بحث بعنوان Effect of the Length and Diameter of a Cylindrical Capsule on the Pressure Drop in a Horizontal Pipeline

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Effect of the Length and Diameter of a Cylindrical Capsule on the Pressure Drop in a Horizontal Pipeline
Taimoor Asim, Rakesh Mishra, Anastasios Nearchou and Kuldip Ubbi
School of Computing & Engineering,
University of Huddersfield,
Queensgate, Huddersfield HD1 3DH, UK
E-mail: taimoor.asim@hud.ac.uk, r.mishra@hud.ac.uk, anearchou@live.co.uk ,
k.s.ubbi@hud.ac.uk

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Abstract. Capsule pipeline research involves the study of the flow in a pipe of a long train of
spherical or cylindrical capsules (hollow containers) filled with minerals or other materials
including hazardous liquids. The behavior of the capsule train will depend upon the behavior of
each capsule in the train and the hydrodynamic influence of one capsule on another. Designers are
in need of a general correlation to calculate pressure drop in a capsule pipeline. Researchers, so far,
have used rather simplified empirical and semi-empirical correlations for pressure drop
calculations, the range and application of which is fairly limited. A mathematical correlation
developed for pressure drop in cylindrical capsule of equi-density as its carrying medium is
presented here. Based on Computational Fluid Dynamics (CFD) a numerical solution has been
obtained from the equations governing the turbulent flow around a concentric cylindrical capsule in
a hydraulically smooth pipe section. The diameter of the pipe used in present study is 0.1m while
that of capsules are in the range of 50–80% of the pipe diameter. The investigation was carried out
in the practical range of 0.2 ≤Vb≥ 1.6 m/sec. The computationally obtained data set over a wide
range of flow conditions have then been used to develop a rigorous model for pressure drop. Using
this model the pressure drop along the pipeline can be computed which then can be used to
calculate pumping requirements.
Conclusions
A rigorous semi-empirical mathematical model for the calculation of pressure drop per unit pipe length in
a cylindrical capsule transporting hydraulic pipeline has been developed. The results depict that the
pressure drop in capsule transporting horizontal pipelines is dependent on the volumetric concentration of
the solid phase and the bulk velocity. A methodology for the calculation of the friction factor in the
pipeline due to the presense of the solid phase alone has also been presented.

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