6.3
甯哥敤鐨勫湴鍩烘矇闄嶈绠楁柟娉?/p>
杩欓噷鎵�璁茬殑鍦板熀娌夐檷閲忔槸鎸囧湴鍩烘渶缁堟矇闄嶉噺锛?/p>
鐩墠甯哥敤鐨勮绠楁柟娉曟湁锛?/p>
寮规�?/p>
鍔涘娉曘�?/p>
鍒嗗眰鎬诲拰娉曘�?/p>
搴斿姏闈㈢Н娉曞拰鑰冭檻搴斿姏鍘嗗彶褰卞搷鐨勬矇闄嶈绠楁硶銆?/p>
鎵�璋撴渶缁?/p>
娌夐檷閲忔槸鍦板熀鍦ㄨ嵎杞戒綔鐢ㄤ笅娌夐檷瀹屽叏绋冲畾鍚庣殑娌夐檷閲忥紝
瑕佽揪鍒拌繖涓�娌夐檷閲忕殑鏃堕棿
鍙栧喅浜庡湴鍩烘帓姘存潯浠躲�傚浜庣爞鍦燂紝鏂藉伐缁撴潫鍚庡氨鍙互瀹屾垚锛涘浜庣矘鎬у湡锛屽皯鍒欏嚑
骞达紝澶氬垯鍗佸嚑骞淬�佸嚑鍗佸勾涔冭嚦鏇撮暱鏃堕棿銆?/p>
6.3.1
璁＄畻鍦板熀鏈�缁堟矇闄嶉噺鐨勫脊鎬у姏瀛︽柟娉?/p>
鍦板熀鏈�缁堟矇闄嶉噺鐨勫脊鎬у姏瀛﹁绠楁柟娉曟槸浠?/p>
Boussinesq
璇鹃鐨勪綅绉昏В涓轰緷鎹?/p>
鐨勩�?/p>
鍦ㄥ脊鎬у崐绌洪棿琛ㄩ潰浣滅敤鐫�涓�涓珫鍚戦泦涓姏
P
鏃讹紝
瑙佸浘
6-5
锛?/p>
琛ㄩ潰浣嶇Щ
w
(
x, y,
o
)
灏辨槸鍦板熀琛ㄩ潰鐨勬矇闄嶉噺
s
锛?/p>
E
r
P
s
2
1
飦?/p>
飦?/p>
飥?/p>
飪?
飥?/p>
锛?/p>
6-8
锛?/p>
寮忎腑
飦?/p>
鈥斿湴鍩哄湡鐨勬硦鏉炬瘮锛?/p>
E
鈥斿湴鍩哄湡鐨勫脊鎬фā閲忥紙鎴栧彉褰㈡ā閲?/p>
E
0
锛?/p>
锛?/p>
r
鈥斾负鍦板熀琛ㄩ潰浠绘剰鐐瑰埌闆嗕腑鍔?
P
浣滅敤鐐圭殑璺濈锛?/p>
2
2
y
x
r
飥?/p>
飥?/p>
銆?/p>
瀵逛簬灞�閮ㄨ嵎杞戒笅鐨勫湴鍩烘矇闄嶏紝鍒欏彲鍒╃敤涓婂紡锛屾牴鎹彔鍔犲師鐞嗘眰寰椼�傚鍥?/p>
6-6
鎵�绀猴紝璁捐嵎杞介潰绉?/p>
A
鍐?/p>
N
锛?/p>
尉锛?/p>
飦?/p>
锛夌偣澶勭殑鍒嗗竷鑽疯浇涓?/p>
p
0
锛?/p>
尉锛?/p>
飦?/p>
锛?/p>
锛屽垯璇ョ偣寰潰
绉笂鐨勫垎甯冭嵎杞藉彲涓洪泦涓姏
P=
p
0
锛埼撅紝
飦?/p>
锛?/p>
d
尉
d
飦?/p>
浠ｆ浛銆備簬鏄紝鍦伴潰涓婁笌
N
鐐?
璺濈
r =
2
2
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(
)
(
飦?/p>
飦?/p>
飥?/p>
飥?/p>
飥?/p>
y
x
鐨?/p>
M
锛?/p>
x, y
锛夌偣鐨勬矇闄?/p>
s
锛?/p>
x, y
锛?/p>
锛屽彲鐢卞紡锛?/p>
6-8
锛夌Н
鍒嗘眰寰楋細
飪诧儾
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?
A
y
x
d
d
p
E
y
x
s
2
2
0
0
2
)
(
)
(
)
,
(
1
)
,
(
飦?/p>
飦?/p>
飦?
飦?/p>
飦?/p>
飦?/p>
飦?/p>
锛?/p>
6-9
锛?/p>
鍥?/p>
6-5
闆嗕腑鍔涗綔鐢ㄤ笅鍦板熀琛ㄩ潰鐨勬矇闄嶆洸绾?/p>
鍥?/p>
6-6
灞�閮ㄨ嵎杞戒笅鐨勫湴闈㈡矇闄?/p>
锛?/p>
a
锛?/p>
浠绘剰鑽疯浇闈紱
锛?/p>
b
锛?
鐭╁舰鑽疯浇闈?/p>