are very useful for approximation of the separation results plotted as the so-called Fuerstenau upgrading curves. Most empirical mathematical formulas presently used for the Fuerstenau plots were derived using various kinetic equations while some are still awaiting for their kinetic derivation.
Źródło:
Physicochemical Problems of Mineral Processing; 2013, 49, 2; 443-451
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some remarks on attachment of a gas bubble to another phase both immersed in water
Autorzy:
Kowalczuk, P. B.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/110908.pdf
Data publikacji:
2016
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
hydrophobicity
aquaoleophobicity
contact angle
liquid film
attachment
Opis:
In this paper the importance of definition of hydrophobicity and aquaoleophilicity in terms of contact angle as well as the properties of water films in flotation and oil agglomeration were briefly presented. It was shown that the hysteresis of contact angle for a considered system depends on the way of measurement and geometry of the system due to the presence of other that excess pressure and capillary forces and buffering properties of the capillary force. It was suggested that, the measured advancing and receding contact angles should be, when possible, recalculated into the Young (rest, equilibrium) contact angle. It was discussed that quartz is not a good model of hydrophilic surface because its contact angle with a gas phase in water is not zero and that a spontaneous attachment between highly hydrophobic materials such as hydrocarbons and Teflon in dynamic system, such as flotation, does not occur.
Źródło:
Physicochemical Problems of Mineral Processing; 2016, 52, 1; 147-154
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zeta potential of Polish copper-bearing shale in the absence and presence of flotation frothers
Autorzy:
Peng, M.
Ratajczak, T.
Drzymała, J.
Powiązania:
https://bibliotekanauki.pl/articles/89095.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Wydział Geoinżynierii, Górnictwa i Geologii. Instytut Górnictwa
Tematy:
zeta potential
frother
flotation
shale
pH
isoelectric point
IEP
empirical equation
Opis:
In this paper, zeta potential as a function of pH of copper-bearing shale, which is mined in Poland by KGHM, was investigated. The measurements were conducted in water and aqueous solutions of selected flotation frothers. It was established that for investigated copper-bearing shale, after dispersion in water, the isoelectric point (IEP) occurs at pH=3.5. Addition of frothers decreased the IEP on the pH scale and the IEP for butanol was 1.93, for MIBC 2.90 and for eicosaethylene glycol hexadecyl ether (C16E20) 2.76. In the case of introducing frothers changed, the zeta potential becomes less negative. An empirical equation, having two adjustable parameters, was used in the paper to approximate the course of the zeta potential-pH curve. The equation showed a very good approximation of the zeta potential of the investigated shale either in water or frother aqueous solutions.
Źródło:
Mining Science; 2014, 21; 57-63
2300-9586
2353-5423
Pojawia się w:
Mining Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of frother type and dose on collectorless flotation of copper-bearing shale in a flotation column
Autorzy:
Kowalczuk, P. B.
Mroczko, D.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/109396.pdf
Data publikacji:
2015
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
flotation
hydrophobicity
frother
shale
flotation column
Opis:
In this paper the influence of nonionic (methyl isobutyl carbinol, tri(ethylene glycol) monobutyl ether) and cationic (hexylamine) frothers on flotation of copper-bearing shale in a flotation column was investigated. It was shown that naturally hydrophobic shale did not float in pure water but it floated in the presence of the investigated frothers. The real contact angle of shale, measured by the sessile drop method, was equal to about 40°, while its effective contact angle was zero when shale was floated in a flotation column in pure water. The investigated surfactants increased the effective hydrophobicity of shale from zero to 16±1, 22±1 and 33±2° for coarse, medium and fine particles, respectively. The calculations of the effective contact angle were based on a simplified probabilistic model of flotation.
Źródło:
Physicochemical Problems of Mineral Processing; 2015, 51, 2; 547-558
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kinetic separation curves based on process rate considerations
Autorzy:
Drzymala, J.
Ratajczak, T.
Kowalczuk, P. B.
Powiązania:
https://bibliotekanauki.pl/articles/110027.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
separation
flotation
kinetics
separation curves
process rate
Opis:
There are many graphical representations of separation results involving time as a crucial parameter determining the kinetics of a process. The graphical representations of results of separation are usually in the form of 2D plots relating two parameters which one of them is time. Time can also be utilized as a complex parameter such as a process rate. The plots involving time are called kinetic curves. Theoretically, the number of kinetic curves is infinite. The basic process kinetic curves, relating either yield (or recovery) and time can be modified to obtain numerous local and global efficiency curves. The global efficiency kinetic curves provide characteristic constants which do not change with the time and yield of a process. In this paper the local and global efficiency plots were created using experimental data which followed the so-called first order kinetics. It was shown that the integral 1st order kinetic equation provided the kinetic constant k which was numerically identical with the 1st order specific rate v, while their units were different (k, 1/min; v, %/(%·min). The global efficiency parameters plotted versus the maximum yield provided another type of plot, which can be called the limits kinetic curve. The limits kinetic curves are very useful for characterizing, quantification and classification of separation systems. The limits kinetic curves can be normalized providing one universal curve with a characteristic point, for instance, v50 indicating the specific rate (or kinetic) constant at the maximum recovery equal to 50%. The mathematical equation of the normalized limits kinetic curve was given in the paper.
Źródło:
Physicochemical Problems of Mineral Processing; 2017, 53, 2; 983-995
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure and surface energy of both fluorite halves after cleaving along selected crystallographic planes
Autorzy:
Janicki, M. J.
Drzymala, J.
Kowalczuk, P. B.
Powiązania:
https://bibliotekanauki.pl/articles/110167.pdf
Data publikacji:
2016
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fluorite
fluoride
surface energy
interfacial energy
cleaving
reorganization
surface ions
Opis:
The density functional theory, supported with a commercial software, was used to compute the geometry and surface energy of fluorite cleaved along the (111), (110) and (100) planes. In the case of cleaving a piece of fluorite along the (111) plane the two newly created surfaces are identical consisting of fluorite ions with the surface energy equal to 0.384 J/m2. Cleaving fluorite along the (110) plane also provides identical halves and, both contain one Ca ion next to two F ions, with the surface energy equal to 0.723 J/m2. When cleaving takes place along the (100) plane, it creates two corresponding halves with different surface structures. One half, having only surface Ca ions (100Ca) has the surface energy equal to 0.866 J/m2, while the surface energy of the second half, having only F surface ions (100F), is 0.458 J/m2. Different structures and energies of the corresponding fluorite surfaces, that is (100Ca) and (100F) planes, should have an impact on their chemical properties, including hydrophobicity expressed by contact angle. The calculations performed in the paper also showed that reorganization of fluorite surfaces after cleaving was insignificant for all of the investigated planes.
Źródło:
Physicochemical Problems of Mineral Processing; 2016, 52, 1; 451-458
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
In search of an efficient frother for pre-flotation of carbonaceous shale from the kupferschiefer stratiform copper ore
Autorzy:
Kowalczuk, P. B.
Buluc, B.
Sahbaz, O.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/109705.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
frother
pre-flotation
copper ore
shale
Opis:
This papers shows that frothers such as aliphatic alcohols (CnH2n+1OH), poly(propylene glycols) (HO(C3H6O)mH), poly(propylene glycol) alkyl ethers (CnH2n+1O(C3H6O)mH) and poly(ethylene glycol) alkyl ethers (CnH2n+1O(C2H4O)mH), can be used for collectorless flotation of a sample of carbonaceous copper shale manually separated from the Kupferschiefer stratiform copper ore. It was shown that flotation is influenced by the type and dose of frothers. The best flotation results were obtained with tri(propylene glycol) butyl ether C4P3, tri(propylene glycol) propyl ether C3P3 and tri(propylene glycol) P3. For these frothers, the yield vs. frother dose relationship was in the form of convex curves indicating that carbonaceous copper shale can float at relatively low dosages of the frother. It means that these frothers can be used for pre-flotation of carbonaceous matter from the investigated copper ore. Other frothers formed concave yield–frother dose relationships and were less effective.
Źródło:
Physicochemical Problems of Mineral Processing; 2014, 50, 2; 835-840
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flotation after a direct contact of flotation reagents with carbonate particles. Part 1, Model investigations
Autorzy:
Ahmed, H. A. M.
Aljuhani, M. S.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/109753.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
phosphates
flotation
microemulsion
separation Introduction
Opis:
Carbonate fluorapatite (francolite), calcite and dolomite separately, as well as their model mixtures, were subjected to flotation after conditioning the particles with microemulsion consisting of 20% of Custafloat AR27 (collector, blend of fatty acid soaps and sulfates), 55% fuel oil #5 and 25% water at 70% solids density and subsequent pulp dilution with water to 25% solids. The best separation of carbonate fluorapatite from calcite and dolomite occurred at pH 8.5 and microemulsion dose between 0.9 and 1.5 kg/Mg, 1.5 min conditioning time and 2 minutes of flotation time. The obtained flotation concentrates using 1.5 kg/Mg of collector contained 84% carbonate fluorapatite (34% P2O5) with 84% recovery. The 84/84 separation efficiency in terms of grade-recovery indices points to promising results which can be obtained for real phosphate ores.
Źródło:
Physicochemical Problems of Mineral Processing; 2013, 49, 2; 713-723
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Water contact angle on corresponding surfaces of freshly fractured fluorite, calcite and mica
Autorzy:
Kowalczuk, P. B.
Akkaya, C.
Ergun, M.
Janicki, M.
Sahbaz, O.
Drzymala, J.
Powiązania:
https://bibliotekanauki.pl/articles/110595.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
contact angle
surface properties
cleaving plane
surface composition
corresponding halves
fluorite
calcite
mica
Opis:
Advancing and receding contact angles of water with corresponding surfaces of freshly fractured calcite, fluorite and mica were measured. The corresponding surfaces were obtained by mechanical splitting of a small lump of each mineral into two pieces. Theoretical considerations revealed that depending on the mineral cleaving plane, surfaces created by splitting into halves can be either identical or entirely different as far as their surface chemical composition is concerned. It was experimentally established that receding and advancing contact angles measured on the corresponding surfaces of fluorite, calcite and mica were identical for the sessile drop method. When the contact angle was measured by the captive bubble approach, there were small differences in the contact angles measured on the corresponding surfaces of fluorite. It was most probably due to surface irregularities and roughness, and therefore different times needed to rupture the liquid film between the bubble and solid surface.
Źródło:
Physicochemical Problems of Mineral Processing; 2017, 53, 1; 192-201
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mobilization of aluminium under acid precipitation (a laboratory experiment) in the typical soils of the Wielkopolski National Park
Autorzy:
Walna, B.
Siepak, J.
Drzymala, S.
Powiązania:
https://bibliotekanauki.pl/articles/809132.pdf
Data publikacji:
1998
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
mobilization
aluminium
acid precipitation
laboratory experiment
typical soil
Wielkopolski National Park
pH value
Opis:
A laboratory simulation of acid rain was performed in which soil monoliths from the Wielkopolski National Park area were sprinkled with water solutions of sulphuric acid of pH 3.0 or 2.0, and for reference with distilled water of pH 5.6. The form and amount of the washed out aluminium as well as changes in the chemical properties of the soil studied were determined. The process of aluminium release proved particularly dangerous for acidic or slightly acidic soils which cover a large part of the National Park area.
Źródło:
Zeszyty Problemowe Postępów Nauk Rolniczych; 1998, 456
0084-5477
Pojawia się w:
Zeszyty Problemowe Postępów Nauk Rolniczych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Light alloys for application as engine parts – comparison of properties of three materials
Autorzy:
Ranachowski, Z.
Pawełek, A.
Drzymała, P.
Bonarski, J.
Lewandowski, M.
Ozgowicz, W.
Powiązania:
https://bibliotekanauki.pl/articles/360032.pdf
Data publikacji:
2014
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
hcp metals
aluminium and magnesium alloys
plastic deformation
mechanical twinning
crystallographic texture
acoustic emission
Opis:
This paper discusses the mechanical properties, microstructure and crystallographic texture of light alloys made on the base of aluminium, magnesium and lithium. An acoustic emission (AE) technique was applied to detect the moment of twinning or slip activation during compression and channel – die tests to extend the comprehension on the nature of the plastic deformation processes occurring in the investigated alloys.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2014, 39 (111); 128-132
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
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