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Fluid flowing down an inclined plane commonly exhibits a fingering instability at a contact line in which solid, liquid, and gas phase meet. This thesis describes a theory of stability of thin viscous liquid films that flow down in an inclined plane, under the influence of the gravitational force. W...
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id-itb.:93192017-09-27T14:41:45Z#TITLE_ALTERNATIVE# SULASTERI (NIM 20106015), SRI Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/9319 Fluid flowing down an inclined plane commonly exhibits a fingering instability at a contact line in which solid, liquid, and gas phase meet. This thesis describes a theory of stability of thin viscous liquid films that flow down in an inclined plane, under the influence of the gravitational force. We present derivation of the thin film equations using the lubrication approximation. One dimensional thin film equations are then studied analytically, by means of linear stability analysis, and numerically by use of the finite difference method. To describe conditions at the contact line, we apply two models: a model with precursor, and with slip parameter. Parameters that control the stability are the gravity, precursor film thickness, contact angle, and slip parameter. Results show that the stability characteristic of the two models is similar. Numerical simulations show that the gravitational force plays a significant role in controlling the stability of the fluid flow. text |
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Indonesia |
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Fluid flowing down an inclined plane commonly exhibits a fingering instability at a contact line in which solid, liquid, and gas phase meet. This thesis describes a theory of stability of thin viscous liquid films that flow down in an inclined plane, under the influence of the gravitational force. We present derivation of the thin film equations using the lubrication approximation. One dimensional thin film equations are then studied analytically, by means of linear stability analysis, and numerically by use of the finite difference method. To describe conditions at the contact line, we apply two models: a model with precursor, and with slip parameter. Parameters that control the stability are the gravity, precursor film thickness, contact angle, and slip parameter. Results show that the stability characteristic of the two models is similar. Numerical simulations show that the gravitational force plays a significant role in controlling the stability of the fluid flow. |
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Theses |
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SULASTERI (NIM 20106015), SRI |
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SULASTERI (NIM 20106015), SRI #TITLE_ALTERNATIVE# |
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SULASTERI (NIM 20106015), SRI |
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SULASTERI (NIM 20106015), SRI |
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https://digilib.itb.ac.id/gdl/view/9319 |
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