Flow of viscous fluid along a nonlinearly stretching curved surface
This paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity. The boundary layer equations are transformed into ordinary differential equations using suitable non-dimensional transformations. These equations are solved numerically using shooting...
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doaj-f7e3100968134837bdb4c3c9ef66c6602020-11-24T21:19:12ZengElsevierResults in Physics2211-37972017-01-01714Flow of viscous fluid along a nonlinearly stretching curved surfaceK.M. Sanni0S. Asghar1M. Jalil2N.F. Okechi3Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000 Islamabad, Pakistan; National Mathematical Centre, Abuja, NigeriaDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000 Islamabad, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000 Islamabad, Pakistan; Corresponding author.Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000 Islamabad, Pakistan; National Mathematical Centre, Abuja, NigeriaThis paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity. The boundary layer equations are transformed into ordinary differential equations using suitable non-dimensional transformations. These equations are solved numerically using shooting and Runge-Kutta (RK) methods. The impact of non-dimensional radius of curvature and power-law indices on the velocity field, the pressure and the skin friction coefficient are investigated. The results deduced for linear stretching are compared with the published work to validate the numerical procedure. The important findings are: (a) Slight variation of the curvature of the stretching sheet increases the velocity and the skin friction coefficient significantly. (b) The nonlinearity of the stretching velocity increases the skin friction. (c) The results for linear stretching and the flat surface are the special cases of this problem. Keywords: Boundary layer flow, Curved surface, Nonlinearly stretching surface, Variable curvaturehttp://www.sciencedirect.com/science/article/pii/S2211379716302248 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
K.M. Sanni S. Asghar M. Jalil N.F. Okechi |
spellingShingle |
K.M. Sanni S. Asghar M. Jalil N.F. Okechi Flow of viscous fluid along a nonlinearly stretching curved surface Results in Physics |
author_facet |
K.M. Sanni S. Asghar M. Jalil N.F. Okechi |
author_sort |
K.M. Sanni |
title |
Flow of viscous fluid along a nonlinearly stretching curved surface |
title_short |
Flow of viscous fluid along a nonlinearly stretching curved surface |
title_full |
Flow of viscous fluid along a nonlinearly stretching curved surface |
title_fullStr |
Flow of viscous fluid along a nonlinearly stretching curved surface |
title_full_unstemmed |
Flow of viscous fluid along a nonlinearly stretching curved surface |
title_sort |
flow of viscous fluid along a nonlinearly stretching curved surface |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2017-01-01 |
description |
This paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity. The boundary layer equations are transformed into ordinary differential equations using suitable non-dimensional transformations. These equations are solved numerically using shooting and Runge-Kutta (RK) methods. The impact of non-dimensional radius of curvature and power-law indices on the velocity field, the pressure and the skin friction coefficient are investigated. The results deduced for linear stretching are compared with the published work to validate the numerical procedure. The important findings are: (a) Slight variation of the curvature of the stretching sheet increases the velocity and the skin friction coefficient significantly. (b) The nonlinearity of the stretching velocity increases the skin friction. (c) The results for linear stretching and the flat surface are the special cases of this problem. Keywords: Boundary layer flow, Curved surface, Nonlinearly stretching surface, Variable curvature |
url |
http://www.sciencedirect.com/science/article/pii/S2211379716302248 |
work_keys_str_mv |
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