气体动力学函数表

表

2

一维等熵流气动函数表（

k

＝

1.40

）

（以λ数为自变量）

a

τ

(

λ

)

π

(

λ

)

ε

(

λ

)

q(

λ

)

y(

λ

)

z(

λ

)

f(

λ

)

r(

λ

)

1.0000

1.0000

0.9999

0.9999

0.9997

0.9996

0.9994

0.9992

0.9989

0.9987

0.9983

0.9980

0.9976

0.9972

0.9967

0.9962

0.9957

0.9952

1.0000

1.0000

0.9998

0.9996

0.9993

0.9990

0.9985

0.9980

0.9973

0.9966

0.9958

0.9950

0.9940

0.9930

0.9919

0.9907

0.9894

0.9880

0.0000

0.1422

∞

1.0000

1.0000

1.0001

0.9999

1.0002

0.9995

1.0005

0.9990

1.0009

0.9981

1.0015

0.9971

1.0021

0.9958

1.0028

0.9943

1.0037

0.9926

11.2011

1.0047

0.9906

1.0058

0.9884

1.0070

0.9861

1.0083

0.9834

1.0098

0.9806

1.0113

0.9776

1.0129

0.9743

1.0147

0.9709

1.0166

0.9672

.0000

1.0000

0.0000

.0091

0.9999

0.0158

0.0158

100.010

.0183

0.9998

0.0315

0.0316

50.0200

.0274

0.9995

0.0473

0.0473

33.3633

.0365

0.9991

0.0631

0.0631

25.0400

.0457

0.9985

0.0788

0.0789

20.0500

.0548

0.9979

0.0945

0.0947

16.7267

.0639

0.9971

0.1102

0.1105

14.3557

.0731

0.9963

0.1259

0.1263

12.5800

.0822

0.9953

0.1415

.0914

0.9942

0.1571

0.1580

10.1000

.1005

0.9930

0.1726

0.1739

9.2009

.1097

0.9916

0.1882

0.1897

8.4533

.1188

0.9902

0.2036

0.2056

7.8223

.1280

0.9886

0.2190

0.2216

7.2829

.1372

0.9869

0.2344

0.2375

6.8167

.1464

0.9851

0.2497

0.2535

6.4100

.1556

0.9832

0.2649

0.2695

6.0524

.1648

0.9946

0.9812

0.9866

0.2801

0.2855

5.7356

1.0185

0.9634

.1740

0.9940

0.9791

0.9850

0.2952

0.3015

5.4532

1.0206

0.9594

.1832

0.9933

0.9769

0.9834

0.3103

0.3176

5.2000

1.0228

0.9551

.1924

0.9927

0.9745

0.9817

0.3252

0.3337

4.9719

1.0250

0.9507

.2016

0.9919

0.9721

0.9800

0.3401

0.3499

4.7655

1.0274

0.9461

0.9912

0.9904

0.9896

0.9887

0.9879

0.9869

0.9860

0.9850

0.9840

0.9829

0.9819

0.9807

0.9796

0.9784

0.9772

0.9759

0.9747

0.9733

3.6333

0.9037

.2109

0.9695

0.9781

0.3549

0.3660

4.5778

1.0298

0.9414

.2201

0.9668

0.9762

0.3696

0.3823

4.4067

1.0324

0.9365

.2294

0.9640

0.9742

0.3842

0.3985

4.2500

1.0350

0.9314

.2387

0.9611

0.9721

0.3987

0.4148

4.1062

1.0378

0.9261

.2480

0.9581

0.9699

0.4131

0.4311

3.9737

1.0406

0.9207

.2573

0.9550

0.9677

0.4274

0.4475

3.8514

1.0435

0.9152

.2666

0.9518

0.9653

0.4416

0.4640

3.7383

1.0465

0.9095

.2759

0.9485

0.9629

0.4557

0.4804

1.0496

.2853

0.9451

0.9604

0.4697

0.4970

3.5358

1.0527

0.8977

.2946

0.9415

0.9579

0.4835

0.5135

3.4450

1.0560

0.8916

.3040

0.9379

0.9552

0.4973

0.5302

3.3603

1.0593

0.8854

.3134

0.9342

0.9525

0.5109

0.5469

3.2812

1.0626

0.8791

.3228

0.9303

0.9497

0.5244

0.5636

3.2071

1.0661

0.8727

.3322

0.9264

0.9469

0.5377

0.5804

3.1378

1.0696

0.8661

.3417

0.9224

0.9439

0.5509

0.5973

3.0727

1.0732

0.8595

.3511

0.9183

0.9409

0.5640

0.6142

3.0116

1.0768

0.8528

.3606

0.9141

0.9378

0.5770

0.6312

2.9541

1.0805

0.8460

.3701

0.9097

0.9347

0.5897

0.6483

2.9000

1.0842

0.8391

.3796

0.9720

0.9053

0.9314

0.6024

0.6654

2.8490

1.0880

0.8321

.3892

0.9706

0.9008

0.9281

0.6149

0.6826

2.8010

1.0918

0.8251

.3987

0.9692

0.8962

0.9247

0.6272

0.6999

2.7556

1.0957

0.8179

.4083

0.9677

0.8915

0.9213

0.6394

0.7172

2.7127

1.0996

0.8108

.4179

0.9662

0.8868

0.9177

0.6515

0.7346

2.6722

1.1036

0.8035

0.9647

0.9632

0.9616

0.9600

0.9583

0.9567

0.9549

0.9532

0.9514

0.9496

0.9477

0.9458

0.9439

0.9420

0.9400

0.9380

0.9359

0.9338

0.7823

0.9506

2.3244

1.1528

0.7139

.4275

0.8819

0.9142

0.6633

0.7521

2.6339

1.1076

0.7962

.4372

0.8770

0.9105

0.6750

0.7697

2.5977

1.1116

0.7889

.4468

0.8719

0.9067

0.6866

0.7874

2.5633

1.1157

0.7815

.4565

0.8668

0.9029

0.6979

0.8052

2.5308

1.1197

0.7741

.4663

0.8616

0.8991

0.7091

0.8230

2.5000

1.1238

0.7667

.4760

0.8563

0.8951

0.7201

0.8410

2.4708

1.1279

0.7592

.4858

0.8510

0.8911

0.7310

0.8590

2.4431

1.1321

0.7517

.4956

0.8455

0.8870

0.7416

0.8771

2.4168

1.1362

0.7442

.5054

0.8400

0.8829

0.7521

0.8953

2.3919

1.1403

0.7366

.5152

0.8344

0.8787

0.7623

0.9137

2.3682

1.1445

0.7290

.5251

0.8287

0.8744

0.7724

0.9321

2.3457

1.1486

0.7215

.5350

0.8230

0.8701

.5450

0.8171

0.8657

0.7920

0.9693

2.3041

1.1569

0.7063

.5549

0.8112

0.8612

0.8015

0.9880

2.2849

1.1610

0.6987

.5649

0.8053

0.8567

0.8108

1.0069

2.2667

1.1651

0.6912

.5750

0.7993

0.8521

0.8199

1.0259

2.2493

1.1692

0.6836

.5850

0.7932

0.8474

0.8288

1.0450

2.2329

1.1732

0.6761

.5951

0.7870

0.8427

0.8375

1.0642

2.2173

1.1772

0.6685

.6053

0.9317

0.7808

0.8380

0.8460

1.0835

2.2025

1.1812

0.6610

.6154

0.9296

0.7745

0.8331

0.8543

1.1030

2.1885

1.1851

0.6535

.6256

0.9274

0.7681

0.8283

0.8623

1.1226

2.1752

1.1891

0.6460

.6359

0.9252

0.7617

0.8233

0.8702

1.1424

2.1625

1.1929

0.6385

.6461

0.9229

0.7553

0.8183

0.8778

1.1622

2.1506

1.1967

0.6311

0.9206

0.9183

0.9160

0.9136

0.9112

0.9087

0.9062

0.9037

0.9012

0.8986

0.8960

0.8933

0.8906

0.8879

0.8852

0.8824

0.8796

0.8767

2.0621

0.5587

.6565

0.7487

0.8133

0.8852

1.1822

2.1393

1.2005

0.6237

.6668

0.7422

0.8082

0.8924

1.2024

2.1286

1.2042

0.6163

.6772

0.7355

0.8030

0.8994

1.2227

2.1185

1.2078

0.6090

.6876

0.7289

0.7978

0.9061

1.2432

2.1089

1.2114

0.6017

.6981

0.7221

0.7925

0.9126

1.2638

2.0999

1.2149

0.5944

.7086

0.7154

0.7872

0.9189

1.2845

2.0914

1.2183

0.5872

.7192

0.7085

0.7818

0.9250

1.3055

2.0833

1.2216

0.5800

.7298

0.7017

0.7764

0.9308

1.3266

2.0758

1.2249

0.5729

.7404

0.6948

0.7710

0.9364

1.3478

2.0687

1.2281

0.5658

.7511

0.6878

0.7654

0.9418

1.3692

1.2311

.7619

0.6808

0.7599

0.9470

1.3908

2.0558

1.2341

0.5517

.7727

0.6738

0.7543

0.9519

1.4126

2.0500

1.2370

0.5447

.7835

0.6668

0.7486

0.9565

1.4346

2.0446

1.2398

0.5378

.7944

0.6597

0.7429

0.9610

1.4568

2.0395

1.2425

0.5309

.8053

0.6526

0.7372

0.9652

1.4791

2.0348

1.2451

0.5241

.8163

0.6454

0.7314

0.9692

1.5016

2.0305

1.2475

0.5174

.8274

0.6382

0.7256

0.9729

1.5244

2.0265

1.2498

0.5106

.8384

0.6310

0.7197

0.9764

1.5473

2.0228

1.2520

0.5040

.8496

0.8738

0.6238

0.7138

0.9796

1.5705

2.0194

1.2541

0.4974

.8608

0.8709

0.6165

0.7079

0.9826

1.5939

2.0164

1.2561

0.4908

.8721

0.8680

0.6092

0.7019

0.9854

1.6175

2.0136

1.2579

0.4843

.8834

0.8650

0.6019

0.6959

0.9880

1.6413

2.0111

1.2596

0.4779

.8947

0.8620

0.5946

0.6898

0.9902

1.6653

2.0089

1.2611

0.4715

0.8589

0.8558

0.8527

0.8496

0.8464

0.8432

0.8399

0.8366

0.8333

0.8300

0.8266

0.8232

0.8197

0.8162

0.8127

0.8092

0.8056

0.8020

0.5505

0.6528

0.9989

1.8147

2.0009

1.2671

0.4344

.9062

0.5873

0.6838

0.9923

1.6896

2.0070

1.2625

0.4652

.9177

0.5800

0.6776

0.9941

1.7141

2.0053

1.2637

0.4589

.9292

0.5726

0.6715

0.9957

1.7389

2.0038

1.2648

0.4527

.9409

0.5652

0.6653

0.9970

1.7639

2.0026

1.2657

0.4466

.9526

0.5578

0.6591

0.9981

1.7892

2.0017

1.2665

0.4405

0.9643

.9761

0.5431

0.6466

0.9995

1.8405

2.0004

1.2675

0.4284

.9880

0.5357

0.6403

0.9999

1.8666

2.0001

1.2678

0.4225

.0000

0.5283

0.6339

1.0000

1.8929

2.0000

1.2679

0.4167

.0120

0.5209

0.6276

0.9999

1.9196

2.0001

1.2678

0.4109

.0241

0.5135

0.6212

0.9995

1.9465

2.0004

1.2675

0.4051

.0363

0.5061

0.6148

0.9989

1.9738

2.0009

1.2671

0.3994

.0486

0.4987

0.6084

0.9981

2.0013

2.0015

1.2664

0.3938

.0609

0.4913

0.6019

0.9970

2.0292

2.0024

1.2656

0.3882

.0733

0.4840

0.5955

0.9957

2.0574

2.0034

1.2646

0.3827

.0858

0.4766

0.5890

0.9942

2.0859

2.0046

1.2634

0.3773

.0984

0.4693

0.5825

0.9924

2.1147

2.0059

1.2619

0.3719

.1111

0.4619

0.5760

0.9904

2.1439

2.0074

1.2603

0.3665