The Transient Characteristics of Oil Pipelines with Column Separation

Water Hammer with Column Separation:

Column separation refers to the breaking of liquid columns in fully filled pipelines. This may occur in a water hammer event when the pressure drops to the vapor pressure at specific locations such as closed ends, high points or knees (changes in pipe slope). A vapor cavity, driven by the inertia of the parting liquid columns, will start to grow. The cavity acts as a vacuum, a low-pressure poin...

Signal separation for transient wave reflections in single pipelines using inverse filters

Draft manuscripts: Authors may post the final drafts of their work on open, unrestricted Internet sites or deposit it in an institutional repository when the draft contains a URL/link to the bibliographic record of the published version in the ASCE Library or Civil Engineering Database. ”Final draft” means the version submitted to ASCE after peer review and prior to copyediting or other ASCE pr...

Transient drainage from a vertical soil column

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Transient drainage from a vertical soil column