Table 2 Simulations regarding mesh free investigations via 300 elements.

From: A study of triple-mass diffusion species and energy transfer in Carreau–Yasuda material influenced by activation energy and heat source

Number of elements

\(F^{\prime}\left( {\frac{{\xi_{max} }}{2}} \right)\)

\(\theta \left( {\frac{{\xi_{max} }}{2}} \right)\)

\(\phi \left( {\frac{{\xi_{max} }}{2}} \right)\)

\(\varphi \left( {\frac{{\xi_{max} }}{2}} \right)\)

30

0.5515980408

0.5514267410

0.5149044441

0.4936033240

60

0.5253982978

0.5252814384

0.7406090811

0.4723021221

90

0.5168385792

0.5167238550

0.4937938095

0.4752159807

120

0.5125909054

0.5124762908

0.4911292118

0.4619762026

150

0.5100545434

0.5099398431

0.4895277265

0.4573310032

180

0.5100443431

0.3312308320

0.4871245361

0.4542291236

210

0.4120134643

0.3302207021

0.4750125240

0.4530081633

240

0.4139033612

0.3290202121

0.4638104243

0.4532101332

270

0.4128214241

0.3292221312

0.4636213012

0.4530903206

300

0.4128031543

0.3292307121

0.4635302140

0.4530944237