Rheological behavior of 10W40 base oil containing different combinations of MWCNT-Al2O3 nanoparticles and determination of the target nano-lubricant for industrial applications

Micro and Nano Systems Letters

Table 10 ANOVA for Response surface quartic model

Source	Sum of squares	df	Mean square	F value	p-value
Source	Sum of squares	df	Mean square	F value	Prob > F
Model	10,913.38	17	641.96	34,257.29	< 0.0001	significant
A-T	460.77	1	460.77	24,588.31	< 0.0001
C-Shear rate	3.50	1	3.50	186.72	< 0.0001
AC	0.20	1	0.20	10.81	0.0012
A²	19.81	1	19.81	1057.19	< 0.0001
B²	0.12	1	0.12	6.17	0.0141
A²B	1.78	1	1.78	95.02	< 0.0001
AB²	0.085	1	0.085	4.55	0.0346
AC²	1.21	1	1.21	64.69	< 0.0001
BC²	0.095	1	0.095	5.05	0.0260
A³	19.53	1	19.53	1042.20	< 0.0001
B³	16.92	1	16.92	903.16	< 0.0001
C³	0.24	1	0.24	12.62	0.0005
A²C²	0.82	1	0.82	43.83	< 0.0001
AB³	13.87	1	13.87	740.28	< 0.0001
A⁴	0.57	1	0.57	30.64	< 0.0001
B⁴	0.30	1	0.30	15.98	< 0.0001
C⁴	0.60	1	0.60	32.17	< 0.0001
Residual	2.92	156	0.019
Cor Total	10,916.30	173