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A polytropic process is a thermodynamic process that obeys the relation: = where p is the pressure , V is volume , n is the polytropic index , and C is a constant. The polytropic process equation describes expansion and compression processes which include heat transfer.
The Euler equations first appeared in published form in Euler's article "Principes généraux du mouvement des fluides", published in Mémoires de l'Académie des Sciences de Berlin in 1757 [3] (although Euler had previously presented his work to the Berlin Academy in 1752). [4]
The normalized density as a function of scale length for a wide range of polytropic indices. In astrophysics, a polytrope refers to a solution of the Lane–Emden equation in which the pressure depends upon the density in the form = (+) / = + /, where P is pressure, ρ is density and K is a constant of proportionality. [1]
Hydraulic head or piezometric head is a measurement related to liquid pressure (normalized by specific weight) and the liquid elevation above a vertical datum. [ 1 ] [ 2 ] It is usually measured as an equivalent liquid surface elevation, expressed in units of length, at the entrance (or bottom) of a piezometer .
Pressure head is a component of hydraulic head, in which it is combined with elevation head. When considering dynamic (flowing) systems, there is a third term needed: velocity head. Thus, the three terms of velocity head, elevation head, and pressure head appear in the head equation derived from the Bernoulli equation for incompressible fluids:
Utah State continues to be a tournament team no matter who the head coach is, but the Aggies are now in double-digit seed territory after it suffered the season sweep to New Mexico. A 3-1 Quad 1 ...
Indianapolis head coach Chuck Pagano and later team officials were notified. At halftime, the NFL conducted a rushed measurement of the Patriots' footballs (each team uses their own in a game) and ...
Ariana Grande is bringing her wicked sense of style to the 2025 Critics Choice Awards red carpet!. On Friday, Feb. 7, the multi-hyphenate stepped out at the Critics Choice Awards in Los Angeles ...