28530 Transportprocesser - DTU

39:42

F1-1: Scalars, Vectors and Tensors

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The basic mathematical concepts used in the course are described including references to the appendix in the text book, Bird, Stewart and Lightfoot.

42:33

F1-2: Mass Conservation, Navier Stokes and…

F1-2: Mass Conservation, Navier Stokes and Laminar Flow in a Pipe

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Derivation of the mass conservation equation (3-1-4), presentation of Navier Stokes equation (5.5-6,7) and analysis of steady laminar flow in a pipe (Example 3.6-1).

25:13

F1-3: Introduction to Comsol

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The Comsol interface is described through a short demonstration with laminar flow in a pipe.

33:25

F2-1: Stress tensor

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Definition of stress tensor and equivalence with momentum flux. Definition of viscosity. Molecular origin of viscosity.

32:52

F.2-2: Equation of momentum conservation

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The equation of momentun conservation is derived from conservation in a control volume of arbitrary shape. The derivation uses the Gauss theorem. This complements the…

45:31

F.3-3: Non-dimensional form of Navier Stokes…

F.3-3: Non-dimensional form of Navier Stokes equation and rectilinear flow.

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Introduction of Reynolds number. Laminar flow in a slit and laminar neutrally boyant two phase flows.

37:01

F.3-1: Substantial derivative and modified…

F.3-1: Substantial derivative and modified pressure

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Derivation of substantial (or material) derivative, eq. 3.5-2 in Bird et al. Derivation of modified pressure, page 83 bottom in Bird et al.

47:07

F.3-2. Illustrations of convective acceleration

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Taylor vortices (Bird et al., Example 3.6-3. Shape of the surface of a rotating liquid, Bird et al., Example 3.6-4

11:13

F.3-3: Comments on CFD-2 and -3

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Interpretation of non-dimensional calculations in dimensional terms. Bernoullis equation

37:16

F4.1: Streamfunction

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Definition and interpretation of streamfunctions. Derivation of equation for streamfunction for the planar 2D Stokes equation (incompressible, Newtonian creeping flow)