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作 者:程惠亭 郝文斌 CHENG Hui-ting;HAO Wen-bin(Hualu Engineering and Technology Co.,Ltd.,Xi′an 710065,Shaanxi Province,China;School of Chemical Engineering and Technology,Xi′an Jiaotong University,Xi′an 710049,Shaanxi Province,China)
机构地区:[1]华陆工程科技有限责任公司,陕西西安710065 [2]西安交通大学化学工程与技术学院,陕西西安710049
出 处:《化学工程》2021年第6期1-3,共3页Chemical Engineering(China)
摘 要:除了平均密度假设外,基于可压缩气体管道压降计算等温公式的相同条件,从Fanning不可压缩流体压降计算公式和压力沿管线位置分布公式出发,建立了可压缩气体管道压降的微分方程。运用等径管道内质量流速ρu为常数的事实成功分离变量,积分后获得了一个代数方程,并通过求解该代数方程得到了一个可压缩气体管道压降计算的新公式。和传统等温公式的计算结果进行对比,可知新公式是显式的,无需试差或迭代求解,新公式结果和传统公式相比非常接近。新公式代替传统等温公式,将大幅度简化等温气体管道压降的计算。A differential equation of pipe pressure drop for compressible gas was established based on Fanning equation and the equation of pressure distribution along the pipe length,under the same conditions of isothermal gas flow equation excepting the average density hypothesis.As the product(ρu)of densityρand velocity u was a constant,variable separation of the differential equation was implemented successfully,and then the analytical solution of differential equation was obtained,which was an explicit algebraic equation.The application of this new equation suggests that the calculation results of the new equation are quite close to that of traditional isothermal equation and no iterative algorithm is required to solve the new equation.The new equation greatly simplifies the calculation of pipe pressure drop of isothermal gas flow.
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