<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This analysis is to study the incompressible mixed convection laminar Newtonian flow through concentric cylindrical annulus associated with slip and convective boundary conditions. This presentation considered the cross diffusions and chemical reaction effects also. The fluid flow in an annulus is due to the rotation of the outer cylinder with constant velocity. The analysis of such kind of fluid flow is governed by nonlinear partial differential equations. The governing system of equations were mapped into dimensionless system with appropriate transformations.  The system has been solved using Homotopy Analysis Method (HAM). The influence of Soret, Dufour, slip parameter and the chemical reaction parameter on velocity, temperature and concentration are investigated, and presented through plots. The maximum values of slip leads to increase in velocity and temperature profiles. Further the impact of boundary conditions on velocity, temperature and concentration are also presented.</p>
</abstract>

This analysis is to study the incompressible mixed convection laminar Newtonian flow through concentric cylindrical annulus associated with slip and convective boundary conditions. This presentation considered the cross diffusions and chemical reaction effects also. The fluid flow in an annulus is due to the rotation of the outer cylinder with constant velocity. The analysis of such kind of fluid flow is governed by nonlinear partial differential equations. The governing system of equations were mapped into dimensionless system with appropriate transformations.  The system has been solved using Homotopy Analysis Method (HAM). The influence of Soret, Dufour, slip parameter and the chemical reaction parameter on velocity, temperature and concentration are investigated, and presented through plots. The maximum values of slip leads to increase in velocity and temperature profiles. Further the impact of boundary conditions on velocity, temperature and concentration are also presented.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

This analysis is to study the incompressible mixed convection laminar Newtonian flow through concentric cylindrical annulus associated with slip and convective...

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

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

Publicado en línea: 18 dic 2019

Páginas: 475 - 488

Recibido: 07 may 2019

Aceptado: 05 jul 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00045

Palabras clave
Mixed Convection, cross diffusion effects, Chemical reaction, convective boundary, Navier slip, HAM

© 2019 K. Kaladhar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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Convergence of HAM solutions for different order of approximations

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

Publicado en línea: 18 dic 2019

Páginas: 475 - 488

Recibido: 07 may 2019

Aceptado: 05 jul 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00045

Palabras claveMixed Convection, cross diffusion effects, Chemical reaction, convective boundary, Navier slip, HAM

© 2019 K. Kaladhar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

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Fig. 9

Fig. 10

Fig. 11

Fig. 12

Fig. 13

Fig. 14

Fig. 15

Fig. 16

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Fig. 18

Fig. 19

Fig. 20

Fig. 21

Convergence of HAM solutions for different order of approximations

Palabras clave
Mixed Convection, cross diffusion effects, Chemical reaction, convective boundary, Navier slip, HAM