Table 2 Comparison of results for the reduced Sherwood number $\mathbf{-}\mathit{\varphi }\mathbf{(}\mathbf{0}\mathbf{)}$ with $\mathit{M}\mathbf{=}\mathbf{0}$ , $\mathit{Pr}\mathbf{=}\mathbf{10}$ , $\mathit{Le}\mathbf{=}\mathbf{10}$

0.1

0.1

2.1294

2.127980595220

2.129393826738

2.129393826738

2.129393826738

0.2

2.2740

2.269600795082

2.274021155237

2.274021155237

2.274021155237

0.3

2.5286

2.522442790300

2.528634341968

2.528634341973

2.528634341973

0.4

2.7952

2.789547614977

2.795197381386

2.795197381518

2.795197381518

0.5

3.0351

3.031692110921

3.035086541257

3.035086542806

3.035086542806

0.2

0.1

2.3819

2.381135534775

2.381870765082

2.381870765082

2.381870765082

0.2

2.5152

2.513872542870

2.515221791508

2.515221791508

2.515221791508

0.3

2.6555

2.654621334344

2.655461783297

2.655461783300

2.655461783300

0.4

2.7818

2.782448136707

2.781787213285

2.781787213347

2.781787213347

0.5

2.8883

2.891077315907

2.888289878800

2.888289879328

2.888289879328

0.3

0.1

2.4100

2.409868561539

2.410018897249

2.410018897249

2.410018897249

0.2

2.5150

2.515064990923

2.514994504216

2.514994504216

2.514994504216

0.3

2.6088

2.609550527921

2.608824244439

2.608824244440

2.608824244440

0.4

2.6876

2.689475214512

2.687604301826

2.687604301841

2.687604301841

0.5

2.7519

2.755453212842

2.751842541500

2.751842541544

2.751842541544

0.4

0.1

2.3997

2.399691610597

2.399650250624

2.399650250624

2.399650250624

0.2

2.4807

2.480840530130

2.480738445269

2.480738445269

2.480738445269

0.3

2.5486

2.548758207066

2.548611975329

2.548611975329

2.548611975329

0.4

2.6038

2.604477947716

2.603832566300

2.603832566297

2.603832566297

0.5

2.6483

2.650218941812

2.648243871234

2.648243871122

2.648243871122

0.5

0.1

2.3836

2.383468564586

2.383571426509

2.383571426509

2.383571426509

0.2

2.4468

2.446168708773

2.446806984545

2.446806984545

2.446806984545

0.3

2.4984

2.497045285759

2.498378497565

2.498378497565

2.498378497565

0.4

2.5399

2.538409035362

2.539849811783

2.539849811777

2.539849811777

0.5

2.5731

2.572599764241

2.573109330795

2.573109330658

2.573109330658