Piping System FluidFlow V. 3.09.1 ENG [WORK] Full Version 💕
Piping System FluidFlow V. 3.09.1 ENG Full Version
It is proven here that the hydrodynamically fully developed fluid flow acknowledges the exact solution, influenced by a non-Newtonian parameter as well as the adverse pressure gradient parameter prevailing the flow domain. These parameters are unified under a new parameter known as the generalized EyringPowell parameter. Without the presented analytical data, it is impossible to detect the validity range of such physical non-Newtonian solutions, which is shown to be restricted.
The upper bound of the Eyring-Powell parameter gives the maximum working head of the piping system. This value indicates the minimum external hydraulic resistance that the working fluid can overcome and still pump at reasonable rates. The right bound shows that a higher Eyring-Powell parameter, which is more fluid-dynamically non-Newtonian, is a point of practicality. Due to the very low Reynolds number, the application of the Newtonian model for the piping system is not reasonable.
As already mentioned, piping systems consisting of both laminated and cast-in-place materials are characterized by reduced thicknesses of the walls. Pipe walls with low thickness are naturally stronger. In general, the tensile stress in laminated and cast-in-place wall decreases with wall thickness. The stronger pipe walls reduce the velocities of the moving fluids in the pipe, which leads to a decreased head loss.
“Feeder” piping is a type of piping system found in a number of industrial applications. The “feeder” system consists of a number of parallel pipelines. The general configuration is similar to a feeder system that conveys irrigation fluid from a central supply to a group of users, with numerous parallel branches called “bays” to supply irrigation to a plot of land. The fluid in the bays is not the same as the central supply. The feeder piping is typically galvanized steel, although other materials are sometimes employed.
Further, the complete stability analysis of the flow pulsations for the pipe problem is performed under fully developed laminar flow. The governing set of equations is reduced to the form of a second order ordinary differential equation for time harmonic oscillations. The stability is investigated by studying the growth rate of the eigenvalues of the resulting matrix equation and using a standard procedure.
A variable viscosity fluid is treated and a dimensionless term introduced into the usual form of the energy equation for the fully developed turbulent flow. Further, the variables involved are reduced using standard technique. The obtained equations are applied to the case of pipe flow problems with straight pipe, pipe with constant bend radius, and pipe with constant curvature to find the flow velocity profile for both Newtonian and non-Newtonian fluids. The performance of the developed equations is shown to be better than that of the existing formulae for all flow configurations except in the case of pipe with constant curvature for non-Newtonian fluids and in the case of pipe with constant curvature for Newtonian fluids.
In this paper, two-phase flow analysis of gravity-driven flow in a conical section is presented for a cone angle range (0 to 90 degrees) and Reynolds number ranges (106-107). The concentric rectangular isothermal tubing was used for the investigation and Hagen-Poiseuille flow and Luer-Fittig flow were also evaluated for a case where there is no axial flow component. Additionally, the analysis was conducted considering the effects of double-wire and/or braided tubes on the flow distribution in a serial configuration for an equivalent land loss configuration. The analytical modeling was based on the conservativities of mass, momentum and energy at each section of the branches and the main pipe. Results were compared with published data available for the corresponding cases. It was found that the numerical results were in reasonable agreement with the experimental data reported in the literature. The experiments were carried out using half-angle filters with a fine mesh size. Results showed that the RTFCM model was a better choice for the simulation of gravity-driven flow. Therefore, the RTFCM model can be applied for design of plumbing systems using RTFCM as a computational tool. With this study, the effects of double-wire and/or braided tubes on the flow distribution in a serial configuration for an equivalent land loss configuration were established. Moreover, it was also established that the numerical results agreed well with the experimental data reported in the literature. In addition, the RTFCM model could be used for the simulation of gravity-driven flow. Also, it was indicated that the numerical results for the cases of double-wire and/or braided tubes can be successfully predicted using the mathematical formulae proposed. This could provide precise information about the design of piping system for plumbing.
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