Learn how to apply the Navier-Stokes equations to viscous flows. Analyze pipe, channel and Stokes flows, and use dynamical similarity, dimensional analysis, and lubrication theory to model fluid optimization and handling problems in industrial and academic settings.
Learn how to apply the Navier-Stokes equations to viscous flows. Analyze pipe, channel and Stokes flows, and use dynamical similarity, dimensional analysis, and lubrication theory to model fluid optimization and handling problems in industrial and academic settings.
In this graduate-level online course from the MIT Department of Mechanical Engineering, you will learn how to use the Navier-Stokes equations and techniques like dimensional analysis to understand complex fluid mechanics problems.
Comfort with undergraduate-level fluid mechanics, multivariable calculus and undergraduate differential equations: elementary vector and tensor manipulation, Fourier transforms, solving second order linear ODEs and PDEs. Students without this background will find there is a steep learning curve and may have to put in more than the estimated time effort.
Note: this module (2.25.2x) is designed to be stand-alone. You do not need to take the first module (2.25.1x) to successfully complete this module.
Gareth McKinley is the School of Engineering Professor of Teaching Innovation within the Department of Mechanical Engineering at MIT. He received his BA and M.Eng. degrees from the University of Cambridge and his Ph.D (1991) from the Chemical Engineering department at MIT. He taught in the Division of Engineering and Applied Sciences at Harvard from 1991-1997 and was an NSF Presidential Faculty Fellow from 1995-1997. He served as Executive Editor of the Journal of Non-Newtonian Fluid Mechanics from 2001 to 2009 and as Associate Editor of Journal of Fluid Mechanics from 2007-2009. He most recently served as the Associate Dept. Head for Research of the Mechanical Engineering Department at MIT from 2008-2013. He is also a co-founder of Cambridge Polymer Group. He is the author of over 300 technical publications and was one of the winners of the 2007 Publication Award of the Society of Rheology. He is a Fellow of the American Physical Society. He was the recipient of the 2013 Bingham Medal of the Society of Rheology and in 2014 he was awarded the Gold Medal of the British Society of Rheology. He served as President of the Society of Rheology from 2015-2017 and is also the past chair of the US National Committee of Theoretical and Applied Mechanics (USNC/TAM). In 2019 he was elected to the National Academy of Engineering and also inducted as a Fellow of the Royal Society of London.)
Gareth McKinley’s research interests include extensional rheology of complex fluids, non-Newtonian fluid dynamics, microrheology & microfluidics, field-responsive fluids, super-hydrophobicity, wetting of nanostructured surfaces and the development of nanocomposite materials.
Bavand Keshavarz is a postdoctoral lecturer in the Department of Mechanical Engineering at MIT. He received his PhD from MIT in 2017. In 2013 and 2017 he was the recipient of the Wunsch Foundation Silent Hoist and Crane Award for being an outstanding teaching assistant for both graduate and undergraduate fluid mechanics courses at MIT (course numbers 2.25 and 2.005). His research is focused on nonlinear dynamics of complex fluids in fragmentation and fracture.
John Liu is the Principal Investigator of the MIT Learning Engineering and Practice (LEAP) Group, which applies design and systems principles to solving challenges in learning and develops learning experiences to better meet the increasing demand for STEM skills in tomorrow’s workforce. He is a Lecturer in MIT's Mechanical Engineering department and Scientist of the MITx Digital Learning Laboratory. As the former Director of the Principles of Manufacturing MicroMasters program, he facilitated a team of faculty and instructors to develop content and innovate manufacturing education at MIT using digital technology.
His work includes engineering education, mixed reality and haptic experiences, workforce solutions to address the nation-wide manufacturing skills gap, open-ended assessments for scalable education settings, and instructional design theory for massively open online courses. He earned his B.S. in Applied Physics from Caltech and S.M. and Ph.D. and S.M. in Mechanical Engineering from MIT, under an MIT-SUTD fellowship and NSF Graduate Research Fellowship.
Ms. Welsh is an educational technologist in the MIT Mechanical Engineering Department. She assists MIT faculty in the development of online courses and develops digital education tools for use in MIT courses. Prior to joining MIT, she worked as a Sustaining Engineer for an original equipment manufacturer. She holds a B.S in Mechanical Engineering from Case Western Reserve University.
Rachel Mok is an instructor in the Department of Mechanical Engineering at MIT. She received her Ph.D. in Mechanical Engineering from MIT, specializing in the theory and simulation of bacterial dynamics. As a graduate student, she was a teaching assistant for 2.005, an undergraduate course on thermal-fluid engineering. Through this experience, she realized her passion for teaching. She currently develops online courses and education tools that demonstrate engineering principles.