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:
“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)
“Film music should have the same relationship to the film drama that somebody’s piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (1882–1971)
“If we love-and-serve an ideal we reach backward in time to its inception and forward to its consummation. To grow is sometimes to hurt; but who would return to smallness?”
—Sarah Patton Boyle, U.S. civil rights activist and author. The Desegregated Heart, part 3, ch. 3 (1962)
“It has become a people’s war, and peoples of all sorts and races, of every degree of power and variety of fortune, are involved in its sweeping processes of change and settlement.”
—Woodrow Wilson (1856–1924)