Abstract
Direct calculations of unsteady-state Weymouth equations for gas volumetric flow rate occur more frequently in the design and operation analysis of natural gas systems. Most of the existing gas pipelines design procedures are based on a particular friction factor and steady-state flow analysis. This paper examined the behavior of different friction factors and the need to develop model analysis capable of calculating unsteady-state gas flow rate in horizontal and inclined pipes. The results show different variation in flow rate with Panhandle A and Panhandle B attaining stability in accurate time with initial unsteadiness at the instance of flow. Chen and Jain friction factors have opposition to flow with high flow rate: The prediction also reveals that Colebrook-White degenerated to Nikuradse friction factor at high Reynolds number. The horizontal and inclined flow equations are considerably enhanced on the usage of different friction factors with the aid of Matlab to handle these calculations.
Highlights
[1] derived gas flow equation in a rigorous algebraic analytical equation for isothermal steady-state flow in gas pipeline to calculate volumetric flow rate and pressure losses in horizontal pipelines
This paper examined the behavior of different friction factors and the need to develop model analysis capable of calculating unsteady-state gas flow rate in horizontal and inclined pipes
Direct calculation of unsteady-state Weymouth equations has been examined on different friction factors without
Summary
[1] derived gas flow equation in a rigorous algebraic analytical equation for isothermal steady-state flow in gas pipeline to calculate volumetric flow rate and pressure losses in horizontal pipelines. Reference [9] presented an analytical unsteadystate flow equation for gas pipelines in two categories: gas flow in wellbore during production and gas flow in pipe-lines during transportation This is the most recent development that was based on the steady-state gas flow developed [10], and the paper assumed Moody friction factor and observed in their paper that all unsteady-state processes tend towards steady-state with time and applicable over a wide range of Reynolds number and relative roughness values within an acceptable standard of accuracy. This paper considered different friction factor equations for use in Equations (1) and (2) and these are substituted into the unsteady state equations for solutions These solutions can be used to calculate the instantaneous volumetric gas flow rate in both horizontal and inclined pipes if p1 and p2 are known. Equations (1) and (2) respectively to calculate the instantaneous volumetric gas flow rate in horizontal and inclined pipes
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