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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Main Authors: K.M. Sanni, S. Asghar, M. Jalil, N.F. Okechi
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379716302248
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spelling 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
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AT sasghar flowofviscousfluidalonganonlinearlystretchingcurvedsurface
AT mjalil flowofviscousfluidalonganonlinearlystretchingcurvedsurface
AT nfokechi flowofviscousfluidalonganonlinearlystretchingcurvedsurface
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