Direct Calculation of Unsteady-State Weymouth Equations for Gas Volumetric Flow Rate with Different Friction Factors in Horizontal and Inclined Pipes
- 1 Department of Chemical Engineering, University of Lagos, Lagos, Nigeria
- 2 Department of Mathematics, Yaba College of Technology, Yaba, Nigeria
- 3 Department of Chemical Engineering, University of Lagos, Lagos, Nigeria
- 4 Department of Chemical Engineering, Lagos State Polytechnic, Lagos, Nigeria
- 5 Department of Civil Engineering, Yaba College of Technology, Yaba, Nigeria
- 6 Department of Mathematics, Yaba College of Technology, Yaba, Nigeria
- 7 Department of Mathematics, Yaba College of Technology, Yaba, Nigeria
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.
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