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CSME 2021/06
Volume 42 No.3
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245-253
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Hydromagnetic Stability of a General Viscous Fluid Film With Weakly Nonlinear Effects on a Rotating Vertical Cylinder
Ming-Che Lina and Po-Jen Chengb
aDepartment of Mechanical Engineering(Jiangong Campus), National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan, R.O.C.
bDepartment of Mechanical Engineering, Far-East University, Tainan, Taiwan 74448, R.O.C.
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Abstract:
This paper examines the hydromagnetic stability of a general viscous fluid film with weakly nonlinear effects on a rotating vertical cylinder. The power-law fluid model under an applied uniform magnetic field is used to provide a mathematical description instead of the rheology of polymer resist films. Long-wave perturbation techniques are used to derive the dimensionless generalized nonlinear kinematic equation to represent the physical coating flow. The Ginzburg-Landau equation is applied to numerically calculate pattern formation and illustrate necessary threshold conditions of the critical flow states. The influences of polymer resist films with hydromagnetic stability are studied in terms of the Hartmann constant, m, Rossby number, Ro and flow index, n on weakly nonlinear stability with a small Reynolds number. Moreover, The enhanced magnetic effects are found to the material flows as a dilatant fluid is more stable than a pseudo plastic fluid with the same coating flow.
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Keywords: hydromagnetic stability, Hartmann number, general viscous fluid
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©
2021
CSME , ISSN 0257-9731
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