Polytropic Process - Relationship To Ideal Processes

Relationship To Ideal Processes

For certain values of the polytropic index, the process will be synonymous with other common processes. Some examples of the effects of varying index values are given in the table.

Variation of polytropic index
Polytropic
index
Relation Effects
Although not applicable to everyday systems, negative exponents can be meaningful in some special cases not dominated by thermal interactions, such as in the processes of certain plasmas in astrophysics.

(constant)
Equivalent to an isobaric process (constant pressure)

(constant)
Equivalent to an isothermal process (constant temperature)
A quasi-adiabatic process such as in an internal combustion engine during expansion, or in vapor compression refrigeration during compression
is the adiabatic index, yielding an adiabatic process (no heat transferred)
Equivalent to an isochoric process (constant volume)

When the index n is between any two of the former values (0, 1, γ, or ∞), it means that the polytropic curve will be bounded by the curves of the two corresponding indices.

Note that, since .

Read more about this topic:  Polytropic Process

Famous quotes containing the words relationship to, relationship, ideal and/or processes:

    Women, because of their colonial relationship to men, have to fight for their own independence. This fight for our own independence will lead to the growth and development of the revolutionary movement in this country. Only the independent woman can be truly effective in the larger revolutionary struggle.
    Women’s Liberation Workshop, Students for a Democratic Society, Radical political/social activist organization. “Liberation of Women,” in New Left Notes (July 10, 1967)

    Only men of moral and mental force, of a patriotic regard for the relationship of the two races, can be of real service as ministers in the South. Less theology and more of human brotherhood, less declamation and more common sense and love for truth, must be the qualifications of the new ministry that shall yet save the race from the evils of false teaching.
    Fannie Barrier Williams (1855–1944)

    In one sense it is evident that the art of kingship does include the art of lawmaking. But the political ideal is not full authority for laws but rather full authority for a man who understands the art of kingship and has kingly ability.
    Plato (428–348 B.C.)

    All the followers of science are fully persuaded that the processes of investigation, if only pushed far enough, will give one certain solution to each question to which they can be applied.... This great law is embodied in the conception of truth and reality. The opinion which is fated to be ultimately agreed to by all who investigate is what we mean by the truth, and the object represented in this opinion is the real.
    Charles Sanders Peirce (1839–1914)