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Self-similar interfacial and wetting...

Kalliadasis, Serafim.

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Self-similar interfacial and wetting dynamics.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Self-similar interfacial and wetting dynamics./
作者:	Kalliadasis, Serafim.
面頁冊數:	316 p.
附註:	Source: Dissertation Abstracts International, Volume: 56-01, Section: B, page: 3800.
Contained By:	Dissertation Abstracts International56-01B.
標題:	Engineering, Chemical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9507277

Self-similar interfacial and wetting dynamics.
Kalliadasis, Serafim.

Self-similar interfacial and wetting dynamics. - 316 p.

Source: Dissertation Abstracts International, Volume: 56-01, Section: B, page: 3800.

Thesis (Ph.D.)--University of Notre Dame, 1994.

This item must not be sold to any third party vendors.

Specific problems of interfacial and wetting hydrodynamics are examined. Self-similar and asymptotic techniques are used to analytically construct solutions of the lubrication approximation for the specific cases studied. The formation of drops during coating of vertical fibres is associated with unbounded solutions of the lubrication approximation. A critical film thickness as a function of the capillary lengthscale and the fibre radius is derived and is in very good agreement with existing experimental data. It is shown that below the critical thickness, finite-amplitude solitary wave solutions which prevent the approach towards drops exist. These solutions are constructed analytically with a matched asymptotic analysis. However, the drop formation problem involves contact of two phases only. An important class of problems arises when a three phase contact line is present. A general theory based on the lubrication approximation is developed for wetting and non-wetting fluids. A matched asymptotic analysis derives a constitutive relation for the apparent dynamic contact angle that the liquid-gas interface forms with the solid substrate, as a function of the speed of the apparent contact line. The relation is parameterized by the Hamaker's constant for long-range intermolecular Van der Waals interactions between the solid and gas molecules separated by the liquid phase. A set of general boundary conditions that can be applied at the apparent contact point of any spreading problem and in a direction normal to the contact line is also developed. The boundary conditions are used to obtain the rate of spreading of problems where the outer region can be constructed analytically. They can also be used for the numerical simulation of problems involving modelling of moving contact lines and where the outer region cannot be constructed analytically. They are applied at the outer region and in a domain the limits of which depend on the molecular lengthscale. The inner region can then be avoided and the numerical scheme will not have to resolve the rapid variation of lengthscales associated with the passage from an outer to an inner domain. The outer region has to be stationary or quasisteady and the behavior close to the contact point is universal. The constant in front of the classical Tanner's law is derived explicitly as a function of the Hamaker's constant and it is shown that when molecular forces are present the behavior of the film away from the solid boundary is dominated mainly by them with the particular mechanism that can be used to remove the singularity at the contact point--like the popular slip model--coming in to higher order. The developed boundary conditions are finally used to study the fingering instability of the advancing front of a liquid sheet flowing down a slope under the action of gravity. The critical time for the onset of the instability is then obtained as a function of the wetting characteristics of the liquid-solid pair.Subjects--Topical Terms:

1018531
Engineering, Chemical.

Self-similar interfacial and wetting dynamics.
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100 1 $a Kalliadasis, Serafim. $3 908780
245 1 0 $a Self-similar interfacial and wetting dynamics.
300 $a 316 p.
500 $a Source: Dissertation Abstracts International, Volume: 56-01, Section: B, page: 3800.
500 $a Director: Hsueh-Chia Chang.
502 $a Thesis (Ph.D.)--University of Notre Dame, 1994.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a Specific problems of interfacial and wetting hydrodynamics are examined. Self-similar and asymptotic techniques are used to analytically construct solutions of the lubrication approximation for the specific cases studied. The formation of drops during coating of vertical fibres is associated with unbounded solutions of the lubrication approximation. A critical film thickness as a function of the capillary lengthscale and the fibre radius is derived and is in very good agreement with existing experimental data. It is shown that below the critical thickness, finite-amplitude solitary wave solutions which prevent the approach towards drops exist. These solutions are constructed analytically with a matched asymptotic analysis. However, the drop formation problem involves contact of two phases only. An important class of problems arises when a three phase contact line is present. A general theory based on the lubrication approximation is developed for wetting and non-wetting fluids. A matched asymptotic analysis derives a constitutive relation for the apparent dynamic contact angle that the liquid-gas interface forms with the solid substrate, as a function of the speed of the apparent contact line. The relation is parameterized by the Hamaker's constant for long-range intermolecular Van der Waals interactions between the solid and gas molecules separated by the liquid phase. A set of general boundary conditions that can be applied at the apparent contact point of any spreading problem and in a direction normal to the contact line is also developed. The boundary conditions are used to obtain the rate of spreading of problems where the outer region can be constructed analytically. They can also be used for the numerical simulation of problems involving modelling of moving contact lines and where the outer region cannot be constructed analytically. They are applied at the outer region and in a domain the limits of which depend on the molecular lengthscale. The inner region can then be avoided and the numerical scheme will not have to resolve the rapid variation of lengthscales associated with the passage from an outer to an inner domain. The outer region has to be stationary or quasisteady and the behavior close to the contact point is universal. The constant in front of the classical Tanner's law is derived explicitly as a function of the Hamaker's constant and it is shown that when molecular forces are present the behavior of the film away from the solid boundary is dominated mainly by them with the particular mechanism that can be used to remove the singularity at the contact point--like the popular slip model--coming in to higher order. The developed boundary conditions are finally used to study the fingering instability of the advancing front of a liquid sheet flowing down a slope under the action of gravity. The critical time for the onset of the instability is then obtained as a function of the wetting characteristics of the liquid-solid pair.
590 $a School code: 0165.
650 4 $a Engineering, Chemical. $3 1018531
690 $a 0542
710 2 $a University of Notre Dame. $3 807615
773 0 $t Dissertation Abstracts International $g 56-01B.
790 $a 0165
791 $a Ph.D.
792 $a 1994
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9507277