円管および長方形管の分岐合流損失について

概要

論文の詳細を見る
In order to make a plan of water (or oil) pipe or air duct, it is necessary to know the energy losses of divided or confluent flow. T-cheeses of one smooth acrylic pipe, three rough spiral pipes and thirteen kinds of smooth acrylic rectangular branch take-off of different form were tested to know the total energy losses of main and branch flow. The experimental values were quite agreed with those by Vogel, Kasai, Oki and Sato. Theoretical equations were derived from momentum theory as the function of branch duct area ratio, straight duct area ratio and velocity or flow quantity ratio. The theoretical values were quite agreed with the experimental values except for the case of confluent main flow of standard branch take-off. The theoretical equations are as follows. ζ=m'^2q^2-2m'(m'-k cosε)q+(m'-1)^2 η=v^2-2k cos(θ-ε)v+1 ζ'=(m'^2-2m'-2mk cos ε)q^2-2m'(m'-2)q+(m'-1)^2 η'=(1-2k cos ε/m-2m'/m^2)v^2+4m'/mv+1-2m' where ζ : energy loss factor of main straight flow of divided flow {=(E_1-E_3)/Ev_1} η : energy loss factor of branch curved flow of divided flow {=(E_1-E_2)/Ev_1} ζ' : energy loss factor of main straight flow of confluent flow {=(E_1-E_3)/Ev_3} η' : energy loss factor of branch curved flow of confluent flow {=(E_2-E_3)/Ev_3} m : branch duct area ratio (A_1/A_2 for divided flow, or A_3/A_2 for confluent flow) m' : straight duct area ratio (A_1/A_3 for divided flow, or A_3/A_1 for con fluent flow) q : flow quantity ratio (Q_2/Q_1 for divided flow, or Q_2/Q_3 for confluent flow) v : velocity ratio (V_2/V_1 for divided flow, or V_2/V_3 for confluent flow) k : velocity factor at divided (or confluent) point ε : angle between the direction of branch flow at divided (or confluent) point and main duct θ : angle between branch duct and main duct E : total energy of fluid, Ev : kinetic energy of fluid A : area of duct Q : flow quantity, V : velocity Subscript 1 : main up-stream, 2 : branch flow, 3 : main down-stream The experimental formulae of second degree of branch duct area ratio (or straight duct area ratio) and of velocity ratio (or flow quantity ratio) were obtained for the benefit of duct planning.
独立行政法人海上技術安全研究所の論文
1973-12-22

円管および長方形管の分岐合流損失について

スポンサーリンク

概要

著者

関連論文

スポンサーリンク