Under what circumstances does the concept of continuum become invalid?

The continuum definition of fluid mechanics may not be valid if a system contains too few molecules cause properties such as density, concentration and velocity are not well defined at a mathematical “point”.

What is continuum in fluids?

A continuum is an area that can keep being divided and divided infinitely; no individual particles. It is a simplification that makes it possible to investigate the movement of matter on scales larger than the distances between particles.

Why is fluid a continuum?

A fluid may be represented by a continuum, if the associated molecular mean free path, λ, is small compared to a typical length scale, L, of the problem. The mean free path is the mean distance traveled by a molecule of the fluid between collisions with other molecules.

What is meant by continuum identify its importance?

The concept of continuum is a kind of idealization of the continuous description of matter where the properties of the matter are considered as continuous functions of space variables.

What is an example of a continuum?

Frequency: The definition of continuum is a continuous series of elements or items that vary by such tiny differences that they do not seem to differ from each other. An example of a continuum is a range of temperatures from freezing to boiling.

Which of the following statements regarding the concept of continuum are correct?

which of the following statements regarding the concept of continuum are correct? Explanation : Concept of Continuum is a kind of idealization of the continuous description of matter where the properties of matter are considered as continuous function of space variables.

Is air a continuum?

Thus, except for very high altitudes, and/or for flow about very small objects, atmospheric air can be approximated as a fluid continuum. At an altitude of 400,000 ft, the molecular mean free path for atmospheric air is nearly 24 ft. Thus, at this altitude, atmospheric air cannot be modeled as afluid continuum.

Is air a Continuum?

Thus, except for very high altitudes, and/or for flow about very small objects, atmospheric air can be approximated as a fluid continuum.

Does Netflix have Continuum?

When and why is Continuum leaving Netflix? All four seasons of the show are due to leave Netflix on November 15th in the United States. The reason for the removal is that Netflix or Showcase has decided not to renew the streaming license going forward.

What is continuum process?

Continuum, or continuum concept, is a therapeutic practice based on the premise that people must be treated with great care during infancy to achieve peak physical, emotional, and mental health later in life.

How do you read a continuum?

The continuum of understanding is a process that theorizes how people understand and learn from data. Nathan Shedroff first proposed this model, describing it as a 4-step process where one’s understanding will shift and transform until it culminates as wisdom.

Is gas a continuum?

Concept of a continuum Materials, such as solids, liquids and gases, are composed of molecules separated by space. A continuum is a body that can be continually sub-divided into infinitesimal elements with properties being those of the bulk material.

What is a continuum of fluids?

Fluid as a continuum. The most fundamental idea we will need is the continuum hypothesis. In simple terms this says that when dealing with fluids we can ignore the fact that they actually consist of billions of individual molecules (or atoms) in a rather small region, and instead treat the properties of that region as if it were a continuum.

Why are rarefied gases not considered as continuum fluid?

It should be less because if molecules interaction happens it should remain within the fluid particle or if it goes outside the fluid particle other particle molecules enters that Fluid particle. So on the whole every particle has same property. Rarefied gas are not considered as continuum fluid.

What is the continuum hypothesis?

Fluid as a continuum The most fundamental idea we will need is the continuum hypothesis. In simple terms this says that when dealing with fluids we can ignore the fact that they actually consist of billions of individual molecules (or atoms) in a rather small region, and instead treat the properties of that region as if it were a continuum.

What is Knudsen number of a fluid?

For a fluid to be consider as a continuum its Knudsen number should be approaching zero. It means Either mean free path of fluid particles is very small or Characteristic length of section ,in which fluid flow, is very large.