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Lance based copper-nickel matte converters have become an established technology in the field of base metal sulphide smelting and converting. An Ausmmelt® converter is currently being constructed at Anglo Platinum in South Africa to convert a nickel-copper rich matte containing platinum group metals (PGM's). The accurate prediction of the matte chemistry is required to control the composition at the endpoint which influences segregation of PGM's during the subsequent slow cooling and magnetic separation processes. A hybrid modelling approach is introduced in this paper that incorporates both the effect of thermochemistry and system dynamics. It will be shown how the model relates to fundamental conservation laws, while still providing enough flexibility to adapt to changing operating conditions. It will also show how off-line modelling can be incorporated into a robust on-line model. Based on the data from many pilot plant trials, the model prediction performance is shown to be within the accuracy requirement set by industry and therefore constitutes a reliable basis for model based control. The final generic model structure takes on the form of an thermodynamically integrated ARMAX hybrid model. The final model has the advantages of being dynamic, adaptive, robust and it can be related to thermochemical fundamentals.

Jan 1, 2002

By Daniel Kim, Justin McAllister, Shijie Wang

"At the Kennecott Utah Copper Refinery, impurities in the electrolyte are being precipitated in the circulation system and form a hard scale in the piping. This scale must be removed periodically for proper electrolyte flow. Distinct layers of differing composition form as the operating conditions of the tank house change. Scale samples from the inlet and outlet pipes were analyzed to discover the nature of the precipitates. Each sample was sectioned and examined under optical microscopy and SEM. The composition of the scale was analyzed using ICP, XRD, and SEM/EDX mapping. The rate of deposition was determined by measuring the amount deposited on new pipes after elapsed time intervals. In order to determine how to minimize the formation of the scale, the mechanism was studied and the results are presented in this paper.IntroductionIn copper electrorefining, impure copper anodes are refined into pure copper cathodes. The impurities from the anodes are either insoluble and report to the slimes or soluble and dissolve concentrating in the electrolyte. These impurities are controlled by bleeding electrolyte from the system. Over time, the impurities combine to precipitate a hard scale on the surfaces contacted by the electrolyte. The scale causes problems with tank house circulation systems. In order for the refinery to operate properly, the scale must be removed periodically from the walls of the pipes. The first step to control the buildup of scale on the pipes is to understand the composition and the phases that are present in the scale."

Jan 1, 2012

By Zhang Libo, Wang Xin, Peng Jin-hui, Ju Shaohua, Guo Sheng-hui, Xu Lei, Huang Meng-yang

"China is lacking high grade titanium ores. This work intends to leach impurities such as Fe, Ca and Mg from a low grade titanium ore, to increase the grade. The original material contained 65% TiO2 , 16.12% Fe, 9.4% CaO + MgO, 4.2% SiO2, 1.25% A12O3, and the particle size is between 0.053-0.045mm. Microwave energy was used to enhance the leaching effect. The results showed that when normal heating was used to leach the mineral, the extraction of impurities Fe, Ca and Mg was very low. However, when microwave energy is introduced, the extraction of Fe, Ca and Mg increased dramatically. The optimized conditions are: relative power 5W/g, the ratio of concentrate to HC1 isl5%, leaching at 160°C for 20 min with a ratio of liquid to solid 12:1 mL/g. The material obtained under these conditions contains 92.73% TiO2, 0.207% Ca + Mg, 0.8% Fe, with 94.6% Ti recovery. The poduct meets with the quality for boiling chlorine.IntroductionThe resources of titanium are very abundant, and are distributed all over the world. There are almost 140 minerals containing TiO2 with a content of more than 1%. However, there are only several minerals which can be used for producing sponge titanium. They are mainly rutile and ilmenite. The grade of nature rutile concentrates is higher than 95% TiO2, and it is a high quality raw material. But the resources of nature rutile are relatively low; after mining for many years, its resources are exhausting gradually. Although ilmenite reserves are great, ilmenite cannot be used as a raw material because of its low content of TiO2, only 45-70%; also it has a high impurity content of Ca, Mg and Fe. In these years, there is a tendency for titanium industry to use high grade concentrate."

Jan 1, 2012

By Yoshiyuki Matsui

As one of the factors of frequent troubles on iron-making blast in recent years, increased size of the blast furnace and high-productivity operation are pointed out. Consequently, great importance is attached to deadman shape and solid flow at the lower part of furnace. In the present study, firstly, the blast furnace raceway formation under the intensive coal injection by measurement of micro wave reflection gunned through a tuyere is discussed. As the flow rate of coke as the momentum of coke into raceway decreases by combustion of coal injected into tuyeres, the depth of raceway defined as the maximum position of micro wave reflection is easy to contract. It is expected that this new technology could detect the raceway collapse phenomena in short time and that the stability of raceway in coal injection is different from that in all coke operation. Secondly, the reduced stockline surface profile was measured by the reflection intensity of microwave struck from the furnace top after blow-off with stockline reduced, and investigation was made on the countermeasures for changes in the raceway depth and furnace body profile during operation. As a result, it has been clarified that flow-down of coke into the lower part of blast furnace and inflow into the raceway are greatly subject to the existence of deadman which is the packed structure of the lower part of furnace, and further, they are closely related to dynamic behavior of the raceway, and affect changes of the furnace body profile.

Jan 1, 2006

By O. Tiitu

Drying is a unit process that has numerous applications in metallurgical process industry. Kumera Technology Center is a worldwide equipment and process supplier, who has expertise on both direct and indirect drying. In a conventional direct heated dryer, the required energy is obtained from combustion of fossil fuels emitting a considerable amount of off-gases. However, thermal energy can be already available in some metallurgical plants such as modem copper smelters where steam is produced by waste heat boilers of flash smelting furnaces. The total volume of off-gases, and especially the amount of harmful gases, released into atmosphere can be remarkably reduced when using steam as an indirect energy source for drying. Kumera Technology Center has developed a new type of steam dryer for drying of, for example, abrasive copper concentrate with silica sand. In the development of the new dryer, Kumera's approach has been to combine the best properties of both the existing steam dryers and the rotating drum dryers. In the design, special attention has been paid to overcoming the reported problems of excessive wear and clogging of steam tubes and to reducing the required maintenance operations. The Kumera Steam Dryer, having a patented flexible steam tube arrangement inside the rotating shell, has a high effective heating area - drum volume ratio without leading to problems with build-up and clogging. It can also be easily scaled up so that a single dryer can dry all of the feed for a large flash furnace. In this paper, we will present the operational and maintenance experiences from two years operation of the first full-scale Kumera Steam Dryer at Norddeutsche Affinerie Aktiengesellschaft in Hamburg, Germany. We will also provide an overview of the future developments with respect to construction and scale up as a response to market demands.

Jan 1, 2002

By V. K. Handa

Sterlite Industries (I) Ltd. started its copper smelter in 1996 and worked through the common problems associated with smelter start-ups. Specific issues in the converter area included converter blower IGV problems, punching machine reliability, converter spitting, back collar burning, ,and short converter campaign life. With a very young and dedicated team of engineers and technicians, smelter management assigned teams of three to four members to work scientifically and systematically through each major problem area to recommend and implement appropriate solutions. The converter mouth was redesigned with respect to tuyere and metal height to eliminate spitting and back collar burning. The air line was changed in places to reduce the pressure drop. A new back-up compressed air line and vessel was installed to prevent tuyere blockage in the event of a blower trip or power failure. The converter mouth liners and bricking around the mouth was modified to eliminate metal leaking through the pouring lip Modifications to the punching machines were made to address specific problems and preventative maintenance practices were further streamlined and reinforced to ensure 100% availability of hot metal cranes, converter blowers, punching machines, and ID fans. Matte availability and matte temperatures were improved by streamlining the upstream ISA and Rotary Holding furnace areas. Implementation of a detailed training program for the converter operators significantly improved the operation and morale. Water-cooled double hoods and a third converter were installed as part of the smelter modernization plan. The new hoods dramatically improved hygiene in the crane aisle while the addition of the third converter posed new challenges for the same motivated group of crews with respect to flip flop operation to keep the idle converter hot and to maximize in-stack time, managing crane/ladle logistics, and managing revert generation. This paper describes the converter operation's journey from the initial days of long blowing times and large revert accumulations to present operations with two converter flip flop operation, and also describes the team work, constant focus on increasing productivity and reducing costs, and benchmarking.

Jan 1, 2002

By Sergio Bustos

Covellite resulting from an original 0.5 % Cu(tot) chalcocite ore has been leached in columns at different temperatures, in the lower range of 10 - 20 °C, under acid - ferric bacterial leaching conditions. Dissolution of copper from covellite depends on the rate and extent of sulphide oxidation by ferric ion. While it is recognised that the dissolution of sulphide minerals is electrochemical in nature, an apparent chemically controlled dissolution pattern was measured with activation energy of 78.09 kJ/mol (18.66 kcal/mol). Ferric iron is the main oxidant and its production and availability will depend on the bacterial activity developed in the system. This activity is characterised by the population size and by the specific oxidation rate of the bacteria. Bacterial growth was followed directly by the number of bacteria appearing in the column effluent solutions and indirectly by the generation of ferric iron or by the total oxidation observed in the columns. These results have been interpreted by using the heap oxidative capacity parameter, which indicates an equivalent ferric production of about 0.07 - 0.15 kg Fe +3/t/day at 20°C. Although bacterial activity decreases to about 0.03 kg Fe +3/t/day with decreasing temperature, a significant bacterial oxidation is still observed at 10 °C. However, extended lag times are observed, which delay the start of bacterial growth to times concurring with covellite leaching. Under these conditions, bacterial activity is displayed through a population controlled by the rate at which- ferrous iron is released from the reducing covellite surface. These results suggest the potential benefit of including some kind of inoculation when operating at lower temperatures. Also, heat loss control and/or heat addition to the heaps should be considered during process design and operation of ferric bacterial heap leaching of secondary copper sulphide ores at temperatures lower than 20°C.

Jan 1, 1999

By Michael Stelter

Lead alloys are a typical material for anodes in technical electrowinning processes. The life time of those anodes differs from 2 years to more than 5 years in tankhouse practice depending on the type of alloy, the mechanical damaging and last but not least the chemical corrosion in the electrolyte. Different types of alloys, such as PbSb, PbCa, PbAg, PbSnCa or PbAgCa have been developed and used in the past, their rate of corrosion being more or less a philosophic discussion. Comparable investigations on the corrosion behavior in dependence of the concentrations of alloying metals, the grain structure and the mechanical and thermal treatment during production have not been conducted before. In the last years the Institute for Nonferrous Metallurgy and Purest Materials of the TU Bergakademie Freiberg investigated the corrosion behavior of the typical lead alloys for metal electrowinning under comparable conditions. Correlations between different alloys, mechanical treatments like rolling or thermal treatment like annealing to the rate of corrosion were made, leading to the conclusion that grain structure and grain size are of eminent importance for the rate of corrosion in technical electrolytes. From these results new and optimized lead alloy anodes can be produced with an increase in life time of the factor 3 ? 5. The optimized lifetime in terms of corrosion stability can not protect from mechanical damaging in tankhouse practice, but with a careful practice the increase in lifetime can save a lot of money and problems.

Jan 1, 2006

By D. I. Chalmers

The Brockman rare-metals and rare earth resource is located within volcanic and volcanogenic sediments of the later Proterozoic Halls Creek Group in the East Kimberley region of Western Australia. Exploration including surface trenching, percussion and diamond drilling has defined a major resource of rare-metals and heavy rare earth elements. The host&apos; is a steeply dipping ash-flow tuff, described informally as the Niobium Tuff, enriched in zirconium, hafnium, yttrium, niobium, tantalum, rare earth elements, gallium and beryllium. The mineralization is fine- grained (<20 micrometres) and is the result of alteration and re- mobilization of comparatively simple precursor minerals such as columbite and zircon by fluorine-rich deuteric solutions that were retained in the tuff following eruption. The ultra fine-grained structure of the tuff precludes mineral liberation and separation by physical methods. However, values can be converted to water soluble sulphates by reacting with concentrated sulphuric acid at 250°C. The solution containing aluminium, niobium, tantalum, zirconium, hafnium, yttrium, rare earths and gallium can then be processed to pure products in a sequence of solvent extraction and ion-exchange steps. As a result of these processing techniques, the commercial products obtainable from the resource include mixed rare earth and yttrium concentrates, zirconium-hafnium concentrate, niobium-tantalum concentrate and ceramic grade alumina. Further separation could result in high purity products suitable for ceramic and electronic applications.

Jan 1, 1992

By Richard Hollis

The Mount Isa copper smelter was expanded in 1998 to a capacity of over 250000 t/y anode copper. This tonnage will be produced from a single stream consisting of an Isasmelt smelting furnace, and four Peirce-Smith converters - one of which was installed as part of the expansion project. During the course of the expansion project Mount Isa Mines Limited (MIM) signed an agreement with WMC Fertilizers Ltd (WMCF) to supply sulphur containing smelter gases over the fence to a new sulphuric acid plant to be built by WMCF. This will result in a further increase in copper production by reducing the time when smelting is curtailed by Air Quality Control restrictions. As well as the need to modify the primary gas system to connect to the acid plant, the hoods and crossover ducts and their support structures on the original three converters required replacement, and secondary ventilation was also needed to improve converter aisle hygiene. Each of these areas was addressed by the project. Preliminary ideas for carrying out the modifications were found to have a serious impact on converter aisle operations, and would have led to a production loss of over 50000 tonnes of copper. Following benchmarking in other copper smelters, a suitable construction plan was developed and carried out to minimise this loss. This paper describes the methodology and construction plan adopted.

Jan 1, 1999

By Ricardo Morales

Reactions between solids and a gas phase have many interesting theoretical aspects as well as technological applications. The present group had carried out experimental investigations as well as theoretical studies of a number of gas-solid reactions over the past decade and was able to derive interesting results. Studies of the decomposition of alkaline earth carbonates were carried out by thermogravimetric analyses. The experiments were carried out using thin powder beds as well as iso-statically pressed compacts with thermocouples embedded in the same. The investigations revealed the complexity of the reactions and the impact of the heat- and mass transfer aspects on the reaction kinetics. In the case of BaCO3, the kinetics of decomposition was complicated by the formation of a liquid phase. In the case of SrCO3, the reaction kinetics could be simulated by theoretical modeling. Gas-solid reactions were also employed as a versatile process tool towards the production of alloys and intermetallics involving transition elements by hydrogen reduction of complex oxides involving transition metals. Thin powder beds were employed to examine the micro-kinetics, while fluidized bed technique was utilized to produce bulk alloys. Preliminary correlations could be drawn between the thermodynamic stabilities of the oxides and the activation energies of chemical reduction steps. Adjusting the process parameters, products at nano-scale could be produced. The structural, mechanical and thermal properties were investigated in the case of these products. The potentialities of this method as a green route to produce industrially important alloys and intermetallics with unique properties are demonstrated.

Jan 1, 2006

By Emily Chen, Randolph Kirchain, Gabrielle Gaustad

"As prices and demand for aluminum metal have increased over the past few years, secondary production has begun to outpace primary aluminum production. However, while recycling of packaging and automotive scrap has continued to increase, aerospace secondary materials remain a largely untapped resource. Shredded or co-mingled aerospace scrap has a high degree of compositional uncertainty due to the prevalence of high copper and high zinc alloy series. Although it is clear that upgrading strategies enable increased usage of aerospace scrap, it is not clear that they would be economic or efficient. Previous studies by the authors have shown that modeling techniques, specifically chance-constrained optimization, provide the ability to evaluate upgrading options in terms of potential aerospace scrap utilization and production cost. Three specific cases are analyzed: a dismantled case, a sorted case, and a shredded or co-mingled case; sensitivity analysis of resulting compositional uncertainty is also presented.IntroductionAluminum recycling has a number of key environmental and economic benefits. Secondary recovery forestalls depletion of non-renewable resources and avoids the deleterious effects of extraction and winning (albeit by substituting some effects of its own). For most metals, the latter provides strong motivation for recycling; for light metals, like aluminum, the motivation is compelling[1]. Fortunately, as prices and demand for aluminum have increased greatly over recent years, secondary production has begun to outpace primary production (Figure 1). However, while the recycling rates of many aluminum products such as used beverage cans and cars have increased over this period, aerospace secondary materials remain a comparatively untapped resource.This untapped resource for scrap aluminum is a very large one; aluminum is the primary aircraft material comprising about 80% of a planes unladen weight[2]. It is used extensively for airframes, landing gear, engine components, propellers, and interior trim. A standard Boeing 747 jumbo jet, for example, contains approximately 75,000 kilograms of aluminum[2]. At an approximate rate of 300 per year, more than 6,000 civil aircraft are forecast to arrive at end-of-life in the next 20 years, potentially creating a large aerospace scrap market[3]. Many military aircraft are already available for possible scrap use, however, most are currently in storage at air force bases around the world[4]. The underutilization of these aerospace scrap materials indicates a lack of economic end-of-life options."

Jan 1, 2008

By Mingming Zhang

This paper describes the aluminum electrowinning in a batch recirculation cell system using 1-hexyl-3-methylimidazolium chloride and aluminum chloride (ionic liquids) as electrolyte at low temperatures. The technique proposed to deposit aluminum from ionic liquid electrolyte was a three-component electrolytic cell system. Ionic liquid electrolyte was circulated between electrolytic cell and electrolyte reservoir by ceramic piston pump. Two different anodes were used in the electrowinning and it was found the extruded carbon anode had better electrochemical stability and reusability. The cell performance variables studied were the current density and current efficiency as a function of aluminum ion concentration, electrolyte flow rate and applied cell voltage during batch recirculation operation. Results indicated that the current density was directly proportional to the applied cell voltage, initial electrolyte concentration and electrolyte flow rate. Under batch recirculation operation at applied voltage of 3.5 V and temperature of 80-90°C, 80-90% current efficiency of cathodic aluminum deposition can be achieved when flow rate is 20mL/min and initial concentration is 10 mol/L.

Jan 1, 2006

By Robert W. Hyers

Electromagnetic levitation has proven important in a wide range of experiments, all affected by fluid flow. For some experiments such as viscosity measurements, only whether the flow is laminar or turbulent must be established. For other experiments, however, quantitative assessments of velocity, shear stress, or shear strain rate are required. In most cases it is difficult or impossible to measure the internal flow in levitated droplets directly. The samples are usually small, opaque, reactive, high-temperature, metastable, or all of these. Furthermore, recirculating flow limits the utility of tracking surface particles, since they collect in stagnation points ratherthan following the flow. Most research groups have chosen mathematical modeling to assess the internal flow in levitated droplets. A variety of analytical and numerical methods have been applied, including both laminar flow and various turbulence models. A number of these models are reviewed and their impact on different containerless experiments is assessed. Much of the research reviewed here was performed by alumni of Professor Julian Szekely, and by others using similar methods.

Jan 1, 2006

By Luciano B. Oliveira, Luis G. C. Marques, Sergio N. Monteiro, Marcos V. M. Fagundes

"Biodiesel production is normally associated with large plantations of oily vegetables such as soybean and colza, in large rural areas. However, in the municipal limits of the city of Rio de Janeiro, southeast of Brazil, biodiesel is being produced from wastes commonly generated by typical urban activities such as sewage sludge, discarded fat from meat markets and post-used cooking oils. In the present work, the experience of producing biodiesel from urban wastes in Rio de Janeiro is assessed. The type of precursor materials, equipments and logistics are presented. The environmental and economical advantages as well as the drawbacks are discussed.IntroductionThe interest for a liquid fuel that could substitute those obtained from petroleum started more than one hundred years ago when Rudolph Diesel tested his no-spark internal combustion engine, impelled by compression, with peanut oil. By that time, petroleum was beginning to be extracted in large scale and no one was concerned with the future environmental problems and its eventual depletion. In the last century, the successful association of petroleum based fuels with the automotive industry was an almost insurmountable obstacle to any attempt to use nonmineral oils [1]. In addition to the greater efficiency and, by then, lower price of the diesel from petroleum, the use of plain vegetable oils introduced undesirable carbon deposits and reduced the engine lifetime. Today, the situation is reverse. The continuous increase in the price of petroleum and, above all, its contribution to climate changes are strongly motivating the use of biofuels to replace those obtained from fossil fuels such as petroleum, natural gas and coal [2].In the case of the common petroleum derived diesel, many countries are now engaged in large scale substitution programs. The USA should produce more than 700 million litters of biodiesel, while the European Community is expected too produce around 6.5 billion litters in 2008. In Brazil, the federal biodiesel program imposed a minimum of 2% addition to the common diesel. This would demand a production of 800 million litters in 2008 [3]. The Brazilian biodiesel is made from a diversified source of vegetables mainly castor bean, African palm and soybean. The main producers are agrobusiness firms located in large rural areas of the Brazilian hinterland [4]."

Jan 1, 2008

By Guillermo A. Vidal

With the introduction of monitoring technologies, process computers and Web services on Industrial Facilities the need for electrolytic processes automation has been set. Recently designed facilities have substantially improved plant layouts, automated cathode processing and copper harvesting. Despite these advancements only limited progress has been accomplished on the electric current distribution of the process. Lately a number of proposals focused on preventing short circuits and balancing cathode currents have emerged. Among these are the AZSA intercell, the Outokumpu double contact, and the Optibar InterCell Plus. Although these intercell bars are clearly superior to the conventional bar, little or conflicting data is available about their merits relative to each other. Consequently, selection of the best intercell bar for most applications is accompanied by uncertainty, which can lead to less than optimum results. A critical evaluation of the performance of the aforementioned bars on the basis of the application is provided, thereby giving the framework and guidelines for the selection of the best bar for each application.

Jan 1, 2003

This symposium is dedicated to the lifetime achievements of Professor H.Y. Sohn. It covers the scientific fields, processing routes and investigation techniques in which Prof. Sohn has worked during his career and is based in the equally important three topical areas: Principles, Technologies, and Industrial practice. Professor Sohn was General Chair of the very first TMS Fall Extraction and Processing Symposium in 1983 in San Francisco which led to the Annual such symposia as this International symposium. Furthermore, the theme of that symposium was sulfide smelting, which is also included in this symposium. [ ] Professor Sohn was born in a beautiful dynastic capital Kaesung, Korea on August 21, 1941. He received his B.S. degree in 1962 from Seoul National University, M.Sc. in 1966 from the University of New Brunswick, Fredericton, N.B., Canada, and his Ph.D. degree in 1970 from theUniversity of California at Berkeley all in Chemical Engineering. After working as a Research Associate at the State University of New York at Buffalo and as a Research Engineer at Du Pont?s Engineering Technology Laboratory, Dr. Sohn joined the Department of Metallurgical Engineering at the University of Utah in 1974 and currently holds the ranks of Professor of Metallurgical Engineering and Adjunct Professor of Chemical Engineering.

Jan 1, 2006

By Gunther Klamp

Disposal of arsenic compounds from washing acid in metallurgical plants is becoming a severe problem when using lime neutralization. A further problem is the disposal of relatively large quantities of gypsum which is produced during this neutralization step and which Is also conta-minated with other toxic metal compounds. The Sachtleben-Lurgi process removes arsenic and other metals from washing acid in the form of insoluble sulphides. The purified acid contains less than 0.5 ppm of arsenic and can be used for standard sulphuric acid applications. The process Is demonstrated commercially at Sachtleben&apos;s acid plant since more than five years.

Jan 1, 1992

By N. E. Ablesimov

Electron probe X-ray microanalyser of a coating deposited with "Elitron¬22A" electrospark alloying (ESA) set (anode - Cr, base-catode - chrome vanadium steel) has shown that the zone of phase forming can be divided into three parts: the coating itself, diffusion zone and a thermal affection zone in the base material. Waves of iron and chrome concentrations have been found in the diffusion zone. The authors interprete them as a phenomenon of substance self-organizing in the 30 pill deep diffusion zone, characterized by a change of compositions during the transfer of material from the coating to the base: coating - 20 µm (FeCr2), diffusion zone - 30 µm (Fe3Cr, FeCr, Fe4Cr, Fe2Cr), base - steel (Fe - 87 %, Cr - 12 %, V - I %). This ESA phenomen has been noted for the first time. It may be relative to the phenomenon of periodic formation of secondary products during the mutual diffusion of reacting substances in the case of a one-way reaction. Similar regular structures may appear in the diffusion zone during ESA of vanadium steels with vanadium, manganese steels with manganese and so on.

Jan 1, 1999

By Hua Hou, Xiaofeng Niu, Wei Liang

"The explicit finite difference (EFD) method is used for calculating the casting temperature field during solidification. Because the time step is limited, the computational efficiency of the EFD method is lower. In order to improve the computational efficiency, a fourth-order in space and second-order in time model based on the equivalent specific heat method and the alternating direction implicit (ADI) method is established. The degree of similarity between the simulation results and the experimental results is analyzed. The results show that the simulation results of this high order mathematical model are close to the experimental results.IntroductionThe 3D heat transfer equation of temperature field during solidification process is as the following: [1-3]."

Jan 1, 2013