Mathematical Methods and Fluid Mechanics: Block 2

Mathematical Methods and Fluid Mechanics: Block 2

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Publisher's Synopsis

Block 2 again contains a further 4 units and starts by investigating the motion of a fluid that is assumed to be incompressible (its volume cannot be reduced) and inviscid (there is no internal friction).Unit 5 Kinematics of fluids introduces the equations of streamlines and pathlines, develops the concept of a stream function as a method of describing fluid flows, and formulates Euler's equation of motion for an inviscid fluid.Unit 6 BernoulliÆs equation analyses an important equation arising from integrals of EulerÆs equation for the flow of an inviscid fluid. It relates pressure, speed and potential energy, and is presented in various forms. BernoulliÆs equation is used to investigate phenomena such as flows through pipes and apertures, through channels and over weirs.Unit 7 Vorticity discusses two important mathematical tools for modelling fluid flow, the vorticity vector (describing local angular velocity) and circulation. The effects of viscosity on the flow of a real (viscous) fluid past an obstacle are described.Unit 8 The flow of a viscous fluid establishes the Navier-Stokes equations of motion for a viscous fluid, and investigates some of their exact solutions and some of the simplifications that can be made by applying dimensional arguments.Please note this book refers to the use of other materials, therefore you are advised that you may also need to purchase the Audio CD Pack (order code MST326/CDAPACK)

Book information

ISBN: 9780749223113
Publisher: The Open University
Imprint: Pearson Education
Pub date:
Language: English
Number of pages: 224
Weight: -1g