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By Frank E. Woolley, John F. Elliott

Mathematical models of the transient thermal behavior of a high-temperature solution calorimeter1-3 have been developed. The thermal behavior of the calorimeter is appoxirrzated by linear lumped-parameter models, and hence is described by sets of linear ordinary differential equations with constant coefficients The response of the models to various inputs is shown to agree with the response of the real system. Application of the modeling to experimental design and analysis of data illustrates the usefulness of simple models of complex systems. The early eperiments1,2 with the high-temperature solution calorimeter indicated that the change in the temperature of the bath resulting from the addition of a solute sample to the bath involved not only the direct effect due to the solution process but also possibly a secondary effect arising from the change in coupling between the bath and the induction heating coil. Consequently, an extensive analysis of the calorimeter was carried out, and models of the transient thermal processes of the instrument were developed to aid in improving the design and interpreting the behavior of the system. This paper describes the dynamic modeling; the use of it in treating experimental results has been reported earlier.3 The high-temperature solution calorimeter was constructed to measure directly the partial molar heats of solution of solute elements in a variety of liquid metal solvents.1-3 The calorimeter consists of an induction-heated liquid metal bath into which small samples of a solute element can be dropped. The bath temperature is recorded continuously, and the change in the measured bath temperature with time, dTm = f(t), resulting from the solute addition are the raw data from which the enthalpy change caused by the addition is determined. To extract the rmodynamic results from the data, the temperature change must be compared with that resulting from calibration additions of known enthalpy change. Accordingly, it is necessary to understand the transient thermal processes arising as a result of the addition to the bath. Neither modeling nor experimentation alone could provide the required insight into the working of the calorimeter. The alternate use of both methods in conjunction greatly assisted the design of the equipment and experiments, and the interpretation of the data. THE PHYSICAL CHARACTER OF THE SYSTEM The essential parts of the calorimeter, Fig. 1, for model studies are the thermocouple, the liquid metal bath and the surrounding refractories. The system is the solvent metal bath and those refractories around it which undergo a temperature change as a result of an addition to the bath, and which determine the way the temperature of the bath responds to an input. The inputs are the combined transient thermal effects arising when an addition is made to the bath. They include the thermal effects of the addition itself and the results of changed coupling between the bath and the induction coil. The response is the variation in the measured bath temperature, dTm(t) = Tm(t) - Tm(O), from an initial steady state resulting from the inputs. It was assumed in this study that the physical properties of the various elements of the system are independent of the inputs and time, although these properties may vary as the result of changes in the composition and size of the bath during a series of additions. This separation of inputs and the system is equivalent to assuming that the system is linear, i.e., that its behavior can be described by linear differential equations with constant coefficients. Linear behavior can be expected whenever the departure of each portion of the system from its steady-state condition is small enough to cause negligible changes in the thermal properties of the materials and in the various heat-transfer coefficients. Radiative heat transfer is important in this system, so the assumption of linearity should be valid only for small temperature deviations. Several conclusions were drawn from operation of the calorimeter in earlier experimental studies: 1) Radiative heat transport from the top of the bath is a significant portion of the total heat lost from the bath. However, for small changes in the bath temperature the change in transport by this path could be assumed to be proportional to the change in the bath temperature. 2) A very small portion of the heat input is lost through the thermocouple to its water-cooled holder. The thermal resistance and thermal capacity of the thermocouple protection tube are small, so the temperature of the thermocouple should follow closely that of the bath. 3) The remainder of the total heat lost from the bath will pass by conduction through the crucible to, and through, the other refractories, eventually being absorbed by the water-cooled induction coil or by the water-cooled sides and bottom of the enclosure. 4) The thermal resistance between the bath and crucible is very small. Thus the thermal capacity of the crucible will affect the temperature of the bath very soon after an addition of heat to the bath. 5) The thermal resistance between the crucible and the silica sleeve is large, especially if a radiation shield is placed in the gap. The effect of the thermal capacity of the sleeve thus will be significant only at longer times. The thermal resistance through the packing below the crucible also is large, so the packing and the silica sleeve will have similar effects on the behavior of the system. 6) A large temperature drop exists across the gap containing the water-cooled induction coil. Thus for relatively small changes in the thermal input to the bath, the refractories beyond the sleeve

Jan 1, 1970

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Jan 1, 1938

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Jan 1, 1938

By Tsuyoshi Miyashita

Onahama Refinery of Ryoho Recycle Company employs the electrothermic process for producing marketable zinc oxide from steelmaking dusts. The process comprises washing, filtration, drying, sintering and furnacing. Fume from the sinter machine is treated hydrometallurgically to recover zinc, cadmium and lead.

Jan 1, 1976

Page Foreword—H. Foster Bain........................ 9 Letter of Transmittal—F. Julius Fohs...................11

Jan 1, 1927

Jan 1, 1956

University of Alabama University, Alabama Mining and Metallurgical 'Society JOHN MADDOCK, President WAYNE WEST, Secretary J. R. CUDWORTH, Faculty Sponsor RICHARD L. BOWRON, Counselor University of Arizona Tucson, Arizona - Miners' Society CLYDE LOVING, President THEODORE BROOKs, Secretary A. J. THOMPSON, Faculty Sponsor E. D. GARDNER, Counselor,,

Jan 1, 1941

Jan 1, 1947

Jan 1, 1947

Jan 1, 1918

By A. K. Isaac

The effectiveness of coalface powered support depends upon its structural nature and the manner of application of the hydraulic system. A critical and largely unresolved feature of the system is the optimum setting pressure level at which a support should operate in its geological environment. This paper provides an argument for a generalised approach to the issue of setting pressure level quoting case study data for a high output British longwall installation.

Jan 1, 1984

By Russell Millar

ACCORDING to the data of Maier and Ralston1 zinc vapor and carbon monoxide under the conditions in which they are present in a zinc condenser should, from a thermodynamic point of view, react to form zinc oxide and carbon, Zn (gas) + CO = ZnO (solid) + C. Calculations based on these results show that the gas mixture which is reducing to zinc oxide at the tempera-ture of the retort is oxidizing to zinc at the tempera-ture of the condenser. A series of experiments at the Pacific Experiment

Jan 9, 1928

Arizona E. P. MATHEWSON, Chairman F. W. MACLENNAN, First Vice-chairman CLYDE E. WEED, Second Vice-chairman E.D. GARDNER, : Secretary-Treasurer Box 4097, University Station, Tucson, Ariz. ARTHUR CROWFOOT G.H. DOWELL HENRY F. EASTER R.D. LEISK Boston Meets first Monday each month, October to May, inclusive GEORGE, W. METCALFE, Chairman ROBERT S. WILLIAMS, Vice-chairman F. LEROY FOSTER, Secretary-Treasurer Rooms G-202, Mass. Inst. of Tech. Cambridge, Mass. FREDERICK K. MORRIS GEORGE A. PACKARD

Jan 1, 1934

By W. H. Geis

THE following pages summarize the causes that led to the suggestion of unit operation of the Paloma field, the organization of committees, preparation of the Paloma Operators Agreement and the reasons for rejection of the plan.

Jan 1, 1942

By M. A. Mahtab, T. M. Yegulalp

This paper presents the development and application of an approach for clustering fracture orientation data. Data are projected on the surface of the unit upper hemisphere and the clustering approach is applied in three steps: (1) randomness test and identification of dense clusters, (2) estimation of cluster statistics, using Bingham distribution, and (3) rejection of extremal data based on Chauvenet's criterion.

Jan 1, 1982

By John A. Riddle

Some of the pitfalls and problems in selecting and applying corrosion-resistant materials in uranium plants are discussed, together with some suggested solutions. Includes some cost data.

Jan 1, 1982

By C. Kremer Bain

To keep shovels working to capacity in the smaller and more scattered ore bodies necessitated the development of a mobile jumbo drill rig, utilizing the V-cut round drilled to a template. The paper shows the steps taken, and the difficulties encountered in accomplishing an increase of 38 pct in tons per drill shift over the method previously used, with probability of more efficient operation to come.

Jan 2, 1950

By W. A. Sweet

The furnace I am now about to describe was designed to obtain and maintain very high temperature. Knowing the cost of the gas furnace that was in successful operation here and abroad, I approached the subject with some misgivings as to my ability to attain anything like success, or even to reach a point of advancement. There seemed to be a field for a furnace of moderate cost for small mills, or where a particular heat was wanted, but the work was not enough to warrant the outlay necessary to build any gas furnace yet brought before the public. The section, Plate V, represents the furnace as I now build it for

By Stephen R. Holsinger

During 1972, Asarco's Silver Bell Unit embarked upon a project to test a digital computer-controlled grinding circuit against the performance of its other five grinding lines. The planning, implementation, and subsequent outcome of that project has been previously reported in a paper by Pitts 1, et al. This paper will describe the solutions to major problems incurred during the implementation of this control strategy on the remaining five primary grinding lines. Changes made in operating philosophy and methods during the expansion will also be discussed.

Jan 12, 1978

By R. W. Shoenberger, J. A. Grina, R. J. VanPelt

The many alternatives open to coke plant operators for improving overall coke quality and strength are discussed in this paper. Programs undertaken by US Steel research and coal operations during the previous ten years to improve coke strength are described. New techniques in use, or being considered for future use, are also discussed.

Jan 1, 1982