Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Sarı, Murat; Gürarslan, Gürhan; Zeytinoğlu, Asuman

doi:10.3390/mca16040979

Cited by 1 publication

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“…20‐23, in this process, the convection term is solved in a half‐time step, followed by the diffusion term in a full‐time step. Afterward, the convection term solution is repeated in half‐time steps, and the volume fractions are determined in each time step 35–37.

true c_{normalc} (z, r, n Δ t) = c (z, r, n Δ t)

true c_{normald} (z, r, n Δ t) = c_{normalc} (z, r, (n + 1 false/ 2) Δ t)

true c_{normalc} (z, r, (n + 1 false/ 2) Δ t) = c_{normald} (z, r, (n + 1) Δ t)

true c (z, r, (n + 1) Δ t) = c_{normalc} (z, r, (n + 1) Δ t)

…”

Section: Numerical Simulationmentioning

confidence: 99%

Numerical Simulation of Mixing between Sequential Fluids in a Pipeline Considering Real Conditions

2022

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The mixing behavior of two sequential petroleum products resulting from convection and diffusion mechanisms was numerically modeled. To this end, the initial mixing that happens during the fluid change in the pipeline was considered. A numerical code was also developed, and two‐dimensional volume fraction variations of a 100‐m‐long, 16‐in‐diameter pipe were calculated. The model was validated by comparison with field data in a real pipeline. The results showed a significant difference in mixing length between the old and new conditions. When the actual conditions were used, the error in the results was reduced from 62 to 12 %. Overall, it was discovered that if available correlations are modified on the basis of the initial mixing, they can also produce good results in short pipelines.

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