# A Stability Analysis of Boundary Layer Stagnation-Point Slip Flow and Heat Transfer towards a Shrinking/Stretching Cylinder over a Permeable Surface

## Authors

• Nurul Shahirah Mohd Adnan Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• Ahmad Nazri Mohamad Som Centre of Foundation Studies for Agriculture Sciences, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• Norihan Md. Arifin Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• Norfifah Bachok Centre of Foundation Studies for Agriculture Sciences, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• Fadzilah Md Ali Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• Yong Faezah Rahim Centre of Foundation Studies for Agriculture Sciences, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

## Keywords:

Stability analysis, Stagnation-point, Heat transfer, Shrinking/Stretching cylinder, Permeable surface

## Abstract

A stability analysis of dual solution for the problem of stagnation-point slip flow over a stretching or shrinking cylinder is studied. The partial differential equations governing will be transformed to a set of coupled nonlinear nonsimilar equations via similarity transformations. The transformed governing equations are solved numerically using the bvp4c function in MATLAB software. Numerical calculations exhibit the existence of dual solution and the implementation of stability analysis proved that the first solution is stable and physically realizable.

2020-12-06

## How to Cite

Mohd Adnan, N. S. ., Mohamad Som, A. N. ., Md. Arifin, N. ., Bachok, N. ., Md Ali, F. ., & Rahim, Y. F. . (2020). A Stability Analysis of Boundary Layer Stagnation-Point Slip Flow and Heat Transfer towards a Shrinking/Stretching Cylinder over a Permeable Surface. CFD Letters, 12(11), 97–105. https://doi.org/10.37934/cfdl.12.11.97105
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