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Gareth McKinley, Bavand Keshavarz, John Liu, Emily Welsh, Rachel Mok, and Daniel Braconnier

This course covers the fundamentals of advanced fluid mechanics: including its connections to continuum mechanics more broadly, hydrostatics, buoyancy and rigid body accelerations, inviscid flow, and the application of Bernoulli’s theorems, as well as applications of control volume analysis for more complex fluid flow problems of engineering interest. This course features lecture and demo videos, lecture concept checks, practice problems, and extensive problem sets.

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This course covers the fundamentals of advanced fluid mechanics: including its connections to continuum mechanics more broadly, hydrostatics, buoyancy and rigid body accelerations, inviscid flow, and the application of Bernoulli’s theorems, as well as applications of control volume analysis for more complex fluid flow problems of engineering interest. This course features lecture and demo videos, lecture concept checks, practice problems, and extensive problem sets.

This course is the first of a three-course sequence in incompressible fluid mechanics: Advanced Fluid Mechanics: Fundamentals, Advanced Fluid Mechanics: The Navier-Stokes Equations for Viscous Flows, and Advanced Fluid Mechanics: Potential Flows, Lift, Circulation & Boundary Layers. The series is based on material in MIT’s class 2.25 Advanced Fluid Mechanics, one of the most popular first-year graduate classes in MIT’s Mechanical Engineering Department. This series is designed to help people gain the ability to apply the governing equations, the principles of dimensional analysis and scaling theory to develop physically-based, approximate models of complex fluid physics phenomena. People who complete these three consecutive courses will be able to apply their knowledge to analyze and break down complex problems they may encounter in industrial and academic research settings.

The material is of relevance to engineers and scientists across a wide range of mechanical chemical and process industries who must understand, analyze and optimize flow processes and fluids handling problems. Applications are drawn from hydraulics, aero & hydrodynamics as well as the chemical process industries.

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What's inside

Learning objectives

  • Continuum mechanics
  • Hydrostatics
  • Buoyancy and rigid body accelerations
  • Inviscid flow
  • Application of bernoulli’s theorems
  • Applications of control volume analysis for more complex fluid flow problems of engineering interest

Syllabus

Continuum viewpoint and the equations of motion
Hydrostatic analysis of fluids in static equilibrium, buoyancy
Inviscid flow (differential approach): Euler’s equation, Bernoulli’s integral, and the effects of streamline curvature. The Mechanical Energy Equation
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Control volume theorems (integral approach): Mass conservation, linear momentum theorem, angular momentum theorem, first and second laws of thermodynamics.
Application to increasingly complex systems

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Covers continuum mechanics, which is fundamental to fluid mechanics
Taught by instructors from MIT's Mechanical Engineering Department, which is recognized for its excellence in fluid mechanics
Develops skills in analyzing and optimizing flow processes, which are highly relevant to various industries
Emphasizes the application of Bernoulli's theorems and control volume analysis, which are essential tools in fluid mechanics
Provides a solid foundation in fluid mechanics, suitable for engineers and scientists
Course requires extensive background knowledge and may not be suitable for beginners

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Reviews summary

Well-received fluid mechanics course

Learners say that Advanced Fluid Mechanics 1: Fundamentals was a delightful course. They found that the explanations were great and the interest of the subject matter made taking the course a worthwhile experience.

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Advanced Fluid Mechanics 1: Fundamentals with these activities:
Review Course Prerequisites
Review fundamental concepts and build a solid foundation for advanced fluid mechanics
Browse courses on Continuum Mechanics
Show steps
  • Revisit key concepts in continuum mechanics and fluid statics from previous courses
  • Review the principles of buoyancy and rigid body accelerations in fluids
  • Recall the concepts of inviscid flow and the application of Bernoulli's theorems
Explore External Resources on Inviscid Flow and Potential Flows
Enrich understanding by exploring additional materials and perspectives
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  • Search for and identify reputable resources on inviscid flow and potential flows
  • Review external materials, including research papers, articles, and online tutorials
Read and Summarize 'Advanced Fluid Dynamics' by Versteeg and Malalasekera
Gain a comprehensive understanding of advanced fluid dynamics concepts through a reputable textbook
Show steps
  • Read selected chapters of 'Advanced Fluid Dynamics' that align with course topics
  • Summarize key concepts, equations, and examples to reinforce learning
Show all three activities

Career center

Learners who complete Advanced Fluid Mechanics 1: Fundamentals will develop knowledge and skills that may be useful to these careers:
Research Scientist - Fluid Mechanics
Research Scientists - Fluid Mechanics conduct research in various areas of fluid dynamics, such as turbulence, multiphase flow, and computational fluid dynamics. They apply advanced fluid mechanics principles to develop new theories, models, and experimental techniques. Advanced Fluid Mechanics 1: Fundamentals can provide a strong foundation for aspiring Research Scientists - Fluid Mechanics and help them succeed in their research endeavors.
Petroleum Engineer
Petroleum Engineers design and manage the extraction of oil and natural gas from underground reservoirs. They apply fluid mechanics principles to understand the flow of fluids in porous media, optimize wellbore design, and enhance oil recovery techniques. Advanced Fluid Mechanics 1: Fundamentals can provide Petroleum Engineers with a deep understanding of fluid flow in porous rocks and help them improve their reservoir management strategies.
Hydrologist
Hydrologists study the movement and distribution of water on the Earth's surface and below ground. They apply fluid mechanics principles to analyze water flow in rivers, lakes, aquifers, and other water bodies. Advanced Fluid Mechanics 1: Fundamentals can provide a solid foundation for understanding the dynamics of water flow and its implications for water resources management and environmental protection.
Water Resources Engineer
Water Resources Engineers plan, design, and manage water resources systems to meet societal needs. They apply fluid mechanics principles to analyze water flow in rivers, canals, and other water conveyance systems. Advanced Fluid Mechanics 1: Fundamentals can provide Water Resources Engineers with a deep understanding of fluid flow and its applications in water resources management.
Mechanical Engineer
Mechanical Engineers design, build, and operate machines and systems. They apply fluid mechanics principles in various areas, including the design of fluid power systems, pumps, turbines, and heat exchangers. Advanced Fluid Mechanics 1: Fundamentals can provide a strong foundation for understanding the behavior of fluids in mechanical systems and help Mechanical Engineers optimize their designs.
Naval Architect
Naval Architects design, build, and maintain ships and other marine vessels. They apply fluid mechanics principles to optimize hull shapes, design propulsion systems, and ensure vessel stability. Advanced Fluid Mechanics 1: Fundamentals can provide Naval Architects with a deeper understanding of fluid flow around ship hulls and help them design more efficient and seaworthy vessels.
Oceanographer
Oceanographers study the physical, chemical, and biological aspects of the ocean. They apply fluid mechanics principles to understand ocean currents, tides, waves, and other physical processes in the ocean. Advanced Fluid Mechanics 1: Fundamentals can provide Oceanographers with a strong foundation in fluid dynamics and help them make more accurate predictions and models of ocean behavior.
Wind Energy Engineer
Wind Energy Engineers design, build, and operate wind turbines to generate electricity from wind power. They apply fluid mechanics principles to understand the behavior of wind and optimize turbine design. Advanced Fluid Mechanics 1: Fundamentals can provide Wind Energy Engineers with a strong foundation in fluid dynamics and help them design more efficient and cost-effective wind turbines.
Computational Fluid Dynamics (CFD) Engineer
CFD Engineers use computer simulations to analyze and solve complex fluid flow problems. They apply principles of fluid mechanics, including those covered in Advanced Fluid Mechanics 1: Fundamentals, to design and optimize systems involving fluid flow, such as aircraft engines, wind turbines, and medical devices.
Biomedical Engineer
Biomedical Engineers apply engineering principles to solve problems in medicine and healthcare. They apply fluid mechanics principles to design and develop medical devices, such as blood pumps, artificial organs, and drug delivery systems. Advanced Fluid Mechanics 1: Fundamentals can help Biomedical Engineers better understand the behavior of fluids in biological systems and improve their designs.
Environmental Engineer
Environmental Engineers work to protect human health and the environment by addressing issues related to water, air, and land pollution. They apply fluid mechanics principles to design systems for wastewater treatment, air pollution control, and hazardous waste management. Advanced Fluid Mechanics 1: Fundamentals can provide a strong foundation for understanding the behavior of fluids in environmental systems.
Civil Engineer
Civil Engineers design and supervise the construction of infrastructure projects, such as bridges, buildings, roads, and water supply systems. Knowledge of fluid mechanics is essential for designing hydraulic structures like dams and canals. Advanced Fluid Mechanics 1: Fundamentals can help build a foundation for understanding advanced fluid flow concepts and their applications in civil engineering.
Materials Engineer
Materials Engineers develop and improve materials used in various industries, including aerospace, automotive, and electronics. They apply fluid mechanics principles to understand the behavior of fluids in materials, such as the flow of molten metal during casting or the flow of gases through porous materials. Advanced Fluid Mechanics 1: Fundamentals can help Materials Engineers optimize material properties and processes by providing a deeper understanding of fluid flow phenomena.
Geotechnical Engineer
Geotechnical Engineers specialize in the behavior of soil and rock. They apply fluid mechanics principles, particularly those related to buoyancy and groundwater flow, to analyze and design foundations, slopes, and other geotechnical structures. Advanced Fluid Mechanics 1: Fundamentals can help Geotechnical Engineers gain a deeper understanding of fluid-soil interactions and improve their designs.
Aerospace Engineer
Aerospace Engineers apply principles from fluid dynamics, especially aerodynamics, to design and build aircraft, missiles, satellites, and other aerospace-related vehicles. Advanced Fluid Mechanics 1: Fundamentals may be useful in this role as it explores concepts like inviscid flow, the mechanical energy equation, and applications of control volume analysis.

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Advanced Fluid Mechanics 1: Fundamentals.
Comprehensive treatment of fluid dynamics that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about fluid dynamics.
More advanced treatment of fluid mechanics that covers topics such as inviscid flow, boundary layers, and turbulence. It good reference for students who want to learn more about fluid mechanics.
Good introduction to incompressible flow that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about incompressible flow.
Good introduction to compressible flow that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about compressible flow.
Good introduction to turbulent flow that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about turbulent flow.
Classic text on boundary layer theory that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about boundary layer theory.
Good introduction to computational fluid dynamics that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about computational fluid dynamics.
Good introduction to fluid mechanics that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about fluid mechanics.
Good introduction to fluid mechanics that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about fluid mechanics.
Good introduction to fluid mechanics that covers a wide range of topics, from the basics to more advanced concepts. It good reference for students who want to learn more about fluid mechanics.
Classic introduction to fluid dynamics that provides a good foundation for understanding the subject. It is well-written and provides a clear explanation of the basic concepts.

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