Table 2 Steady drag force coefficients for two rigid spheres move with \(U_1=2U_2, a_2=2 a_1, \bar{\eta }'=0\).

From: Oscillatory interactions of two spheres in an unbounded couple stress fluid

  

\(K^{(1)}\)

  

\(K'^{(1)}\)

  

\(\alpha\)

\(\frac{h}{a_2+a_1}\)

\(\bar{\eta }=0.01\)

\(\bar{\eta }=0.1\)

\(\bar{\eta }=0.9\)

\(\bar{\eta }=0.01\)

\(\bar{\eta }=0.1\)

\(\bar{\eta }=0.9\)

 

1.05

0.219157

0.242684

0.508833

0.016907

-0.063504

-0.064621

0.5

2.00

0.248930

0.286356

0.456773

-0.010896

-0.006349

-0.007206

 

3.00

0.277976

0.321087

0.530497

0.007050

0.017141

0.070870

 

4.00

0.288067

0.333859

0.569801

0.002192

0.011370

0.059748

 

5.00

0.288347

0.334282

0.572748

-0.001408

0.006811

0.045102

 

6.00

0.287353

0.333015

0.568402

-0.002106

0.005908

0.041551

 

7.00

0.286966

0.332517

0.566430

-0.001953

0.006107

0.042343

 

8.00

0.286929

0.332473

0.566326

-0.001822

0.006278

0.043117

 

9.00

0.286951

0.332505

0.566546

-0.001791

0.006316

0.043275

 

10.00

0.286958

0.332514

0.566624

-0.001793

0.006313

0.043223

 

1.05

0.266720

0.336279

0.533235

0.047201

0.081924

0.135210

2.0

2.00

0.295545

0.362621

0.677485

0.022043

0.034450

0.031476

 

3.00

0.294807

0.361624

0.656377

0.024805

0.038214

0.046644

 

4.00

0.294635

0.361291

0.657138

0.025194

0.038606

0.045268

 

5.00

0.294583

0.361202

0.656745

0.025309

0.038719

0.045716

 

6.00

0.294562

0.361167

0.656646

0.025355

0.038764

0.045723

 

7.00

0.294552

0.361150

0.656600

0.025376

0.038784

0.045754

 

8.00

0.294547

0.361141

0.656574

0.025387

0.038795

0.045766

 

9.00

0.294543

0.361135

0.656559

0.025394

0.038801

0.045773

 

10.00

0.294541

0.361132

0.656550

0.025398

0.038805

0.045777

 

1.05

0.154570

0.214141

0.331929

-0.023220

-0.045324

-0.095081

60.0

2.00

0.495205

0.544767

0.639626

0.015888

-0.001270

-0.043219

 

3.00

0.507041

0.556232

0.650361

0.017292

0.272

-0.041319

 

4.00

0.509141

0.558263

0.652258

0.017543

0.548

-0.040978

 

5.00

0.509777

0.558878

0.652831

0.017619

0.633

-0.040874

 

6.00

0.510031

0.559124

0.653060

0.017650

0.667

-0.040833

 

7.00

0.510152

0.559240

0.653168

0.017665

0.683

-0.040813

 

8.00

0.510216

0.559302

0.653226

0.017672

0.691

-0.040802

 

9.00

0.510254

0.559338

0.653259

0.017677

0.696

-0.040796

 

10.00

0.510277

0.559361

0.653280

0.017680

0.699

-0.040792