Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum, and energy equations for continua. Navier-Stokes equation for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Introduction to turbulence. Lift and drag. Surface tension and surface tension-driven flows.
This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.
This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.
The purpose of this activity is to bring together the students' knowledge of engineering and airplanes and the creation of a glider model to determine how each modification affects the flight. The students will use a design procedure whereby one variable is changed and all the others are kept constant.
Subject:
Mathematics and Statistics, Science and Technology
Students make a skydiver and parachute contraption to demonstrate how drag caused by air resistance slows the descent of skydivers as they travel back to Earth. Gravity pulls the skydiver toward the Earth, while the air trapped by the parachute provides an upward resisting force (drag) on the skydiver.
Subject:
Mathematics and Statistics, Science and Technology
Working in teams of four, you and your team will build a tetrahedral kite following a specific set of directions and using specific provided materials. You will use basic processes of manufacturing systems -- cutting, shaping, forming, conditioning, assembling, joining, finishing, and quality control -- to manufacture a complete tetrahedral kite within a given time frame. Evaluation of your project will involve the efficiency of your team as well as your finished product.
Subject:
Mathematics and Statistics, Science and Technology
The course begins with the basics of compressible fluid dynamics, including governing equations, thermodynamic context and characteristic parameters. The next large block of lectures covers quasi-one-dimensional flow, followed by a discussion of disturbances and unsteady flows. The second half of the course comprises gas dynamic discontinuities, including shock waves and detonations, and concludes with another large block dealing with two-dimensional flows, both linear and non-linear.
After a discussion about what a parachute is and how it works, students will create a parachute using different materials that they think will work best. The students will test their designs, which will be followed by a class discussion (and possible journal writing) to highlight which paper material worked best.
Subject:
Mathematics and Statistics, Science and Technology
Students learn about weight and drag forces by making paper helicopters and measuring how adding more weight affects the time it takes for the helicopters to fall to the ground.
Subject:
Mathematics and Statistics, Science and Technology
This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations and geostrophic flows; and the influence of wind stress. Experimental projects conducted in ocean engineering laboratories illustrating concepts taught in class, including ship resistance and model testing, lift and drag forces on submerged bodies, and vehicle propulsion.
This lesson explores the drag force on airplanes. The students will be introduced to the concept of conservation of energy and how it relates to drag. Students will explore the relationship between drag and the shape, speed and size of an object.
Subject:
Mathematics and Statistics, Science and Technology
Students revisit Bernoulli's Principle (Lesson 1 of the Airplanes unit) and learn how engineers use this principle to design airplane wings. Airplane wings create lift by changing the pressure of the air around it. This is the first of four lessons exploring the four key forces in flight: lift, weight, thrust and drag.
Subject:
Mathematics and Statistics, Science and Technology
In NASA CONNECT Glow with the Flow, NASA aerospace engineers use scale models to see how air flows and why materials glow under wind tunnel conditions. Students learn about the force of drag and discover how the blended wing body will affect travelers of the future. Grades 5-8.
Subject:
Mathematics and Statistics, Science and Technology
In NASA CONNECT Tools of the Aeronautics Trade, students explore the U.S. Customary and Metric systems of measurement, understand how to convert units in both systems, and are introduced to the four forces of aerodynamics: lift, weight, drag and thrust. Students also investigate the tools and techniques used by NASA aeronautical engineers and scientists to measure lift and drag. Grades 4-8.
Subject:
Mathematics and Statistics, Science and Technology
On the topic of energy related to motion, this summary lesson is intended to tie together the concepts introduced in the previous four lessons and show how the concepts are interconnected in everyday applications. A hands-on activity demonstrates this idea and reinforces students' math skills in calculating energy, momentum and frictional forces.
Subject:
Mathematics and Statistics, Science and Technology
One of the exciting challenges for engineers is the idea of exploration. This lesson looks more closely at Spaceman Rohan, Spacewoman Tess, their daughter Maya, and their challenges with getting to space, setting up satellites, and exploring uncharted waters via a canoe. This lesson reinforces rockets as a vehicle that helps us explore outside the Earth's atmosphere (i.e., to move without air) by using the principles of Newton's third law of motion. Also, the ideas of thrust, control and weight all principles that engineers deal with when building a rocket are introduced.
Subject:
Mathematics and Statistics, Science and Technology
This course introduces scholarly debates about sexual identities, gender identities and expressions, and sexual orientation and its representation in film and literature. We begin with a contemporary debate about biology and gender identity, considering its relationship to the historical understanding of sex, gender, and sexual identity. Our investigation continues with the theoretical underpinnings of the emerging field of queer studies, from the nineteenth century to the present day, and considers how subsequent work in transgender studies continues to challenge traditional understandings of sex, gender, and sexuality.
In this activity, students investigate the effect that fins have on rocket flight. Students construct two paper rockets that they can launch themselves by blowing through a straw. One "strawket" has wings and the other has fins. Students observe how these two control surfaces affect the flight of their strawkets. Students discover how difficult control of rocket flight is and what factors can affect it.
Subject:
Mathematics and Statistics, Science and Technology
This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.) This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.
This lesson introduces students to the art of designing an airplane through paper airplane constructions. The goal is that students will learn important aircraft design considerations and how engineers must iterate their designs to achieve success. Students first follow several basic paper airplane models, after which they will then design their own paper airplane. They will also learn how engineers make models to test ideas and designs.
Subject:
Mathematics and Statistics, Science and Technology
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