A Stability Analysis for Radiation Effects on Marangoni Convection Boundary Layer Over a Permeable Surface

Authors

  • Nor Azian Aini Mat Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, 35900 Tanjong Malim, Perak, Malaysia
  • Annie Gorgey Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, 35900 Tanjong Malim, Perak, Malaysia
  • Muzirah Musa School of Educational Studies, Universiti Sains Malaysia, 11800 USM, Pulau Pinang, Malaysia
  • Nurul Akmal Mohamed Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, 35900 Tanjong Malim, Perak, Malaysia

DOI:

https://doi.org/10.37134/jsml.vol11.1.10.2023

Keywords:

permeable surface, dual solution, stability analysis

Abstract

The objectives are to derive the stability analysis theoretically and to set up the stability analysis numerically for radiation effects on Marangoni convection boundary layer over a permeable surface. The stability analysis is used to determine which branch solutions are stable and physically realisable. The stability can be tested via the smallest eigenvalue. Negative smallest eigenvalue produces an initial growth of disturbance and the flow becomes unstable. In contrast, the positive smallest eigenvalue results in an initial decay of the disturbance, thus the flow is stable. The research has an implication in order to identify which solution is stable, whether the first or the second solution.

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References

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Published

2023-03-21

How to Cite

Mat, N. A. A., Gorgey, A., Musa, M., & Mohamed, N. A. (2023). A Stability Analysis for Radiation Effects on Marangoni Convection Boundary Layer Over a Permeable Surface. Journal of Science and Mathematics Letters, 11(1), 68–72. https://doi.org/10.37134/jsml.vol11.1.10.2023

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