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Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field

Nandeppanavar, Mahantesh M. / Madhusudhan, R. / Nargund, Achala L. / Sathyanarayana, S. B. / Kemparaju, M. C.

The incompressible laminar along with injection or suction over a wedge for a boundary layer flow is studied. Falkner–Skan transformations reduce the governing partial differential equations (PDEs) to two nonlinear coupled PDEs and are solved by the homotopy analysis method (HAM). The variation of a dimensionless temperature and velocity profiles $f^{'} (η)$ and $θ (η)$ for $E c = 0.001$ , $M p = 0.05$ , $m = 0.0909$ and to the nonidentical values of the parameter $s$ for injection/suction has been shown in the graph. The results hence obtained show that the flow field is determined by the existence of the applied magnetic field. The finite difference method is applied to the reduced PDEs and the velocity and temperature profiles are compared with the HAM solutions and depicted graphically. To distinguish singularities in the graph, we have applied Pade for the HAM series solution, which is depicted in graphs for all three cases. We have also estimated the radius of convergence of HAM solutions by Domb–Sykes plot for injection, no suction, and suction respectively. The important observation made by us through HAM and numerical solution is the existence of flow separation for injection, which is not shown by previous authors.

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Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field

Nandeppanavar, Mahantesh M. / Madhusudhan, R. / Nargund, Achala L. / Sathyanarayana, S. B. / Kemparaju, M. C.

The incompressible laminar along with injection or suction over a wedge for a boundary layer flow is studied. Falkner–Skan transformations reduce the governing partial differential equations (PDEs) to two nonlinear coupled PDEs and are solved by the homotopy analysis method (HAM). The variation of a dimensionless temperature and velocity profiles $f^{'} (η)$ and $θ (η)$ for $E c = 0.001$ , $M p = 0.05$ , $m = 0.0909$ and to the nonidentical values of the parameter $s$ for injection/suction has been shown in the graph. The results hence obtained show that the flow field is determined by the existence of the applied magnetic field. The finite difference method is applied to the reduced PDEs and the velocity and temperature profiles are compared with the HAM solutions and depicted graphically. To distinguish singularities in the graph, we have applied Pade for the HAM series solution, which is depicted in graphs for all three cases. We have also estimated the radius of convergence of HAM solutions by Domb–Sykes plot for injection, no suction, and suction respectively. The important observation made by us through HAM and numerical solution is the existence of flow separation for injection, which is not shown by previous authors.

Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field

Nandeppanavar, Mahantesh M. / Madhusudhan, R. / Nargund, Achala L. / Sathyanarayana, S. B. / Kemparaju, M. C.

The incompressible laminar along with injection or suction over a wedge for a boundary layer flow is studied. Falkner–Skan transformations reduce the governing partial differential equations (PDEs) to two nonlinear coupled PDEs and are solved by the homotopy analysis method (HAM). The variation of a dimensionless temperature and velocity profiles $f^{'} (η)$ and $θ (η)$ for $E c = 0.001$ , $M p = 0.05$ , $m = 0.0909$ and to the nonidentical values of the parameter $s$ for injection/suction has been shown in the graph. The results hence obtained show that the flow field is determined by the existence of the applied magnetic field. The finite difference method is applied to the reduced PDEs and the velocity and temperature profiles are compared with the HAM solutions and depicted graphically. To distinguish singularities in the graph, we have applied Pade for the HAM series solution, which is depicted in graphs for all three cases. We have also estimated the radius of convergence of HAM solutions by Domb–Sykes plot for injection, no suction, and suction respectively. The important observation made by us through HAM and numerical solution is the existence of flow separation for injection, which is not shown by previous authors.

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Title:

Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field

Contributors:

Nandeppanavar, Mahantesh M. (author) / Madhusudhan, R. (author) / Nargund, Achala L. (author) / Sathyanarayana, S. B. (author) / Kemparaju, M. C. (author)

Published in:

Heat Transfer ; 51 ; 170-192

Publication date:

2022-01-01

Size:

23 pages

ISSN:

2688-4542 , 2688-4534

DOI:

https://doi.org/10.1002/htj.22301

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Falkner–Skan transformations , magnetohydrodynamics (MHD) , compressible boundary layer flow , flow separation , suction , injection , homotopy analysis method , finite difference method (FDM)

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