Further consideration of the shape-factor relationship for turbulent boundary layers

The lag-entrainment predictive scheme developed by Green et al. has been modified to include the pressure-gradient parameter Π₁. In the original model suggested by Green et al. the mass-flow shape factor H₁ is related to the common shape factor H, H₁ = f(H). In the present model H₁ is related to H, Reynolds number based on the local momentum thickness θ, and Π₁; thus H₁ = f(H, R_eθ, Π₁). The modified formula for H₁, is introduced into the original lag-entrainment integral model. Calculations are made to examine the present model for the predictions of the development of boundary layers approaching separation studied experimentally by the authors. Slightly improved predictions are obtained using the model developed by El Telbany et al. However, the present model proved to give an improved representation of the development of wall shear stress in cases the two-equation turbulence model proved to be unsuccessful.     

Design,synthesis, and antimicrobial activity of some new pyrazolo[3,4‐d]pyrimidines

2‐Benzyl‐ and 2‐aryloxymethyl‐3‐amino‐1‐phenyl‐pyrazolo[3,4‐d]pyrimidine‐4‐ones 5a–f have been synthesized by reacting the corresponding arylacetylamino derivatives 3a–f with hydrazine hydrate. Thionation of compounds 5d–f by action of P₂S₅ in pyridine yielded 2‐aryloxy‐methyl‐3‐amino‐1‐pheny‐lpyrazolo[3,4‐d]pyrimidin‐4‐thions 6a–c . 2,5‐Diphenyl‐2,3‐dihydro‐1H‐pyrazolo[5′,1′:4:5]pyrazolo[3,4‐d]pyrimidine‐8‐one ( 8 ) was also obtained via reaction of ethyl‐2‐cinnamoylamino‐1‐phenyl‐pyrazole‐4‐car‐boxylate ( 7 ) with hydrazine hydrate. The prepared compounds were screened in vitro for their antimicrobial activity. Some of the tested compounds were found to be active at 100 μg/ml compared with reference compounds (Ampicillin and Trivid) as antibacterial agents and claforan as antifungal agent. © 2003 Wiley Periodicals, Inc. Heteroatom Chem 14:530–534, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/hc.10187