## Abstract We introduce a new model for gas dynamics in pipe networks by asymptotic analysis. The model is derived from the isothermal Euler equations. We present the derivation of the model as well as numerical results illustrating the validity and its properties. We compare the new model with ex
Multiscale modeling for gas flow in pipe networks
β Scribed by Mapundi K. Banda; Michael Herty
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 520 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.948
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β¦ Synopsis
Abstract
We consider a multiscale network of natural gas pipelines. Different arcs of the network are to be modeled by possibly different models depending on the requisite qualitative detail required: an isothermal Euler system of equations; linearized model derived from the isothermal Euler system or a steadyβstate model of gas flow also referred to as an algebraic model. At the vertices (or joints) of the network coupling conditions are defined. An analysis of the well posedness of the hierarchial coupling conditions is presented. The analytical results are tested numerically on different network configurations including a realβworld network based on the Canadian mainline gas network. Copyright Β© 2007 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
## Abstract Pipe networks are computed in an analogous mannner to frameworks in structural mechanics loaded only by moments. The mesh method (force method) is applied. Due to the boundary layer effects in special pipe members, the flow problem is in general nonlinear. Therefore, the NewtonβRaphson
This work is aimed at developing efficient computational algorithms for numerical simulation of steady-state incompressible vis-sional (or ''integral'') models of the whole cardiovascular cous flows in nodes of circulation networks. High order accuracy circulation network take into account the mutua
## Abstract High heat penetration into a feed stream within a horizontal pipe is described mathematically with a gas flow and heat transfer model. Influences of varied factors on the gas flow and heat transfer in porous media are examined for different conditions. The temperature of the packedβbed