Abstract
The variational method is used to calculate the pressure gradient in the region near the entrance of a circular pipe in the case of laminar flow. The functional of the velocity distribution is chosen, whose stationary value gives the pressure gradient along the axis of the pipe, and the condition that the functional takes the stationary value coincides with the equation of motion. The velocity distribution is assumed to be the form of generalized parabolic arc. The result is that the correction of Hagenbach is 2.25 (ρu^-2/2), where ρ is the density of fluid and u^- is the mean velocity in the pipe. The velocity distribution also coincides fairly well with Nikuradse's experimental result.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Transactions of the Japan Society of Mechanical Engineers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
