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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 1 Property of air parcel along constant B at 1A, 1B, ..,4C: and \( {T}_{i,f}^{\mathrm{ad}}(K)={T}_{\mathrm{A},\mathrm{B}}^{\mathrm{ad}}(K)={T}_{\mathrm{A}}-{\beta}_{\mathrm{ad}}\varDelta {z}_{\mathrm{A},\mathrm{B}} \) at row 1B, \( {T}_{i,f}^{\mathrm{ad}}(K)={T}_{\mathrm{B},\mathrm{C}}^{\mathrm{ad}}={T}_{\mathrm{B}}-{\beta}_{\mathrm{ad}}\varDelta {z}_{\mathrm{B},\mathrm{C}} \) at 1C, \( {T}_{i,f}^{\mathrm{ad}}(K)={T}_{\mathrm{A}*,\mathrm{B}*}^{\mathrm{ad}}={T}_{\mathrm{A}*}-{\beta}_{\mathrm{ad}}\varDelta {z}_{\mathrm{A}*,\mathrm{B}*} \) 1B*, etc., for cases 1–4 at different locations

From: Bernoulli equation and flow over a mountain

Case + location

x (km)

z (m)

p (hPa)

θ (Κ)

T (K)

B (mzs −2)

U (m s−1)

\( {T}_{i,f}^{\mathrm{ad}}(K)={T}_i-{\beta}_{\mathrm{ad}}\Delta {z}_{i,f} \)

ρ (kgm−3)

Kinetic energy (mZ s−2)

\( {C}_p\left({T}_{i,f}^{\mathrm{ad}}-T\right)\left({\mathrm{m}}^{\mathrm{z}}{\mathrm{s}}^{\hbox{-} 2}\right) \)

KE f  − KE i (mZ s−2)

1A

160

1099.

748.659

291.1

268.01

280,000

11.24

 

0.9733

63.12

  

1B

320

2391.

628.278

291.1

254.91

280,000

31.89

255.40

0.8588

508.9

487.9

445.7

1C

348

378.0

795.373

290.7

272.30

280,000

74.44

274.56

1.0178

2771.

2272.

2263.

1D

347

1087.

730.587

325.2

297.29

309,930

35.90

 

0.8563

645.9

  

1A*

160

253.9

832.548

286.9

272.24

276,007

10.39

 

1.0656

54.00

  

1B*

320

2061.

656.594

286.9

254.36

276,007

24.41

254.60

0.8994

298.13

234.9

244.1

2A

160

1123.

744.034

291.3

267.67

279,890

4.037

 

0.9685

8.154

  

2B

320

2227.

641.966

291.3

256.65

279,890

22.94

256.90

0.8715

262.3

250.

254.2

2C

340

562.3

776.768

291.3

271.01

279,890

65.61

272.90

0.9987

2155.

1898.

1892.

2A*

160

582.9

796.686

289.3

271.10

278,039

2.183

 

1.0239

2.393

  

2B*

320

2061.

656.197

289.3

256.52

278,039

18.22

256.67

0.8913

166.1

155.6

163.7

3A

160

531.3

798.692

287.4

269.55

276,000

8.159

 

1.0325

33.28

  

3B

320

2139

647.706

287.4

253.84

276,000

10.71

253.86

0.8891

57.45

17.07

24.16

3C

353

305.1

819.443

287.4

271.52

276,000

23.23

271.74

1.0516

270.0

220.9

212.5

4A

160

2870.

588.768

295.7

254.15

283,597

18.55

 

0.8072

172.0

  

4B

320

3149.

565.735

295.7

251.31

283,597

24.16

251.43

0.7844

292.5

119.5

120.5

4C

332

1087

737.338

295.6

270.99

283,597

38.19

271.42

0.9481

739.2

436.7

446.7

  1. *indicates parcel trajectory at the inflow region and at mountain peak