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.
| 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:
“Film music should have the same relationship to the film drama that somebodys piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (18821971)
“From infancy, a growing girl creates a tapestry of ever-deepening and ever- enlarging relationships, with her self at the center. . . . The feminine personality comes to define itself within relationship and connection, where growth includes greater and greater complexities of interaction.”
—Jeanne Elium (20th century)
“Some day the soft Ideal that we wooed
Confronts us fiercely, foe-beset, pursued,
And cries reproachful: Was it then my praise,
And not myself was loved? Prove now thy truth;
I claim of thee the promise of thy youth.”
—James Russell Lowell (18191891)
“The vast results obtained by Science are won by no mystical faculties, by no mental processes other than those which are practiced by every one of us, in the humblest and meanest affairs of life. A detective policeman discovers a burglar from the marks made by his shoe, by a mental process identical with that by which Cuvier restored the extinct animals of Montmartre from fragments of their bones.”
—Thomas Henry Huxley (182595)