Ebook Theoretical fluid mechanics: Part 1

(BQ) Part 1 book "Theoretical fluid mechanics" has contents: Mathematical models of fluid motion; hydrostatics, surface tension, incompressible inviscid flow, two - dimensional incompressible inviscid flow, two dimensional potential flow, axisymmetric incompressible inviscid fow,. And other contents. | Richard Fitzpatrick Theoretical Fluid Mechanics Contents 1 2 Mathematical Models of Fluid Motion Introduction . . . . . . . . . . . . . . . . . . . . What is a Fluid? . . . . . . . . . . . . . . . . . . Volume and Surface Forces . . . . . . . . . . . . General Properties of Stress Tensor . . . . . . . . Stress Tensor in a Static Fluid . . . . . . . . . . . Stress Tensor in a Moving Fluid . . . . . . . . . Viscosity . . . . . . . . . . . . . . . . . . . . . . Conservation Laws . . . . . . . . . . . . . . . . Mass Conservation . . . . . . . . . . . . . . . . Convective Time Derivative . . . . . . . . . . . . Momentum Conservation . . . . . . . . . . . . . Navier-Stokes Equation . . . . . . . . . . . . . . Energy Conservation . . . . . . . . . . . . . . . Equations of Incompressible Fluid Flow . . . . . Equations of Compressible Fluid Flow . . . . . . Dimensionless Numbers in Incompressible Flow . Dimensionless Numbers in Compressible Flow . Fluid Equations in Cartesian Coordinates . . . . Fluid Equations in Cylindrical Coordinates . . . . Fluid Equations in Spherical Coordinates . . . . Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 1 2 4 6 7 9 10 10 11 12 14 14 17 18 19 20 24 25 27 28 Hydrostatics Introduction . . . . . . . . . . . . . Hydrostatic Pressure . . . . . . . . Buoyancy . . . . . . . . . . . . . . Equilibrium of Floating Bodies . . . Vertical Stability of Floating Bodies Angular Stability of Floating Bodies Determination of Metacentric .

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