<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper, boundary layer flow over a moving flat plate with second-order velocity slip, injection and applied magnetic field is analyzed. The governing partial differential equations are converted in to a nonlinear ordinary differential equation through an appropriate similarity transformation. The resulting nonlinear equation is solved via homotopy analysis method (HAM). Errors ranging from 10–7 to 10–10 are reported for a relatively few terms. The effects of the pertinent parameters on the velocity and the shear stress are presented graphically and discussed. In the absence of magnetic field and the two slip parameters, the results are found to be in excellent agreement with the available results in the literature. It is expected that the results obtained will not only provide useful information for industrial applications but also complement the earlier works.</abstract>

In this paper, boundary layer flow over a moving flat plate with second-order velocity slip, injection and applied magnetic field is analyzed. The governing partial differential equations are converted in to a nonlinear ordinary differential equation through an appropriate similarity transformation. The resulting nonlinear equation is solved via homotopy analysis method (HAM). Errors ranging from 10–7 to 10–10 are reported for a relatively few terms. The effects of the pertinent parameters on the velocity and the shear stress are presented graphically and discussed. In the absence of magnetic field and the two slip parameters, the results are found to be in excellent agreement with the available results in the literature. It is expected that the results obtained will not only provide useful information for industrial applications but also complement the earlier works.

Effects of second-order slip and drag reduction in boundary layer flows

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Effects of second-order slip and drag reduction in boundary layer flows"}

In this paper, boundary layer flow over a moving flat plate with second-order velocity slip, injection and applied magnetic field is analyzed. The governing...

Effects of second-order slip and drag reduction in boundary layer flows

Published Online: Oct 03, 2018

Page range: 291 - 302

Received: Mar 24, 2018

Accepted: Jun 17, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00022

Keywords
Second-order slip, drag reduction, boundary-layer flow, homotopy analysis method

© 2018 Kuppalapalle Vajravelu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Effects of second-order slip and drag reduction in boundary layer flows

Published Online: Oct 03, 2018

Page range: 291 - 302

Received: Mar 24, 2018

Accepted: Jun 17, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00022

KeywordsSecond-order slip, drag reduction, boundary-layer flow, homotopy analysis method

© 2018 Kuppalapalle Vajravelu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Second-order slip, drag reduction, boundary-layer flow, homotopy analysis method