965:
851:
31:
908:
271:
724:
88:
Treatment of the equations of gaseous behaviour at rest is generally taken, as in hydrostatics, to begin with a consideration of the general equations of momentum for fluid flow, which can be expressed as:
526:
94:
570:
460:
391:
620:
424:
46:
is the study of gases that are not in motion with respect to the coordinate system in which they are considered. The corresponding study of gases in motion is called
321:
294:
613:
593:
361:
341:
530:
However, the presence of a non-constant density as is found in gaseous fluid systems (due to the compressibility of gases) requires the inclusion of the
729:
which can be employed to compute the pressure distribution in gases whose thermodynamic states are given by the equation of state for ideal gases.
892:
471:
949:
1006:
1045:
822:
885:
463:
266:{\displaystyle \rho =-{\partial P \over \partial x_{j}}-{\partial \tau _{ij} \over \partial x_{i}}+\rho g_{j}}
1035:
942:
878:
539:
999:
17:
615:
the temperature of the gas, in order to render the valid aerostatic partial differential equations:
1025:
812:
719:{\displaystyle {\partial P \over \partial x_{j}}=\rho {\hat {g_{j}}}={P \over \ RT}{\hat {g_{j}}}}
429:
53:
Aerostatics studies density allocation, especially in air. One of the applications of this is the
1040:
964:
767:
366:
935:
1030:
992:
396:
738:
299:
279:
8:
972:
598:
578:
346:
326:
54:
980:
923:
866:
818:
772:
65:
850:
393:
is the momentum transport coefficient. As the fluid's static nature mandates that
976:
919:
862:
858:
1019:
531:
39:
47:
34:
A hot air balloon produced through the application of
Aerostatic principles
788:
748:
30:
915:
759:
77:
61:
754:
73:
69:
907:
521:{\displaystyle {\partial P \over \partial x_{j}}=\rho g_{j}}
466:
representing the basic equations of aerostatics is found.
363:
are the external body forces acting on the fluid, and
623:
601:
581:
542:
474:
432:
399:
369:
349:
329:
302:
282:
97:
718:
607:
587:
564:
520:
454:
418:
385:
355:
335:
315:
288:
265:
1017:
76:, which uses the principles of aerostatics to
1000:
943:
886:
817:. Springer science and business media, 2008.
1007:
993:
950:
936:
893:
879:
814:An Introduction to Theory of Fluid Flows
595:denotes the universal gas constant, and
29:
806:
804:
14:
1018:
810:
27:Study of gases that are not in motion
959:
902:
845:
801:
24:
732:
635:
627:
565:{\displaystyle {P \over \rho }=RT}
486:
478:
296:is the mass density of the fluid,
231:
213:
191:
183:
162:
147:
122:
107:
25:
1057:
811:Durst, Franz (1 September 2008).
963:
906:
849:
323:is the instantaneous velocity,
710:
670:
464:partial differential equations
171:
101:
13:
1:
794:
83:
979:. You can help Knowledge by
922:. You can help Knowledge by
865:. You can help Knowledge by
455:{\displaystyle \tau _{ij}=0}
7:
782:
744:Composition of mountain air
10:
1062:
958:
901:
844:
386:{\displaystyle \tau _{ij}}
1046:Atmospheric science stubs
768:Kinetic theory of gases
462:, the following set of
419:{\displaystyle U_{j}=0}
918:-related article is a
861:–related article is a
720:
609:
589:
566:
522:
456:
420:
387:
357:
337:
317:
290:
267:
35:
760:Gas diffusion in soil
747:Cross-section of the
721:
610:
590:
567:
523:
457:
421:
388:
358:
338:
318:
316:{\displaystyle U_{j}}
291:
289:{\displaystyle \rho }
268:
33:
1036:Fluid dynamics stubs
778:Pressure measurement
739:Atmospheric pressure
621:
599:
579:
540:
472:
430:
397:
367:
347:
327:
300:
280:
95:
973:atmospheric science
971:This article about
343:is fluid pressure,
716:
605:
585:
562:
518:
452:
416:
383:
353:
333:
313:
286:
263:
68:craft, such as an
55:barometric formula
36:
988:
987:
931:
930:
874:
873:
773:Partial pressures
713:
695:
687:
673:
649:
608:{\displaystyle T}
588:{\displaystyle R}
551:
500:
356:{\displaystyle g}
336:{\displaystyle P}
245:
205:
169:
129:
16:(Redirected from
1053:
1009:
1002:
995:
967:
960:
952:
945:
938:
910:
903:
895:
888:
881:
853:
846:
836:
835:
833:
831:
808:
725:
723:
722:
717:
715:
714:
709:
708:
699:
696:
694:
685:
680:
675:
674:
669:
668:
659:
650:
648:
647:
646:
633:
625:
614:
612:
611:
606:
594:
592:
591:
586:
571:
569:
568:
563:
552:
544:
527:
525:
524:
519:
517:
516:
501:
499:
498:
497:
484:
476:
461:
459:
458:
453:
445:
444:
425:
423:
422:
417:
409:
408:
392:
390:
389:
384:
382:
381:
362:
360:
359:
354:
342:
340:
339:
334:
322:
320:
319:
314:
312:
311:
295:
293:
292:
287:
272:
270:
269:
264:
262:
261:
246:
244:
243:
242:
229:
228:
227:
211:
206:
204:
203:
202:
189:
181:
170:
168:
160:
159:
158:
145:
143:
142:
130:
128:
120:
119:
118:
105:
66:lighter than air
21:
1061:
1060:
1056:
1055:
1054:
1052:
1051:
1050:
1026:Fluid mechanics
1016:
1015:
1014:
1013:
957:
956:
900:
899:
842:
840:
839:
829:
827:
825:
809:
802:
797:
785:
775:in gas mixtures
735:
733:Fields of study
704:
700:
698:
697:
684:
679:
664:
660:
658:
657:
642:
638:
634:
626:
624:
622:
619:
618:
600:
597:
596:
580:
577:
576:
543:
541:
538:
537:
512:
508:
493:
489:
485:
477:
475:
473:
470:
469:
437:
433:
431:
428:
427:
404:
400:
398:
395:
394:
374:
370:
368:
365:
364:
348:
345:
344:
328:
325:
324:
307:
303:
301:
298:
297:
281:
278:
277:
257:
253:
238:
234:
230:
220:
216:
212:
210:
198:
194:
190:
182:
180:
161:
154:
150:
146:
144:
138:
134:
121:
114:
110:
106:
104:
96:
93:
92:
86:
28:
23:
22:
15:
12:
11:
5:
1059:
1049:
1048:
1043:
1041:Aviation stubs
1038:
1033:
1028:
1012:
1011:
1004:
997:
989:
986:
985:
968:
955:
954:
947:
940:
932:
929:
928:
911:
898:
897:
890:
883:
875:
872:
871:
859:fluid dynamics
854:
838:
837:
824:978-3540713425
823:
799:
798:
796:
793:
792:
791:
784:
781:
780:
779:
776:
770:
765:
762:
757:
751:
745:
742:
734:
731:
712:
707:
703:
693:
690:
683:
678:
672:
667:
663:
656:
653:
645:
641:
637:
632:
629:
604:
584:
561:
558:
555:
550:
547:
515:
511:
507:
504:
496:
492:
488:
483:
480:
451:
448:
443:
440:
436:
415:
412:
407:
403:
380:
377:
373:
352:
332:
310:
306:
285:
260:
256:
252:
249:
241:
237:
233:
226:
223:
219:
215:
209:
201:
197:
193:
188:
185:
179:
176:
173:
167:
164:
157:
153:
149:
141:
137:
133:
127:
124:
117:
113:
109:
103:
100:
85:
82:
38:A subfield of
26:
9:
6:
4:
3:
2:
1058:
1047:
1044:
1042:
1039:
1037:
1034:
1032:
1029:
1027:
1024:
1023:
1021:
1010:
1005:
1003:
998:
996:
991:
990:
984:
982:
978:
974:
969:
966:
962:
961:
953:
948:
946:
941:
939:
934:
933:
927:
925:
921:
917:
912:
909:
905:
904:
896:
891:
889:
884:
882:
877:
876:
870:
868:
864:
860:
855:
852:
848:
847:
843:
826:
820:
816:
815:
807:
805:
800:
790:
787:
786:
777:
774:
771:
769:
766:
763:
761:
758:
756:
752:
750:
746:
743:
740:
737:
736:
730:
727:
705:
701:
691:
688:
681:
676:
665:
661:
654:
651:
643:
639:
630:
616:
602:
582:
573:
559:
556:
553:
548:
545:
535:
533:
532:ideal gas law
528:
513:
509:
505:
502:
494:
490:
481:
467:
465:
449:
446:
441:
438:
434:
413:
410:
405:
401:
378:
375:
371:
350:
330:
308:
304:
283:
274:
258:
254:
250:
247:
239:
235:
224:
221:
217:
207:
199:
195:
186:
177:
174:
165:
155:
151:
139:
135:
131:
125:
115:
111:
98:
90:
81:
79:
75:
71:
67:
63:
58:
56:
51:
49:
45:
41:
40:fluid statics
32:
19:
1031:Aerodynamics
981:expanding it
970:
924:expanding it
913:
867:expanding it
856:
841:
828:. Retrieved
813:
764:Gas pressure
728:
617:
574:
536:
529:
468:
275:
91:
87:
59:
52:
48:aerodynamics
43:
37:
789:Aeronautics
741:fluctuation
426:, and that
44:aerostatics
1020:Categories
830:27 October
795:References
749:atmosphere
84:Basic laws
18:Aerostatic
711:^
671:^
655:ρ
636:∂
628:∂
549:ρ
506:ρ
487:∂
479:∂
435:τ
372:τ
284:ρ
251:ρ
232:∂
218:τ
214:∂
208:−
192:∂
184:∂
178:−
163:∂
148:∂
123:∂
108:∂
99:ρ
916:aviation
783:See also
62:aerostat
755:density
74:balloon
70:airship
821:
686:
575:where
276:where
975:is a
914:This
857:This
78:float
64:is a
977:stub
920:stub
863:stub
832:2016
819:ISBN
753:Gas
72:or
60:An
1022::
803:^
726:,
572:,
534::
273:,
80:.
57:.
50:.
42:,
1008:e
1001:t
994:v
983:.
951:e
944:t
937:v
926:.
894:e
887:t
880:v
869:.
834:.
706:j
702:g
692:T
689:R
682:P
677:=
666:j
662:g
652:=
644:j
640:x
631:P
603:T
583:R
560:T
557:R
554:=
546:P
514:j
510:g
503:=
495:j
491:x
482:P
450:0
447:=
442:j
439:i
414:0
411:=
406:j
402:U
379:j
376:i
351:g
331:P
309:j
305:U
259:j
255:g
248:+
240:i
236:x
225:j
222:i
200:j
196:x
187:P
175:=
172:]
166:t
156:j
152:U
140:i
136:U
132:+
126:t
116:j
112:U
102:[
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
