Fluid Mechanics MTF053 | |

Credits | 7.5 ects |

Grading scale | fail, 3, 4, 5 |

Educational level | Bachelor course |

Main field | Mechanical Engineering |

Department | Department of Mechanics and Maritime Sciences |

Division | Division of Fluid Dynamics |

Language | English |

Objectives

Gas and liquid flows are encountered in numerous engineering application and in many cases fluid mechanics plays a central role for the functionality. In fact, modern society with its dependence on fast ground and air transportation as well as reliable electricity generation would not function without fluid flow. The main objectives of the course are to convey to the students an overview of and familiarity with the field of fluid mechanics and the importance of this topic in the context of common engineering applications. This means that the student should acquire a general knowledge of the basic flow equations and how they are related to fundamental conservation principles and thermodynamic laws and relations. The concepts of turbulent flows and compressible flows will be introduced, and the aim is that the students should acquire the knowledge needed to be able to study courses dedicated to those subjects later. A general knowledge of, and some experience with, flow simulation software (Computational Fluid Dynamics (CFD) codes) should also be obtained after this course. The course makes a foundation for fluid related courses in, for example, the Applied Mechanics Master's programme, the Automotive Engineering Master's programme, the Sustainable Energy Systems Master's programme, and the Mobility Engineering Master's programme.

Intended Learning Outcomes

After the completing the course, each student should be able to:

**Explain**the difference between a fluid and a solid in terms of forces and deformation**Understand**and be able to explain the viscosity concept**Define**the Reynolds number- Be
**able to categorize**a flow and**have knowledge about**how to select applicable methods for the analysis of a specific flow based on category **Explain**the difference between Lagrangian and Eulerian frame of reference and know when to use which approach**Explain**what a boundary layer is and when/where/why it appears**Explain**the concepts: streamline, pathline and streakline**Understand**and be able to**explain**the concept shear stress**Explain**how to do a force balance for fluid element (forces and pressure gradients)**Understand and explain**buoyancy and cavitation**Solve**problems involving hydrostatic pressure and buoyancy**Define**Reynolds transport theorem using the concepts control volume and system**Derive**the control volume formulation of the continuity, momentum, and energy equations using Reynolds transport theorem and solving problems using those relations**Derive**the continuity, momentum and energy equations on differential form**Derive**and use the Bernoulli equation (using the relation includes having knowledge about its limitations)**Understand**and**explain**the concept Newtonian fluid**Explain**how to use nondimensional numbers and the \(\Pi\)-theorem**Explain**losses appearing in pipe flows**Explain**the difference between laminar and turbulent pipe flow**Solve**pipe flow problems using Moody charts**Explain**how the flat plate boundary layer is developed (transition from laminar to turbulent flow)**Explain**and use the Blasius equation**Define**the Reynolds number for a flat plate boundary layer**Explain**what is characteristic for a turbulent flow**Explain**Reynolds decomposition and derive the RANS equations**Understand**and**explain**the Boussinesq assumption and turbulent viscosity**Explain**the difference between the regions in a boundary layer and what is characteristic for each of the regions (viscous sub layer, buffer region, log region)**Use**von Kàrmàns integral relation**Explain**flow separation (separated cylinder flow)**Explain**how to delay or avoid separation**Derive**the boundary layer formulation of the Navier-Stokes equations**Understand**and**explain**displacement thickness and momentum thickness**Understand**,**explain**and**use**the concepts drag, friction drag, pressure drag, and lift**Understand**and**explain**how the shape and surface roughness of an object affects drag**Measure**forces on an object in a flow**Define**and**explain**vorticity**Understand**and**explain**basic concepts of compressible flows (the gas law, speed of sound, Mach number, isentropic flow with changing area, normal shocks, oblique shocks, Prandtl-Meyer expansion)

Course Literature

**Fluid Mechanics**

Frank M. White

8th revised edition (in SI units)

McGraw-Hill 2016

ISBN: 978-9-814-72017-5

Chapter 1 | Introduction |

Chapter 2 | Pressure Distribution in Fluids |

Chapter 3 | Integral Relations for a Control Volume |

Chapter 4 | Differential Relations for Fluid Flow |

Chapter 5 | Dimensional Analysis and Similarity |

Chapter 6 | Viscous Flow in Ducts |

Chapter 7 | Flow Past Immersed Bodies |

Chapter 9 | Compressible Flow |

Course Outline

In the course there are in total 21 lectures and 18 sessions with exercises. There is one compulsory hands-on fluid mechanics lab *flow around immersed bodies* and two compulsory computer assignments; CA1 *"Numerical analysis of channel flow"* and CA2 *"Numerical/theoretical study of the flow over a flat plate"*.

The hands-on lab and the two assignments are done in groups (the same groups are used for all three compulsory course elements).

Examination

Of the total 7.5 ects, 4.5 ects are awarded if passing a written exam, 1.5 ects for the hands-on lab, and 1.5 ects for the two assignments (CA1 and CA2). The three parts are reported separately in Ladok.

The written exam consists of 8 problems each of which may give 10 points, *i.e.* in total 80 points.

Grades for the course will be given as follows:

grade |
3 | 4 | 5 |

number of points on the exam |
32-47 | 48-63 | 64-80 |

Bonus points for the exam may be acquired by doing the bonus-point assignments and hand them in in time. In total, you can get 4 bonus points, 2 for each of the assignments. These bonus points will be added to the exam score and can be used at the exam and the two following re-exams.