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Nonlinear Rupture of Thin Micropolar Liquid Film Under a Magnetic Field

Published online by Cambridge University Press:  09 November 2016

P.-J. Cheng ,
C.-K. Chen ,
Y.-C. Wang ,
M.-C. Lin  and
C.-K. Yang
P.-J. Cheng
Affiliation:
Department of Mechanical EngineeringFar-East UniversityTainan, Taiwan
C.-K. Chen
Affiliation:
Department of Mechanical EngineeringNational Cheng Kung UniversityTainan, Taiwan
Y.-C. Wang
Affiliation:
Department of Mechanical EngineeringNational Cheng Kung UniversityTainan, Taiwan
M.-C. Lin
Affiliation:
Department of Mechanical EngineeringNational Kaohsiung University of Applied SciencesKaohsiung, Taiwan
C.-K. Yang*
Affiliation:
Department of Mechanical EngineeringNational Kaohsiung University of Applied SciencesKaohsiung, Taiwan
*
*Corresponding author ([email protected])
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Abstract

This paper investigates the rupture problem of a thin micropolar liquid film under a magnetic field on a horizontal plate, using long-wave perturbation to resolve nonlinear evolution equations with a free film interface. The governing equation is resolved using a finite difference method as part of an initial value problem for spatial periodic boundary conditions. The effect of a micropolar liquid under a magnetic field on the nonlinear rupture mechanism is studied in terms of the micropolar parameter, R, the Hartmann constant, m and the initial disturbance amplitude, H0. Modeling results indicate that the R, m and H0 parameters strongly affect the film flow. Enhancing the micropolar and magnetic effects is found to delay the rupture time. In addition, the results show that the film rupture time increases as the values of initial disturbance magnitude decrease. The micropolar and magnetic parameters indeed play a significant role in the film flow on a horizontal plate. Moreover, the optimum conditions can be found to alter stability of the film flow by controlling the applied magnetic field.

Keywords

RuptureLong-wave perturbationMicropolar liquid
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 2 , April 2017 , pp. 249 - 256
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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