MW 1:30-2:50 ChE 548
Advanced Topics in Fluid Mechanics: Dynamics of Films, Jets and Drops
 
The number of actuation mechanisms for generating controlled mass, momentum and energy transport in microfluidic systems continues to grow year by year. The large surface to volume ratios inherent in systems with at least one deformable interface guarantees that flow behavior can be tuned by clever manipulation of normal or tangential stresses. This course surveys current research efforts in micro- and nanofluidic systems with emphasis on free surface flows. Students will evaluate technologies, concepts and theoretical models involving transport phenomena in small scale systems by reading and critiquing recently published work in the field. A final comprehensive report will be assigned. Sample topics for this year include spontaneous electrowetting, phase field methods for problems involving moving contact lines, and dynamical instabilities driven by curved fronts.
 
Background Reading List:
A. W. Adamson and A.P. Gast, Physical Chemistry of Surfaces (6th edn)
W. M. Deen, Analysis of Transport Phenomena
V. G. Levich, Physicochemical Hydrodynamics
S. Middleman, Modeling Axisymmetric Flows
R. F. Probstein, Physicochemical Hydrodynamics (2nd edn)

TThurs 9:30-10:50 (Friend Center 108) ChE 505
Advanced Heat and Mass Transfer
 
A comprehensive study of processes driven by heat and mass transfer. Topics to include scaling and approximation methods, steady and unsteady conduction and diffusion, forced convection in confined and unconfined laminar flows, entrance effects, Taylor dispersion, laminar boundary layers, Stefan-Maxwell equations, buoyancy driven flow, electro-osmotic flow and hydrodynamic instabilities (Rayleigh-Benard convection).
 
Sample Reading List:
R. B. Bird, W. E. Stewart and E. N. Lightfoot, Transport Phenomena (1960)
E. L. Cussler, Diffusion: Mass Transfer in Fluid Systems (2nd edn, 1997)
W. M. Deen, Analysis of Transport Phenomena (1998) (class textbook)
L. G. Leal, Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis (1992)
S. Middleman, An Introduction to Mass and Heat Transfer: Principles of Analysis and Design (1998)

MWF 9:00-9:50
W 1:30-2:20 (EQuad A224) ChE 341
Mass, Momentum and Energy Transport
 
Good engineering design begins with the development of a realistic model. This course will teach students how first to assess the importance of competing processes controlling the transport of fluids, heat and mass transfer relevant to a variety of engineering technologies. This evaluation will be followed by development of proper mathematical models and solution methods most appropriate to the task. Strong similarities exist in describing the flow behavior of heat, mass and momentum. This parallelism will be exploited to generalize understanding of systems governed by linear response. Course topics will include fluid statics; conservations equations for mass, momentum and energy; dimensional anlaysis; viscous flows at low and high Reynolds number; thermal conduction; multi-component diffusion; convective heat and mass transfer and correlations. A working knowledge of calculus, linear algebra and ordinary differential equations is assumed. MAE 305 may be taken concurrently.
 
Sample Reading List:
Welty, Wicks, Wilson and Rorrer Fundamentals of Momentum, Heat, and Mass Transfer
S. Middleman, An Introduction to Fluid Dynamics
S. Middleman, An Introduction to Mass and Heat Transfer

MWF 11:00-11:50 (Friend Center 112) ChE 505
Advanced Heat and Mass Transfer
 
A comprehensive study of processes driven by heat and mass transfer. Topics to include scaling and approximation methods, steady and unsteady conduction and diffusion, forced convection in confined and unconfined laminar flows, entrance effects, Taylor dispersion, laminar boundary layers, Stefan-Maxwell equations, buoyancy driven flow, electro-osmotic flow and hydrodynamic instabilities (Rayleigh-Benard convection).
 
Sample Reading List:
E. L. Cussler, Diffusion: Mass Transfer in Fluid Systems (2nd edn, 1997)
W. M. Deen, Analysis of Transport Phenomena (1998)
L. G. Leal, Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis (1992)
S. Middleman, An Introduction to Mass and Heat Transfer: Principles of Analysis and Design (1998)

MW 1:30-2:50 ChE 548
Advanced Topics in Fluid Mechanics: Dynamics of Films, Jets and Drops
 
The development of electronic and biomedical devices for actuating flow and mixing in micro- and nanofluidic systems requires a good understanding of the behavior of ultrasmall liquid volumes. Since small liquid structures maintain a large surface to volume ratio, their fluidic behavior is dominated by interfacial forces. This course will survey current research in micro- and nanofluidic phenomena with special emphasis on free surface flows. Students will evaluate technologies, concepts and theoretical models involving transport phenomena in small scale systems by reading and critiquing recently published work in the field.
 
Sample Reading List:
A. W. Adamson and A.P. Gast, Physical Chemistry of Surfaces (6th edn)
W. M. Deen, Analysis of Transport Phenomena
V. G. Levich, Physicochemical Hydrodynamics
S. Middleman, Modeling Axisymmetric Flows
R. F. Probstein, Physicochemical Hydrodynamics (2nd edn)

MWF 11:00-11:50 ChE 505
Advanced Heat and Mass Transfer
 
A comprehensive study of processes driven by heat and mass transfer. Topics to include scaling and approximation methods, steady and unsteady conduction and diffusion, forced convection in confined and unconfined laminar flows, entrance effects, Taylor dispersion, laminar boundary layers, Stefan-Maxwell equations, buoyancy driven flow, electro-osmotic flow and hydrodynamic instabilities (Rayleigh-Benard convection).
 
Sample Reading List:
E. L. Cussler, Diffusion: Mass Transfer in Fluid Systems (2nd edn, 1997)
W. M. Deen, Analysis of Transport Phenomena (1998)
L. G. Leal, Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis (1992)
S. Middleman, An Introduction to Mass and Heat Transfer: Principles of Analysis and Design (1998)

MWF 11:00-11:50 MAE 305
Mathematics in Engineering I (also Mathematics 301)
 
An introduction to ordinary and partial differential equations including equations of a single variable, systems of linear equations, method of undetermined coefficients, variation of parameters, series solutions for ordinary and regular singular points, Laplace transforms, nonlinear equations and stability, phase portraits, boundary value problems, separation of variables, self similar solutions and Sturm-Liouville theory.
 
Sample Reading List:
G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (5th edn)
W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems (7th edn)
G. L Peterson and J. S. Sochacki, Linear Algebra and Differential Equations
W. F. Trench, Elementary Differential Equations with Boundary Value Problems

MW 2:30-3:50 ChE 548
Advanced Topics in Fluid Mechanics: Dynamics of Films, Jets and Drops
 
Survey of advanced theoretical and experimental topics in microscale fluid dynamics with special emphasis on free boundary flows. New microfluidic technologies like thermocapillary pumping, electrowetting, and electro-osmotic flow will be evaluated. Students are required to complement textbook assignments with weekly critiques of recently published papers in the field.
 
Sample Reading List:
A. W. Adamson and A.P. Gast, Physical Chemistry of Surfaces (6th edn)
W. M. Deen, Analysis of Transport Phenomena
V. G. Levich, Physicochemical Hydrodynamics
S. Middleman, Modeling Axisymmetric Flows
R. F. Probstein, Physicochemical Hydrodynamics (2nd edn)

MWF 11:00-11:50 MAE 305
Mathematics in Engineering I
 
Exposition of the elementary theory of ordinary differential equations with considerable discussion of the methods of solution, analysis and approximation. The student will develop facility in solving problems corresponding to ubiquitous physical phenomena in science and engineering. A working knowledge of calculus is required.
 
Sample Reading List:
Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (6th edn)

MWF 9:00-9:50
W 2:30-3:20 ChE 341
Mass, Momentum and Energy Transport
 
One of the most important aspects of engineering design lies in the development of a realistic model. We will learn how to formulate mathematical models for a broad spectrum of engineering technologies by developing the conservation equations governing the transport of mass, momentum and energy. Similarities between these different transport quantities will be exploited to gain a deeper understanding of transport phenomena in general. The course covers fluid statics and dynamics followed by heat and mass transfer problems. We also consider flow in the presence of thermal and concentration gradients.
 
Sample Reading List:
Welty, Wicks, and Wilson, Fundamentals of Momentum, Heat, and Mass Transfer
Bird, Stewart, and Lightfoot, Transpsort Phenomena
S. Middleman, An Introduction to Fluid Dynamics
S. Middleman, An Introduction to Mass and Heat Transfer

MW 9:30-10:50 ChE 501
Incompressible Fluid Mechanics
 
Self-contained treatment of incompressible fluid mechanics including conservation laws and constitutive relations for Newtonian and non-Newtonian flows, dimensional analysis, unidirectional and creeping flows, self-similar flows, asymptotic approximations to complex flows, and lubrication and boundary layer phenomena. Time permitting, we introduce concepts and approximations relevant to hydrodynamics instabilities and turbulent flows. Familiarity with vector analysis and solution techniques for ordinary and partial differential equations is assumed.
 
Sample Reading List:
L. Gary Leal, Laminar Flow and Convective Transport Process
G. K. Batchelor, An Introduction to Fluid Mechanics
Landau and Lifshitz, Fluid Mechanics (2nd edn)
D. J. Tritton, Physical Fluid Dynamics (2nd edn)