Table 5 Minimization of Entropy Generation.

From: Heat and mass transfer with entropy optimization in hybrid nanofluid using heat source and velocity slip: a Hamilton–Crosser approach

Variable

Optimized fluid parameters

 

\(\hbar\)

\(\varphi _{Rd}\)

\(\varphi _{Al}\)

M

\(\mathbb {U}\)

\(-Pr\)

Sc

\(-Hs\)

\(\zeta _{1}\)

\(-\zeta _{2}\)

Da

\(\lambda\)

Br

Re

\(\alpha\)

\(N_{g}\)-min

−0.3

0.1%

0.1%

5.32

4.82

0.19

1.44

0.97

0.61

0.56

0.80

0.96

0.36

0.26

0.27

2.3 \(E{-33}\)

−0.5

  

−11.98

−7.98

0.99

1.43

1.28

0.51

0.24

1.51

0.99

0.52

0.14

0.61

5.5 \(E{-31}\)

−0.6

  

5.15

4.52

0.18

1.35

0.72

0.46

0.52

0.96

0.71

0.

0.07

−0.50

4.8\(E{-35}\)

−1.0

  

3.36

1.96

0.64

0.25

0.85

0.07

0.01

0.35

0.40

0.53

−0.20

0.21

7.5\(E{-31}\)

−0.6

2%

1%

−6.92

−4.81

0.15

0.44

1.05

0.37

0.29

0.31

0.87

0.07

−0.51

0.21

4.9\(E{-31}\)

 

3%

 

0.33

0.37

0.11

0.76

1.01

0.46

0.27

0.15

0.77

0.03

−0.55

0.17

0.

 

4%

 

−1.55

−0.76

0.15

0.73

1.04

0.44

0.24

0.11

0.74

0.04

−0.57

0.14

2.2\(E{-32}\)

 

5%

 

−3.18

−1.71

0.16

0.74

1.02

0.43

0.24

0.12

0.70

0.03

−0.53

0.15

6.1\(E{-33}\)

 

1%

2%

1.07

1.41

0.17

1.39

0.62

0.45

0.43

1.02

0.73

−0.12

−0.01

0.48

1.4\(E{-31}\)

  

3%

1.09

1.43

0.17

1.39

0.62

0.45

0.43

1.01

0.73

−0.12

−0.01

0.48

1.1\(E{-30}\)

  

4%

−5.20

−2.64

0.13

1.38

0.60

0.45

0.37

0.97

0.76

−0.12

−0.01

0.50

3.2\(E{-33}\)

  

5%

−5.04

−2.54

0.13

1.38

0.60

0.45

0.37

0.97

0.76

−0.12

−0.01

0.49

2.9\(E{-32}\)

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