TY - JOUR AU - Tan, J. G. AU - Lok, Yian Yian AU - Pop, I. PY - 2022/06/30 Y2 - 2024/03/29 TI - Mathematical modelling of boundary layer flow over a permeable and time-dependent shrinking sheet – A stability analysis JF - Journal of Mechanical Engineering and Sciences JA - J. Mech. Eng. Sci. VL - 16 IS - 2 SE - Article DO - 10.15282/jmes.16.2.2022.03.0699 UR - https://journal.ump.edu.my/jmes/article/view/5401 SP - 8837 - 8847 AB - <p>Micropolar fluid is one type of non-Newtonian fluid which consists of non-deformable spherical particles that suspended in viscous medium. In this paper, the problem of two-dimensional boundary layer flow over a permeable shrinking sheet with time dependent velocity in strong concentration micropolar fluid is studied theoretically. The mathematical model is governed by continuity, momentum and microrotation equations. Similarity variables are introduced so that, after performing the similarity transformation on the governing equations, the resulting system of nonlinear ordinary differential equations is then numerically solved using the program <em>bvp4c</em> in Matlab software. The effects of the micropolar material parameter, the unsteadiness parameter, the shrinking parameter and the mass suction parameter to the skin friction coefficient, velocity profiles and microrotation profiles are investigated. It is found that triple solutions exist for some values of the parameters that were considered. Based on the stability analysis that was performed, it showed that only two branches of solutions are categorized as stable, whereas one solution branch is unstable.</p> ER -