Abstract— The Reynolds’ transport theorem deals with the rate of change of an extensive property, N, of a fluid in a control volume. Its purpose is
to provide a link between the concepts associated to the control volumesand those associated to systems
.
The Reynolds transport theorem can be thought of as the integral form of the material derivative. It mainly relates the
rate of change of an extensive property of a given material volume to the rate of change of the corresponding intensive property
.
What is Reynolds transport theorem used for?
Reynolds transport theorem can be simply stated as – What was already there plus what goes in minus what comes out is equal to what is there. Reynolds theorem is used in
formulating the basic conservation laws of continuum mechanics
, particularly fluid dynamics and large-deformation solid mechanics.
Why a surface integral is used to represent flow of B into and out of the control volume?
Why a surface integral is used to represent flow of B into and out of the control volume? Explanation:
Fluid can enter into or exit from the control volume through the control surface
. If this flow velocity is integrated along the control surfaces, we can get the net inflow or outflow of fluid to the control volume.
What is control volume analysis?
Control volume is
a volume in space of special interest for particular analysis
. The surface of the control volume is referred as a control surface and is a closed surface. The surface is defined with relative to a coordinate system that may be fixed, moving or rotating.
Which of the following is are the example of creeping flow?
Examples of creeping flow include
very small objects moving in a fluid
, such as the settling of dust particles and the swimming of microorganisms.
Which of the following is an example of free vortex?
Explanation:
Flow of the liquid around a circular bend in a pipe
is an example of free vortex flow.
Navier-Stokes equation, in fluid mechanics,
a partial differential equation that describes the flow of incompressible fluids
. The equation is a generalization of the equation devised by Swiss mathematician Leonhard Euler in the 18th century to describe the flow of incompressible and frictionless fluids.
What is vortex strength?
The ‘strength’ of a vortex tube (also called vortex flux) is
the integral of the vorticity across a cross-section of the tube
, and is the same everywhere along the tube (because vorticity has zero divergence).
What is meant by stagnation pressure?
The ‘stagnation pressure’ is
the pressure that the fluid would obtain if brought to rest without loss of mechanical energy
. The difference between the two is the ‘dynamic pressure’. The ‘total pressure’ is the sum of the static pressure, the dynamic pressure, and the gravitational potential energy per unit volume.
Which of these could be an optimal mesh?
Which of these could be an optimal mesh? Explanation:
A uniform grid has all the cells with the same dimensions
. … Therefore, a non-uniform grid with more cells in the areas with large variations is an optimal way of grid generation.
How many equations are related to solving a flow field? Explanation: There are
5 equations
related to solving a flow field.
Can you control volume deform?
Finally, you may need to use a deforming control volume to solve a problem. An example of when a deforming control volume would be used is when you are analyzing a deflating balloon. When you are analyzing deforming control volume the following form of the continuity equation would need to be used.
What is the difference between system and control volume?
A control volume is quite a specific concept – a region of space inside some closed surface. Control volume is almost always of
finite dimensions
and with well defined boundary. A system is a more general concept – a set of objects, usually sharing some property.
Why control volume is called open system?
2.3 Control Volumes (or Open Systems).
It is often more convenient to keep track of a fixed volume in which mass flows in and out
. Such a system is called a control volume, or an open system. In control volume analysis, mass, heat and work can cross the system boundary (also called a control surface).
What is the use of control volume?
In continuum mechanics and thermodynamics, a control volume is
a mathematical abstraction employed in the process of creating mathematical models of physical processes
.
