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<strong>Boundary layer stagnation-point flow over a stretching/shrinking cylinder in a nanofluid: A stability analysis</strong>

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Title Statement <strong>Boundary layer stagnation-point flow over a stretching/shrinking cylinder in a nanofluid: A stability analysis</strong>
 
Added Entry - Uncontrolled Name Abu Bakar, Nor Ashikin ; 1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis, Malaysia 2. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Bachok, Norfifah ; Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Md. Arifin, Norihan ; Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Putra Grant Scheme (Code:GP-IPS/2016/9512800)
 
Uncontrolled Index Term fluid dynamics; boundary layer flow; nanofluids
Stagnation-point flow; Stretching/shrinking cylinder; Nanofluid;Dual solutions; Stability analysis
 
Summary, etc. The stability analysis of steady boundary layer stagnation-point flow over a stretching/shrinking cylinder using Buongiorno model has been numerically studied. Using similarity transformations the governing partial differential equations have been transformed into a set of nonlinear differential equations and have been solved numerically using a shooting method in Maple software and a bvp4c method in Matlab software. These nanofluid model have been used which are taking into account the effects of Brownian motion and thermophoresis. The influences of the governing parameters namely the curvature parameter <em>γ</em>, Prandtl number <em>Pr</em>, Lewis number <em>Le</em>, Brownian motion parameter <em>Nb</em> and thermophoresis parameter <em>Nt</em> on the flow, heat and mass transfers characteristics have been presented graphically. The numerical results obtained for the skin friction coefficient, local Nusselt number and local Sherwood number have been thoroughly determined and presented graphically for several values of the governing parameters. From our investigation, it has been found that the non-unique (dual) solutions exist for shrinking cylinder and a unique solution exist for stretching cylinder. Otherwise, it has been observed that as curvature parameter increases, the skin friction coefficient, heat and mass transfer rates increase. Moreover, the stability analysis shows that the first solution is linearly stable, while the second solution is linearly unstable.
 
Publication, Distribution, Etc. Indian Journal of Pure & Applied Physics (IJPAP)
2019-02-27 09:40:58
 
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http://op.niscair.res.in/index.php/IJPAP/article/view/20407
 
Data Source Entry Indian Journal of Pure & Applied Physics (IJPAP); ##issue.vol## 57, ##issue.no## 2 (2019): Indian Journal of Pure & Applied Physics
 
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