Open AccessExact and Asymptotic solution of a steady two dimensional boundary layer of a Micropolar fluid flow past a moving wedge
Author(s) -
Ramesh B. Kudenatti,
V. R. Vanitha
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1597/1/012020
Subject(s) - laminar flow , boundary layer , wedge (geometry) , exact solutions in general relativity , ordinary differential equation , blasius boundary layer , boundary value problem , mathematics , similarity solution , mathematical analysis , flow (mathematics) , boundary layer thickness , compressibility , partial differential equation , mechanics , differential equation , physics , geometry
In this paper, we propose an analytic solution of a boundary value problem which models a steady, laminar, two dimensional, boundary layer flow of an incompressible and viscous micropolar fluid over a moving wedge. The governing non-linear partial differential equations are converted into highly non-linear ordinary differential equations using similarity transformations. An analytical exact solution obtained for particular values of parameters are then extended to obtain an exact solution for more general values of the parameters involved. We also propose asymptotic solution of the Micropolar boundary layer flow. The results thus obtained are compared with those of direct numerical solutions, which show a good agreement. The results are discussed in terms of velocity profiles and wall shear stresses for various physical parameters.