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Magnetohydrodynamics boundary layer flow of micropolar fluid over an exponentially shrinking sheet with thermal radiation: Triple solutions and stability analysis
Author(s) -
Yahaya Rusya Iryanti,
Md Arifin Norihan,
Mohamed Isa Siti Suzilliana Putri,
Rashidi Mohammad Mehdi
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7432
Subject(s) - mathematics , nusselt number , boundary layer , mechanics , thermal radiation , parasitic drag , flow (mathematics) , partial differential equation , magnetohydrodynamics , ordinary differential equation , shooting method , boundary value problem , fluid dynamics , mathematical analysis , magnetic field , differential equation , classical mechanics , geometry , physics , thermodynamics , turbulence , quantum mechanics , reynolds number
The flow of electrically conducting micropolar fluid past an exponentially permeable shrinking sheet in the presence of a magnetic field and thermal radiation is studied. Similarity transformations are applied to the governing partial differential equations to form ordinary differential equations. The solution for the resultant equations, subject to boundary conditions, is then computed numerically using the bvp4c solver in MATLAB. The effects of several parameters on the local skin friction coefficient, couple stress, Nusselt number, velocity, microrotation and temperature of the fluid are analysed. Because the numerical computations for this problem result in triple solutions, stability analysis is carried out to ascertain the stability and significance of these solutions. The first solution is revealed to be stable, hence more physically meaningful than the other solutions. Meanwhile, it is found that the increase in magnetic and thermal radiation parameters reduces the fluid temperature.