Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Widiatmojo, Arif; Sasaki, Kyuro; Widodo, Nuhindro Priagung; Sugai, Yuichi

doi:10.4236/jfcmv.2013.12008

Cited by 7 publications

(2 citation statements)

References 29 publications

(45 reference statements)

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“…During 2 s and 2.5 s, more fertilizer moved to the Y1 position, and it presented a gradient distribution on the radial section. This results were kept consistent with a finding proposed by Widiatmojo et al [22], who investigated the diffusion of a solute in turbulent flows through a circular pipe. Duda et al [23] also reported that the concentration showed a gradient distribution when the polymer diffused in the solvent.…”

Section: Fertilizer-water Mixing State In the Pipes At Different Posi...supporting

confidence: 93%

Research on Mixing Law of Liquid Fertilizer Injected into Irrigation Pipe

Zhang

Chen

et al. 2022

Horticulturae

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The time and position that fertilizer takes to uniformly mix with water in an irrigation system significantly affects the development of a fertilization strategy. A pipe irrigation system was used to study the fertilizer–water mixing law in irrigation pipes using numerical simulation and experiments. The effect of the diameter of the water pipe and fertilizer pipe, water and fertilizer flow rates, concentration and viscosity of fertilizer, frequency of fertilizer injection on the mixing speed, and uniform mixing length indicated that the frequency of fertilizer injection did not affect the mixing process. The increase in the water pipe diameter and fertilizer flow rate or the decrease in fertilizer pipe and water flow rate diameter result in the increase of the speed of fertilizer solution mixing with water along the radial direction of the mixing pipe. The uniform mixing length was directly proportional to the fertilizer pipe diameter, water pipe diameter, water flow rate, and fertilizer viscosity, while it was inversely proportional to the flow rate and concentration of fertilizer. The relationship between the uniform mixing length and six influencing factors was fitted, the fitting was highly accurate, and the fitting equation can be used to predict the uniform mixing length under other conditions.

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Section: Fertilizer-water Mixing State In the Pipes At Different Posi...supporting

confidence: 93%

Research on Mixing Law of Liquid Fertilizer Injected into Irrigation Pipe

Zhang

Chen

et al. 2022

Horticulturae

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show abstract

“…The remaining relations necessary to calculate the density and viscosity at the interface between two fluids are expressed in Eqs. 9–14 8, 27, 29. In this study, the turbulent Schmidt number Sc t is considered to be 1 30, 31:

true {normalD}_{normalt} = \frac{υ_{normalt}}{S c_{normalt}}

true {normalD}_{normalm} = \frac{υ_{normalm}}{Sc}

true D = D_{normalm} + {normalD}_{normalt}

true C_{normalA} + C_{normalB} = 1

true ρ_{normalm} = C_{normalA} ρ_{normalA} + C_{normalB} ρ_{normalB}

true \ln υ_{normalm} = C_{normalA} \ln υ_{normalA} + C_{normalB} \ln υ_{normalB}

…”

Section: Mathematical Modelingmentioning

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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The effect of fertilizer injection on the mixing patterns of lateral‐move sprinkler irrigation systems with double wings

Zhang,

Li,

Wang

2024

Irrigation and Drainage

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In irrigation systems, water–fertilizer mixing within pipelines profoundly affects the fertilization process and strategy development. Taking irrigation machine pipelines as the research object, a numerical simulation method is used to investigate the mixing and distribution patterns of water and fertilizer in pipelines under a steady oscillatory flow fertilization mode with different injection positions, angles, flow rates (Q) and fertilization ratios (δ). Increasing the flow rate initially increased the fertilizer concentration in the lateral pipes, but further increasing the mainline central injection flow rate significantly reduced the concentration in the lateral pipes. For δ = 2%, elevating Q from 6 to 8 m3/h increased the average fertilizer concentration in the lateral pipes by 0.4%. However, a subsequent increase to Q = 10 m3/h led to a 1% decrease. In left‐side injection, lateral pipes on the same side as the injection pipe had considerably higher concentrations than those on the opposite side. In central injection, larger inclination angles increase the lateral pipe fertilizer concentration, while in left‐side injection, 60°‐downward injection results in the best lateral pipe fertilizer concentration. The above‐mentioned results can provide valuable insights for the design of injection ports on lateral‐move sprinkler irrigation systems.

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Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Cited by 7 publications

References 29 publications

Research on Mixing Law of Liquid Fertilizer Injected into Irrigation Pipe

Research on Mixing Law of Liquid Fertilizer Injected into Irrigation Pipe

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

The effect of fertilizer injection on the mixing patterns of lateral‐move sprinkler irrigation systems with double wings

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