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Soret and Dufour effects on chemically reacting mixed convection flow in an annulus with Navier slip and convective boundary conditions

K. Kaladhar

K. Kaladhar

Department of Mathematics, National Institute of TechnologyPuducherry, India
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Kaladhar, K.
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E. Komuraiah

E. Komuraiah

Department of Mathematics, National Institute of TechnologyPuducherry, India
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Komuraiah, E.
 e 
K. Madhusudhan Reddy

K. Madhusudhan Reddy

Department of Mathematics, National Institute of TechnologyPuducherry, India
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Reddy, K. Madhusudhan
  
18 dic 2019
Soret and Dufour effects on chemically reacting mixed convection flow in an annulus with Navier slip and convective boundary conditions's Cover Image
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Pubblicato online: 18 dic 2019
Pagine: 475 - 488
Ricevuto: 07 mag 2019
Accettato: 05 lug 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00045
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© 2019 K. Kaladhar et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.

Fig. 1

Flow model and coordinate system.
Flow model and coordinate system.

Fig. 2

The h curve of f (λ)
The h curve of f (λ)

Fig. 3

The h curve of θ(λ)
The h curve of θ(λ)

Fig. 4

The h curve of ϕ(λ)
The h curve of ϕ(λ)

Fig. 5

The average residual error of f(η)
The average residual error of f(η)

Fig. 6

The average residual error of θ(η)
The average residual error of θ(η)

Fig. 7

The average residual error of ϕ(η)
The average residual error of ϕ(η)

Fig. 8

Comparison between exact solution and HAM solution
Comparison between exact solution and HAM solution

Fig. 9

Soret effect on f(λ)
Soret effect on f(λ)

Fig. 10

Soret effect on θ(λ)
Soret effect on θ(λ)

Fig. 11

Soret effect on ϕ(λ)
Soret effect on ϕ(λ)

Fig. 12

Dufour effect on f(λ)
Dufour effect on f(λ)

Fig. 13

Dufour effect on θ(λ)
Dufour effect on θ(λ)

Fig. 14

Dufour effect on ϕ(λ)
Dufour effect on ϕ(λ)

Fig. 15

Chemical reaction effect on f(λ)
Chemical reaction effect on f(λ)

Fig. 16

Chemical reaction effect on θ(λ)
Chemical reaction effect on θ(λ)

Fig. 17

Chemical reaction effect on ϕ(λ)
Chemical reaction effect on ϕ(λ)

Fig. 18

Slip parameter α effect on f(λ)
Slip parameter α effect on f(λ)

Fig. 19

Slip parameter α effect on θ(λ)
Slip parameter α effect on θ(λ)

Fig. 20

Effect of Biot number on f(λ)
Effect of Biot number on f(λ)

Fig. 21

Effect of Biot number on θ(λ)
Effect of Biot number on θ(λ)

Convergence of HAM solutions for different order of approximations

Order f(0.625) θ(0.625) ϕ(0.625)
1 0.5416666667 0.3666666667 0.5000000000
5 0.5619283426 0.5695150828 0.6598993682
10 0.5676777029 0.6145704469 0.6609103869
15 0.5721409664 0.6521028178 0.6609606293
20 0.5721400760 0.6528592396 0.6609637969
25 0.5721449944 0.6528630576 0.6609640277
30 0.5721440877 0.6528670424 0.6609640454
35 0.5721447093 0.6528677573 0.6609640445
40 0.5721447503 0.6528677582 0.6609640446
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Inglese
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Scienze biologiche, Scienze della vita, altro, Matematica, Matematica applicata, Matematica generale, Fisica, Fisica, altro
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