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Martha H. Braun
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Advanced Methods for the Solution of Differential Equations
This book is based on a course presented at the Lewis Research Center for engineers and scientists who were interested in increasing their knowledge of differential equations. Those results which can actually be used to solve equations are therefore emphasized; and detailed proofs of theorems are, for the most part, omitted. However, the conclusions of the theorems are stated in a precise manner, and enough references are given so that the interested reader can find the steps of the proofs.
H. Braun
None
White Pigments
ALMOST EVERYTHING MANMADE THAT IS WHITE or light in color contains white pigment in its surface: houses inside and outside, industrial articles, plastics, glazes, rubber, printed surfaces, many paper products, and even some foods. Only papers and textiles can be white without pigment. Virtually all this whiteness and lightness is supplied by titanium dioxide (TiO2) pigments. Void pigments make a minor contribution. The classic white pigmentslithopone, zinc sulfide, and the white leadshave essentially disappeared from commerce because TiO2 pigments perform much better, are much cheaper, and are nontoxic. Zinc oxide is still added to some paints as a mildewstat, but not for use as a white pigm...
Braun-Kirschberg, H., 1887-
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Turbulent Boundary Layer on a Yawed Cone in a Supersonic Stream
The momentum integral equations are derived for the boundary layer on an arbitrary curved surface, using a streamline coordinate system. Computations of the turbulent boundary layer on a slightly yawed cone are made for a Prandtl number of 0.729, wall to free-stream temperature ratios of 1/2, 1, and 2, and Mach numbers from 1 to 4. Deflection of the fluid in the boundary layer from outer stream direction, local friction coefficient, displacement surface, lift coefficient, and pitching-moment coefficient are presented.
