By Oertel, Herbert
Dieses Buch wendet sich an Studenten der Ingenieurwissenschaften und Ingenieure der Raumfahrtindustrie und der Energieverfahrenstechnik. Es verkn?pft die klassischen Gebiete der Aerodynamik mit der Nichtgleichgewichts-Thermodynamik hei?er Gase. Am Beispiel des Wiedereintritts einer Raumkapsel in die Erdatmosph?re werden die aerothermodynamischen Grundlagen und numerischen Methoden zur Berechnung des Str?mungsfeldes der Raumkapsel im gaskinetischen und kontinuumsmechanischen Bereich der Wiedereintrittstrajektorie behandelt. Am Beispiel von Raumfahrtprojekten werden die Methoden entwickelt. Die Autoren sind anerkannte Spezialisten f?r dieses Fachgebiet.
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Extra resources for Aerothermodynamik German
Rearranging eq. 11] Fermi-Dirac Statistics Enrico Fermi and Paul. A. Dirac (1926) From the introduction to this section we know that the particles are indistinguishable and can only realise occupation numbers of either 0 or 1 (particles) per available state. Hence, there simply must be more (or equal) states than particles. © Dr.
E. 8] 0 © Dr. Peter Blümler School of Physical Sciences University of Canterbury page:50 PH 605: Thermal & Statistical Physics 4. Quantum Statistics The density of frequencies, N(ν)dν, can be deduced from the density of states (cf. eq. 9] In these equations, c is the velocity of the phonons (speed of sound). But we remember, that in a solid the velocity of sound propagation depends on the direction of propagation, and that we have to distinguish between: • longitudinal waves ⇒ compression of lattice • transverse waves ⇒ shear of lattice (see figure below) This is comparable to different polarisation directions of light waves (see later in ‘black-body radiation).
15] Similarly we would get N 2 D (ν) ∝ ν for a "two-dimensional lattice" N 1D (ν ) ∝ const . 5 νD What we are after is an expression for the internal energy (cf. eq. 7]). But we have to be careful now, because N(ν)dν already contains the 3N degrees of freedom (or the density of states/degeneracy of the 3N oscillators). Hence we need the vibrational energy of a 1D-oscillator. νD E= ∫ N (ν) Eν vib,1D dν 0 © Dr. Peter Blümler School of Physical Sciences University of Canterbury page:54 PH 605: Thermal & Statistical Physics 4.