Mathematical Methods and Fluid Mechanics: Block 2: Course MST 326

Open University Course Team

ISBN 10: 0749223111 / ISBN 13: 9780749223113

Editore: Open University Worldwide, 2009

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• Titolo: Mathematical Methods and Fluid Mechanics: Block 2: Course MST 326
• Editore: Open University Worldwide
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0749223111
• ISBN 13: 9780749223113
• Rilegatura: Brossura
• Edizione: 1750340731.
• Condizione: Very Good
• Condizione della sovraccoperta: 7700139
• Firmato: 6/19/2025 1:45:31 PM
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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 - Bernoulli's equation analyses an important equation arising from integrals of Euler s equation for the flow of an inviscid fluid. It relates pressure, speed and potential energy, and is presented in various forms. Bernoulli s 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.