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Fluid Dynamics
Fluid Dynamics
foundations results +19 more equations +1 more phenomena +5 more depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) step_from (declared) step_from (declared) step_from (declared) step_from (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) definition 31.1: Fluid 31.1 Fluid definition 31.2: Knudsen number 31.2 Knudsen number definition 31.4: Material derivative 31.4 Material derivat… definition 31.6: Streamline, pathline, streakline 31.6 Streamline, path… definition 31.8: Rate of strain and vorticity 31.8 Rate of strain a… definition 31.21: Ideal fluid 31.21 Ideal fluid definition 31.32: Newtonian fluid; dynamic and kinematic viscosity 31.32 Newtonian fluid;… definition 31.43: Creeping flow 31.43 Creeping flow definition 31.51: The other similarity groups 31.51 The other simila… definition 31.63: Circulation 31.63 Circulation proposition 31.7: The three coincide in steady flow 31.7 The three coinci… proposition 31.9: Cauchy–Stokes decomposition 31.9 Cauchy–Stokes de… lemma 31.11: Transport theorem for a material volume 31.11 Transport theore… theorem 31.12: Conservation of mass 31.12 Conservation of… corollary 31.13: Incompressible flow 31.13 Incompressible f… proposition 31.16: Hydrostatic balance 31.16 Hydrostatic bala… theorem 31.22: Euler's equations of motion 31.22 Euler's equation… theorem 31.24: Bernoulli 31.24 Bernoulli proposition 31.28: Potential flow reduces to Laplace's equation 31.28 Potential flow r… theorem 31.36: The Newtonian constitutive relation 31.36 The Newtonian co… theorem 31.37: The Navier–Stokes equations 31.37 The Navier–Stoke… proposition 31.39: Plane Couette flow 31.39 Plane Couette fl… proposition 31.40: Circular Couette flow 31.40 Circular Couette… equation 31.5: eq:fluid-curl-cross eq. (31.5) equation 31.4: eq:fluid-lamb-identity eq. (31.4) equation 31.10: eq:fluid-continuity eq. (31.10) equation 31.11: eq:fluid-incompressible eq. (31.11) equation 31.12: eq:fluid-stream-function eq. (31.12) equation 31.13: eq:fluid-hydrostatic eq. (31.13) equation 31.19: eq:fluid-euler eq. (31.19) equation 31.25: eq:fluid-laplace eq. (31.25) equation 31.32: eq:fluid-ns eq. (31.32) equation 31.42: eq:fluid-reynolds-number eq. (31.42) equation 31.43: eq:fluid-ns-dimensionless eq. (31.43) equation 31.51: eq:fluid-momentum-deficit eq. (31.51) equation 31.57: eq:fluid-complex-velocity eq. (31.57) phenomenon 31.17: Pascal's principle 31.17 Pascal's princip… phenomenon 31.18: Archimedes' principle 31.18 Archimedes' prin… phenomenon 31.20: Capillary rise 31.20 Capillary rise phenomenon 31.25: Pressure falls where the flow speeds up 31.25 Pressure falls w… phenomenon 31.30: Steady ideal flow exerts no drag 31.30 Steady ideal flo… phenomenon 31.34: The viscosity of a gas does not depend on its
density 31.34 The viscosity of… phenomenon 31.41: The fourth-power law of pipe flow 31.41 The fourth-power… phenomenon 31.45: Stokes drag on a sphere 31.45 Stokes drag on a… phenomenon 31.49: Dynamical similarity 31.49 Dynamical simila… phenomenon 31.53: Transition to turbulence in a pipe 31.53 Transition to tu… phenomenon 31.55: Drag, and the failure of ideal flow 31.55 Drag, and the fa… phenomenon 31.61: The vortex street and its tone 31.61 The vortex stree… phenomenon 31.78: Convective onset at a computed threshold 31.78 Convective onset… The chain of Fluid Dynamics: 49 of 74 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.