二重管内層流助走区間の速度分布と圧力降下

概要

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The Navier-Stokes equation is linearized for the steady flow in the laminar inlet of a pipe with annular space. This solution shows the family of velocity profiles defined by the modified Bessel functions. By applications of this family to the momentum equation and the energy equation, respectively, the inlet length and the pressure drop are presented. Some examples of computation are given for the ratio of the inner and outer radii of annular space, m=1.2〜5. Tbe results of computation prove that the relation between the dimensionless distance from pipe entrance σ=x/(R_2-R_1)R_e and the pressure drop (p_0-p)/(ρu_0^2/2) is almost unaffected by m, and the inlet length σ_L is also unaffected. Practically, σ_L may be evaluated to be 0.02.
一般社団法人日本機械学会の論文
1962-02-25