Computational fluid and solid mechanics: proceedings, First by K.J. Bathe

By K.J. Bathe

The MIT undertaking - "to collect and Academia and to nurture the subsequent iteration in computational mechanics is of serious value to arrive the hot point of mathematical modeling and numerical answer and to supply a thrilling study atmosphere for the subsequent new release in computational mechanics."

Mathematical modeling and numerical answer is this present day firmly proven in technological know-how and engineering. examine carried out in just about all branches of clinical investigations and the layout of structures in virtually all disciplines of engineering cannot be pursued successfully with out, often, extensive research according to numerical computations. the realm we are living in has been categorised via the human brain, for descriptive and research reasons, to include fluids and solids, continua and molecules; and the analyses of fluids and solids on the continuum and molecular scales have routinely been pursued individually. essentially, even if, there are just molecules and debris for any fabric that have interaction at the microscopic and macroscopic scales. for that reason, to unify the research of actual structures and to arrive a deeper realizing of the habit of nature in medical investigations, and of the habit of designs in engineering endeavors, a brand new point of research is critical.

This new point of mathematical modeling and numerical resolution doesn't only contain the research of a unmarried medium yet needs to surround the answer of multi-physics difficulties regarding fluids, solids, and their interactions, regarding multi-scale phenomena from the molecular to the macroscopic scales, and needs to contain uncertainties within the given facts and the answer effects. Nature doesn't distinguish among fluids and solids and doesn't ever repeat itself precisely. This new point of research also needs to contain, in engineering, the potent optimization of platforms, and the modeling and research of whole lifestyles spans of engineering items, from layout to fabrication, to very likely a number of maintenance, to finish of carrier.

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Extra resources for Computational fluid and solid mechanics: proceedings, First MIT Conference on Computational Fluid and Solid Mechanics, June 12-15, 2001

Example text

Due to buoyancy, the bubble will move upward until it reaches the solid surface and an equilibrium configuration is established. Two qualitatively different equilibrium configurations have been observed experimentally. In the first one, the liquid–gas interface is in contact with the solid so that a circular dry patch is formed on the solid surface. In this case, the static shape of the bubble can be found using the approach described in Sect. 2 (except that the geometric configuration here is axisymmetric rather than two-dimensional, so the equations of capillary statics have to be formulated in cylindrical coordinates).

1, to be valid and for the disjoining pressure effects, discussed in Sect. 7, to be negligible. 129) is incorporated into the model, it does not affect the interface shapes away from the apparent contact line as long as the value of d is above ∼1 μ m. 1 Thin-Film Flow Down an Inclined Plane 49 The capillary ridge in Fig. 3 is higher for the smaller precursor thickness, but the difference in height is not dramatic despite the order of magnitude difference between the values of b. Let us investigate how the global interface shape depends on the precursor film thickness.

100) In the limit of δ h → 0, the mass and momentum of the liquid inside the control volume δ V (shown in Fig. 10) approach zero, so the vector sum of all forces acting on the control volume should be zero. The contributions to the force balance which remain finite in the limit of infinitely small δ h are the force Fs , due to the surface tension acting on the side boundary of the control volume, and the forces in the two fluids acting at the top and bottom boundaries, so (1) Fis = (2) Ti j − Ti j S n j dS.

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