This paper is based on the report developed by the authors at the Mathematics Association of Amer... more This paper is based on the report developed by the authors at the Mathematics Association of America (MAA) Curriculum Foundations Engineering Workshop held at Clemson University in May 2000. The objectives of this paper are to identify the mathematics needed by chemical engineering undergraduates, to stimulate a dialog between mathematics and chemical engineering educators on this topic, and to determine
The ratio of weight/height' emerges from varied epidemiological studies as the most generall... more The ratio of weight/height' emerges from varied epidemiological studies as the most generally useful index of relative body mass in adults. The authors present a nomograph to facilitate use of this relationship in clinical situations. While showing the range of weight given as desirable in life insurance studies, the scale expresses relative weight as a continuous variable. This method encourages use of clinical judgment in interpreting "overweight" and "underweight" and in accounting for muscular and skeletal contributions to measured mass. Am. J. Clin. Nuir. 29: 302-304, 1976. It has long been customary to include measurement of weight in clinical health assessments. Life insurance data have mdi- cated an increased mortality risk for extremes of weight, and the insurance industry's tables
Amorphous MnOx(AMO) has been prepared by the reaction of potassium permanganate and oxalic acid. ... more Amorphous MnOx(AMO) has been prepared by the reaction of potassium permanganate and oxalic acid. Surface area measurements and pore size distribution analyses show that AMO has high surface (200 m2/g) area and a microporus structure. Kinetic results indicate that methyl bromide degradation using AMO photocatalysts is due to a combination of thermocatalytic and photocatalytic reactions; however, the photocatalytic reaction is
... In these textbooks, solutions of many of the examples are presented as ... This problem demon... more ... In these textbooks, solutions of many of the examples are presented as ... This problem demonstrates the connection between ecology and environmental engineering, illustrates the phenomena of transport and transformation processes and serves as an introduction to kinetics ...
Criteria for evaluating mathematical software packages and the results of a recent comparison of ... more Criteria for evaluating mathematical software packages and the results of a recent comparison of such packages are briefly reviewed. A benchmark problem that was developed based on the results of this comparison is presented. This problem can be used in various courses, representing various levels of knowledge in chemical process analysis, mathematical modeling and numerical methods where the solution is achieved using the software most appropriate to the objectives of the particular course. This work demonstrates and illustrates the conclusion that the most educational benefits can be gained by using several packages throughout the chemical engineering curriculum. The software that is most appropriate for a particular course must be determined according to the course objectives and the previous exposure of the students to mathematical models, numerical algorithms and computer programming.
Dynamic modelling and simulation of a chemical process in emergency conditions is considered. Suc... more Dynamic modelling and simulation of a chemical process in emergency conditions is considered. Such modelling and simulation often requires rapid implementation of model changes by the process engineer followed by simulation runs. A simulator with an open architecture structure is presented where the model components (equations) are stored in an object-oriented form in a database, enabling rapid and easy modification
An extensive test problem library of nonlinear algebraic equations (NLE) has been created and imp... more An extensive test problem library of nonlinear algebraic equations (NLE) has been created and implemented on the World Wide Web. This web-based test problem library contains complete problem descriptions with the following information: the model equations in the same form as the input for the numerical solver, the explicit definitions of constraints on the variables, the initial estimates and function
Computer Applications in Engineering Education, 2009
The use of live demonstrations in courses related to numerical problem solving combined with Powe... more The use of live demonstrations in courses related to numerical problem solving combined with PowerPoint presentations is advocated in order to stimulate student interest and involvement and enhance learning. The proposed approach is demonstrated by solving a system of ordinary differential equations as a boundary value problem, utilizing finite difference approximations for solving partial differential equations, and investigating ill-conditioning in multiple linear regression. The educational benefits of this approach are discussed in detail. ß
Computer Applications in Engineering Education, 1998
Current personal computers provide exceptional computing capabilities to engineering students tha... more Current personal computers provide exceptional computing capabilities to engineering students that can greatly improve speed and accuracy during sophisticated problem solving. The need to actually create programs for mathematical problem solving has been reduced if not eliminated by available mathematical software packages. This article summarizes a collection of 10 typical problems from throughout the chemical engineering curriculum that require numerical solutions. These problems involve most of the Correspondence to M. B. Cutlip (mcutlip@uconnvm. uconn.edu).
This manuscript discusses the synthesis of Amorphous Manganese Oxide (AMO) materials that are use... more This manuscript discusses the synthesis of Amorphous Manganese Oxide (AMO) materials that are used for efficient photoassisted catalytic oxidation of alcohols and halogenated hydrocarbons. Characterization studies suggest that oxygen is lost from AMO very readily under illumination, creating oxygen vacancies that may be important in photooxidation reactions. Alcohols are converted to ketones such as acetone from isopropanol with 100% selectivity at room temperature. These AMO systems have turnover numbers that are over one order of magnitude greater than TiO 2 systems for isopropanol oxidation and over an order of magnitude greater than for TiO 2 systems in decomposition of halogenated hydrocarbons. In addition the TiO 2 systems are poisoned much faster than the AMO materials, especially in degradation of halogenated hydrocarbons. The same high activity and selectivity occur for the total oxidation of halogenated hydrocarbons such as methyl bromide which is converted into CO2, H20 and Br 2. The synthesis, characterization, and photoactivity of these materials will be discussed. AMO photocatalysts are also active in the decomposition of methyl choride and methyl iodide.
This paper is based on the report developed by the authors at the Mathematics Association of Amer... more This paper is based on the report developed by the authors at the Mathematics Association of America (MAA) Curriculum Foundations Engineering Workshop held at Clemson University in May 2000. The objectives of this paper are to identify the mathematics needed by chemical engineering undergraduates, to stimulate a dialog between mathematics and chemical engineering educators on this topic, and to determine
The ratio of weight/height' emerges from varied epidemiological studies as the most generall... more The ratio of weight/height' emerges from varied epidemiological studies as the most generally useful index of relative body mass in adults. The authors present a nomograph to facilitate use of this relationship in clinical situations. While showing the range of weight given as desirable in life insurance studies, the scale expresses relative weight as a continuous variable. This method encourages use of clinical judgment in interpreting "overweight" and "underweight" and in accounting for muscular and skeletal contributions to measured mass. Am. J. Clin. Nuir. 29: 302-304, 1976. It has long been customary to include measurement of weight in clinical health assessments. Life insurance data have mdi- cated an increased mortality risk for extremes of weight, and the insurance industry's tables
Amorphous MnOx(AMO) has been prepared by the reaction of potassium permanganate and oxalic acid. ... more Amorphous MnOx(AMO) has been prepared by the reaction of potassium permanganate and oxalic acid. Surface area measurements and pore size distribution analyses show that AMO has high surface (200 m2/g) area and a microporus structure. Kinetic results indicate that methyl bromide degradation using AMO photocatalysts is due to a combination of thermocatalytic and photocatalytic reactions; however, the photocatalytic reaction is
... In these textbooks, solutions of many of the examples are presented as ... This problem demon... more ... In these textbooks, solutions of many of the examples are presented as ... This problem demonstrates the connection between ecology and environmental engineering, illustrates the phenomena of transport and transformation processes and serves as an introduction to kinetics ...
Criteria for evaluating mathematical software packages and the results of a recent comparison of ... more Criteria for evaluating mathematical software packages and the results of a recent comparison of such packages are briefly reviewed. A benchmark problem that was developed based on the results of this comparison is presented. This problem can be used in various courses, representing various levels of knowledge in chemical process analysis, mathematical modeling and numerical methods where the solution is achieved using the software most appropriate to the objectives of the particular course. This work demonstrates and illustrates the conclusion that the most educational benefits can be gained by using several packages throughout the chemical engineering curriculum. The software that is most appropriate for a particular course must be determined according to the course objectives and the previous exposure of the students to mathematical models, numerical algorithms and computer programming.
Dynamic modelling and simulation of a chemical process in emergency conditions is considered. Suc... more Dynamic modelling and simulation of a chemical process in emergency conditions is considered. Such modelling and simulation often requires rapid implementation of model changes by the process engineer followed by simulation runs. A simulator with an open architecture structure is presented where the model components (equations) are stored in an object-oriented form in a database, enabling rapid and easy modification
An extensive test problem library of nonlinear algebraic equations (NLE) has been created and imp... more An extensive test problem library of nonlinear algebraic equations (NLE) has been created and implemented on the World Wide Web. This web-based test problem library contains complete problem descriptions with the following information: the model equations in the same form as the input for the numerical solver, the explicit definitions of constraints on the variables, the initial estimates and function
Computer Applications in Engineering Education, 2009
The use of live demonstrations in courses related to numerical problem solving combined with Powe... more The use of live demonstrations in courses related to numerical problem solving combined with PowerPoint presentations is advocated in order to stimulate student interest and involvement and enhance learning. The proposed approach is demonstrated by solving a system of ordinary differential equations as a boundary value problem, utilizing finite difference approximations for solving partial differential equations, and investigating ill-conditioning in multiple linear regression. The educational benefits of this approach are discussed in detail. ß
Computer Applications in Engineering Education, 1998
Current personal computers provide exceptional computing capabilities to engineering students tha... more Current personal computers provide exceptional computing capabilities to engineering students that can greatly improve speed and accuracy during sophisticated problem solving. The need to actually create programs for mathematical problem solving has been reduced if not eliminated by available mathematical software packages. This article summarizes a collection of 10 typical problems from throughout the chemical engineering curriculum that require numerical solutions. These problems involve most of the Correspondence to M. B. Cutlip (mcutlip@uconnvm. uconn.edu).
This manuscript discusses the synthesis of Amorphous Manganese Oxide (AMO) materials that are use... more This manuscript discusses the synthesis of Amorphous Manganese Oxide (AMO) materials that are used for efficient photoassisted catalytic oxidation of alcohols and halogenated hydrocarbons. Characterization studies suggest that oxygen is lost from AMO very readily under illumination, creating oxygen vacancies that may be important in photooxidation reactions. Alcohols are converted to ketones such as acetone from isopropanol with 100% selectivity at room temperature. These AMO systems have turnover numbers that are over one order of magnitude greater than TiO 2 systems for isopropanol oxidation and over an order of magnitude greater than for TiO 2 systems in decomposition of halogenated hydrocarbons. In addition the TiO 2 systems are poisoned much faster than the AMO materials, especially in degradation of halogenated hydrocarbons. The same high activity and selectivity occur for the total oxidation of halogenated hydrocarbons such as methyl bromide which is converted into CO2, H20 and Br 2. The synthesis, characterization, and photoactivity of these materials will be discussed. AMO photocatalysts are also active in the decomposition of methyl choride and methyl iodide.
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