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:

    Poetry is above all a concentration of the power of language, which is the power of our ultimate relationship to everything in the universe.
    Adrienne Rich (b. 1929)

    It is possible to make friends with our children—but probably not while they are children.... Friendship is a relationship of mutual dependence-interdependence. A family is a relationship in which some of the participants are dependent on others. It is the job of parents to provide for their children. It is not appropriate for adults to enter into parenthood recognizing they have made a decision to accept dependents and then try to pretend that their children are not dependent on them.
    Donald C. Medeiros (20th century)

    The ideal of men and women sharing equally in parenting and working is a vision still. What would it be like if women and men were less different from each other, if our worlds were not so foreign? A male friend who shares daily parenting told me that he knows at his very core what his wife’s loving for their daughter feels like, and that this knowing creates a stronger bond between them.
    —Anonymous Mother. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 6 (1978)

    The higher processes are all processes of simplification. The novelist must learn to write, and then he must unlearn it; just as the modern painter learns to draw, and then learns when utterly to disregard his accomplishment, when to subordinate it to a higher and truer effect.
    Willa Cather (1873–1947)