A finite-difference technique is used to calculate the die swell of a Newtonian liquid emerging from a capillary at zero Reynolds number. There is semi-quantitative agreement with experimental results. The experimental die swell is 13·5%; this theory predicts a die swell of 6·3%.
The paper presents explicit formulas for calculating normals to surfaces generated by the butterfly interpolatory subdivision scheme from a general initial triangulation of control points. Two applications of these formulas are presented: building offsets to surfaces generated by the butterfly scheme and Gouraud shading of surfaces generated by this scheme as well as shading of their offsets.
We report a facile and rapid removal of Boc protecting groups using Air Max 2013 Noir microwave heating in H2O, with deprotection only requiring a free carboxylic acid group in the starting material. Unlike previous approaches, no additional reagents are required.
The fundamental equations Air Max 87
of the problem of generalized thermoelasticity with one relaxation time parameter including heat sources have been written in Air Max 2013 Homme
the form of a vector–matrix differential equation in the Laplace transform domain and then solved by the eigenvalue approach. The inverse transforms for the field variables are obtained in an approximate manner using asymptotic expansion valid for short times.