Governing equations

1. 1The continuity equation expresses the principle of mass conservation

   1. AVerdadero
   2. BFalso
2. 2The integral momentum balance states that the momentum entering in a control volume is equal to the one leaving it.

   1. AVerdadero
   2. BFalso
3. 3The material derivative is the time rate of change of a physical quantity referred to a material element that moves together with the fluid.

   1. AVerdadero
   2. BFalso
4. 4Macroscopic balances apply to control volumes; while microscopic balances refer to infinitesimal volumes and are valid at any point in the flow

   1. AVerdadero
   2. BFalso
5. 5Which of these is true

   1. AThe Reynolds transport theorem is useful for transforming conservation equations from their naturally occurring control volume forms to their system forms
   2. BThe Reynolds transport theorem is applicable only to non-deforming control volumes
   3. CThe Reynolds transport theorem can be applied to both steady and unsteady flow fields
   4. DThe Reynolds transport theorem can be applied to both scalar and vector quantities
6. 6Which of these are true ?

   1. AThere are two fundamental descriptions of fluid motion, Lagrangian and Eulerian.
   2. BIn a Lagrangian description, we define a control volume through which fluid flows in and out
   3. CIn the Eulerian description, we follow individual fluid particles or collections of fluid particles
   4. DWe can go from the Lagrangian to the Eulerian description using the material derivative (for infinitesimal fluid particles) and the Reynolds transport theorem (for systems of finite volume)
7. 7Which of these are true ?

   1. AA Lagrangian control volume is a volume containing a fixed quantity of material
   2. BIn a Lagrangian control volume, the fluid velocity is orthogonal to
      the surface Sm of the material volume
   3. CThe Lagrangian control volume approach corresponds to studying a system rather than a fixed control volume
   4. DA stationary probe is placed in a fluid flow and measures pressure and temperature as functions of time at one location in the flow. This is an Eulerian measurement
   5. EA weather balloon is launched into the atmosphere by meteorologists. It transmits information about weather conditions to monitoring stations on the ground. This is an Eulerian measurement .
8. 8Which of these are true ?

   1. AThe incompressible Navier-Stokes equations include 5 unknowns
   2. BThe properties ρ and μ in the Navier-Stokes equations are obtained from constitutive relations
   3. CThe Navier-Stokes equations constitute a set of 3 equations
   4. DThe incompressible Navier-Stokes equations include 4 unknowns, the three velocities and pressure
9. 9Which of these are true ?

   1. ASuperficial forces in the momentum transport equation can be expressed as the scalar product of the normal to the control surface and the stress tensor
   2. BThe stress tensor depends only on the orientation of the surface and not on the position on the surface
   3. CIn static conditions, the stress tensor only consists of pressure contributions
   4. DIn dynamic condition (fluid flow), the stress tensor depends on the velocity gradient
   5. EIn dynamic condition (fluid flow), the deformation depends on the symmetric part of the velocity gradient
   6. FThe symmetric part of the stress tensor is responsible for the rigid rotation of the fluid
   7. GThe anti-symmetric part of the stress tensor is responsible for the rigid rotation of the fluid

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Fluid mechanics Test sobre Governing equations, creado por Théo Rizzo el 04/01/2022.

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Théo Rizzo

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