An efficient algorithm of solution for the flow of generalized Newtonian fluid in channels of simple geometries
arXiv:1911.00106 · doi:10.1007/s00397-020-01228-2
Abstract
In this paper a problem of stationary flow of generalized Newtonian fluid in a thin channel is considered. An efficient algorithm of solution is proposed that includes a flexible procedure for a continuous approximation of the apparent viscosity by means of elementary functions combined with analytical integration of the governing equations. The algorithm can be easily adapted to circular or elliptic conduits. The accuracy and efficiency of computations are analyzed using an example of the Carreau fluid. The proposed computational scheme proves to be highly efficient and versatile providing excellent accuracy of solution at a very low computational cost.
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Cited by in corpus (5)
- On the influence of fluid rheology on hydraulic fracture
- A simplified modelling of hydraulic fractures in elasto-plastic materials
- Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm
- Pressure drop reduction due to coupling between shear-thinning fluid flow and a weakly deformable channel wall: A reciprocal theorem approach
- Impact of the tangential traction for radial hydraulic fracture