Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Membrane separation processes, from reverse osmosis to ultrafiltration to microfiltration, are gradually receiving more and more emphasis in undergraduate chemical engineering curricula. Of these processes, ultrafiltration tends to be the most amenable to the standard chemical engineering approach of theory development, mass and/or energy…

A practical for students to experience a process plant is presented, based on operating a solvent absorption plant for carbon dioxide capture. The student must operate the plant in assigned roles that closely identify with a chemical plant environment, to achieve specific performance targets. Students must overcome technical challenges that…

Cross-disciplinary fields such as biotechnology require chemical engineers and non-engineers to routinely work together, thus creating a need for non-engineers to learn chemical engineering. But limited knowledge on non-engineers' learning preferences and the lack of pedagogical methods to teach non-engineers restricts the opportunities available…

Upon graduation, engineering (and science) undergraduate and graduate students are typically well-prepared for success in technical problem solving. However, they have had little exposure to the vagaries associated with the interplay of "people" and technical problems (sometimes referred to as sociotechnical efforts), especially as…

Chemical engineering problems often involve the solution of systems of nonlinear algebraic equations (NLE). There are several software packages that can be used for solving NLE systems, but they may occasionally fail, especially in cases where the mathematical model contains discontinuities and/or regions where some of the functions are undefined.…

With the advance of engineering education research and scholarship, there has been an increased focus on amending chemical engineering courses to increase student learning, engagement and enjoyment. These approaches are often incorporated in project-based courses such as capstone design courses and laboratory courses, providing opportunities to…

This work aims to demonstrate the use of Excel spreadsheets for solving L-L extraction problems. The key to solving the problems successfully is to be able to determine a tie line on the ternary diagram where the calculation must be carried out. This enables the reader to analyze the extraction process starting with a simple operation, the…

Typically the material and energy balance (MEB) course is taught at a freshman or sophomore level. Success in this early course is generally believed to be a metric for future success within the chemical engineering curriculum. However, the complexities and dynamics of the course stem from not only the difficulty of the subject matter, but also…

Novel analytical solutions based on the Lambert W function for two problems in ultrafiltration and diafiltration are described. Example problems, suitable for incorporation into an introductory module in unit operations, membrane processing, or numerical methods are provided in each case.

The degrees of freedom (DOF) concept is a powerful tool that has been taught since at least the '70s in undergraduate curriculum, typically introduced in the context of a first course on material and energy balances. The concept, however, has not been widely applied beyond the material balance domain and in general is not taught as a unified…

Despite the instinctive perception of mass and heat transfer principles in daily life, productive learning in this course continues to be one of the greatest challenges for undergraduate students in chemical engineering. In an effort to enhance student learning in classroom, we initiated an innovative active-learning method titled…

The implementation of troubleshooting within a pre-existing expository laboratory is described and evaluated. Student feedback indicated that troubleshooting activities are highly effective in providing a hands-on opportunity to exercise problem-solving skills and gain a better understanding of the whole process in addition to effectively…