# Kyriacos Zygourakis

### Chemical and Biomolecular Engineering

# Kyriacos Zygourakis

### Chemical and Biomolecular Engineering

Ph.D., University of Minnesota

Dipl. Eng., National Technical University of Athens, Greece

Chemical reaction engineering

Cellular and tissue engineering

# “Everything should be made

# as simple as possible,

but not simpler”

# Albert Einstein

# CHBE 302: Applied Mathematics and Numerical Methods for

# Chemical Engineers I

# Computational Thinking and Mathematical Modeling: Solving engineering problems with computers; what is a mathematical model; introduction to transient and steady-state mass balances for chemical reactors. Introduction to MATLAB: Variables and assignment statements; numerical and relational expressions; built-in numerical functions; scripts; input and output functions; vectors and matrices;scalar and array operations; plotting. Programming with MATLAB: Transient mass balances revisited; loop statements; steady-state mass balances revisited; selection or branching statements; functions; program organization; modular programming. Linear algebraic equations: Review of vectors and matrices; solution of systems of linear equations by Gauss elimination; LU decomposition and inversion of matrices; error analysis and system condition; iterative methods. Non-linear equations: Solution of nonlinear equations with a single unknown; bisection method; simple fixed-point iteration; Newton-Raphson method; multiple roots; roots of polynomials.

# (Core Undergraduate Course - Fall Semester - 3 credits).

# CHBE 590: Chemical Reactor Analysis and Design

# Stoichiometry: Independent reactions, reaction and production rates, computational aspects. Material Balances: Batch, semi-batch, continuous stirred tank (CSTR) and continuous flow reactors. Energy Balances: Steady-state multiplicity, limit cycles; hot spots and runaways. Chemical Kinetics: Fast and slow time scales, equilibrium assumption, quasi-steady-state assumption. Fixed bed catalytic reactors: Reaction and diffusion in isothermal and non-isothermal catalyst pellets, effectiveness factor, external mass transfer, dispersion, design of fixed-bed reactors, convection, diffusion, reaction models. Mixing in chemical reactors: Residence time distribution, reactor mixing limits.

# (Graduate course - Spring Semester - 3 credits).

### OTHER COURSES TAUGHT IN PREVIOUS YEARS

# CHBE 305: Applied Mathematics and Numerical Methods for

# Chemical Engineers II

# Curve Fitting and Least Squares: Linear regression; Polynomial regression; Multiple linear regression; General linear least squares; Nonlinear regression with MATLAB. Initial Value Problems: Euler methods (explicit and implicit); Higher-order Runge-Kutta methods; Adaptive Runge-Kutta methods; Systems of ordinary differential equations; Numerical stability; Stiff systems; Multistep methods. Dynamical Systems: Equilibrium points and their stability; Linear and nonlinear systems on the plane. Boundary Value Problems: Finite difference approximations; Dirichlet, Neumann and Mixed boundary conditions; Diffusion and Reaction is Catalyst Pellets; Two-dimensional boundary value problems; Poisson’s equation, heat transfer and 2D reaction-diffusion; Coupled BVPs; Coupled heat and mass transfer. Partial Differential Equations: Initial boundary value problems; Method of lines; Numerical stability; Convection, diffusion and reaction in a packed bed catalytic reactor.

# (Core Undergraduate Course - Spring Semester - 3 credits).

# CHBE 305: Computational Methods in Chemical Engineering

# Introduction to modern practice and chemical engineering applications of scientific computing: approximations and round-off errors; solution of systems of linear equations; least squares regression; interpolation; solution of nonlinear algebraic equations; integration and differentiation; numerical solution of ordinary differential equations; boundary value problems. Principles illustrated through chemical engineering examples.

# (Core Undergraduate Course - Spring Semester - 3 credits).

# CHBE/ENST 281: Engineering Solutions for Sustainable Communities

### Students work in teams to develop sustainable solutions for energy or environmental problems affecting our Houston and Rice communities. Emphasis is placed on the integration of engineering fundamentals with societal issues, environmental and safety considerations, sustainability and professional communications (Spring Semester - 3 credits).

### CHBE 303: Programming for Chemical Engineers

### An introduction to computer programming for chemical engineering applications using MATLAB (Core Undergraduate Course - Fall Semester - 2 credits).

### CHBE 100: Introduction to Chemical and Biomolecular Engineering

### A series of lectures for freshmen that outline how chemical and biomolecular engineers tackle today's major energy, health, environmental and economic challenges by working to provide sustainable and affordable energy, by designing new materials, biological products, or medical therapeutics, and by developing production methods that are friendly to our environment (Spring Semester - 1 credit)

### CHBE 470: Process Dynamics and Control

### CHBE 692: Applied Mathematics for Chemical Engineers