Analysis of Laminar Flow in a Porous Pipe with Slip Velocity

Author(s): 
Ashwini Bhat†, Nagaraj N. Katagi†*, N. M. Bujurke‡

Affiliation(s): 

†Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
‡Department of Mathematics, Karnatak University, Dharwad, Karnataka, India
Cite this paper
Ashwini Bhat, Nagaraj N. Katagi, N. M. Bujurke, “Analysis of Laminar Flow in a Porous Pipe with Slip Velocity”, Journal of Mechanical Engineering Research and Developments, vol. 40, no. 4, pp. 526-536, 2017. DOI: 10.7508/jmerd.2017.04.001

ABSTRACT: In this manuscript, we present the semi-numerical solution for laminar flow in a porous pipe with velocity slip. The flow is analyzed by employing Computer extended series method(CES) and Homotopy analysis method(HAM). The primary objective is to study the influence of non-zero tangential slip velocity on the velocity field and shear stress. The convergence region of the obtained solutions are examined by Domb-Sykes plot and -curve. The validity of the series solution is further extended to a larger value of Reynolds number for different slip coefficients. Finally, we compared the results obtained by the proposed methods, and are presented in the form of graphs. The above methods admits desired accuracy and are validated with the available numerical results. 

Keywords : Computer extended series; Homotopy analysis method; Reynold number; Domb-Sykes plot; curve; Velocity profiles; Pressure gradient.

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