We consider gravitational collapse of a filamentary cloud under the assumption that it is axisymmetric and uniform along the axis. The pressure is approximated by a polytrope of P = K ρ γ. We found a similarity solution for the collapse when the polytropic index lies in the range 0 < γ < 1. According to the similarity solution, the collapse consits of two phases. In the first phase the filament becomes denser and thiner. The density at the center (ρc) increases in proportion to (t0 – t) −2, where t0 denotes the epoch at the end of the first phase. Meanwhile, the filament diameter (FWHM) decreases in proportion to (t0 – t) (2−γ). The line density of the central filament of ρ > 0.1 ρc vanishes at t = t0, since it is proportional to the central density and the square of the diameter [∝ (t0 – t)2(1− γ)]. In the second phase the central filament grows in mass by accretion. The collapse in the second phase is similar to the inside-out collapse of a spherical gas cloud. When the polytropic index γ is closer to unity, the collapse is slower. When γ = 0.999, the collapse is 12-times slower than the dynamical one. We also found from numerical simulations having various initial conditions that the collapse of a filamentary cloud approaches asymptotically the similarity solution irrespectively of the initial condition.
In the last ten years, the number of golf courses has been increasing in some countries as the game gains popularity. This indicates, a need to estimate the nutrient loading from golf courses in order to prevent the eutrophication of water bodies. Nutrient concentrations and flow rates of a brook were measured once a week from 1989 to 1990 at two sites: Site A of a brook flowing out from D-golf course (53 ha) and Site B of the same brook discharging into the golf course from an upper forested basin (23 ha) covered mainly with planted Japanese cypress (Chamaecyparis obtusa SIEB. et ZUCC). The bedrock of the area was granite. The annual values of precipitation and mean temperature were 1947 mm and 13.5°C in 1989, respectively. The arithmetic average values of discharge from the forested basin and the golf course were 0.392 and 1.26 mg/l total nitrogen (TN), 0.0072 and 0.145 mg/l total phosphorus (TP), 0.82 and 3.53 mg/l potassium ion (K+, 5.92 and 8.24 mg/l sodium ion (Na+), 2.1 and 9.9 mg/l suspending solid (0.001–2.0 mm, SS), 0.087 and 0.147 mS/cm electric conductivity (EC), and 0.031 and 0.037 m3/km2•s specific discharge, respectively. The loading rates of the forested basin and the golf course were 5.42 and 13.5 TN, 0.133 and 3.04 TP, 8.84 and 33.9 K+, 55.0 and 73.0 Na+, and 54.3 and 118 SS in kg/ha•y. The leaching and runoff rate of nitrogen in the chemical fertilizers applied on the golf course was calculated as 32%. These results indicated the importance of controlling the phosphorus loading for the management of golf courses.
Abstract. Hematological findings in a female killer whale (Orcinus orca) undergoing rehabilitation after sudden severe anorexia revealed continuing increases in serum lactate dehydrogenase and aspartate aminotransferase activities as well as fibrinogen concentration. Serologic evidence of herpesvirus infection and skin vesicles were detected 2 weeks into the treatment regimen of antibiotics and corticosteroids. The whale showed signs of improvement after treatment with anti-herpesvirus drugs, but sudden severe anorexia reappeared, along with marked elevation of fibrinogen concentration that continued until the death. Postmortem examination revealed multiple light tan foci of necrosis in the skeletal and cardiac muscles, and lung consolidation. Microscopic findings indicated disseminated fungal granulomas in the skeletal and cardiac muscles, as well as myocarditis, mycotic embolic thromboarteritis of cardiac blood vessels, and bronchopneumonia with numerous typical Aspergillus-like fungi. Mucor-like structures in granulomas in the heart and skeletal muscle and Aspergillus-like fungi in the lungs were identified using periodic acid-Schiff, Gomori methenamine silver stain, and immunohistochemistry. The present case involves dual infection with Mucor and Aspergillus species in a killer whale with concurrent herpesvirus.
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