Theoretical Model of a Flow in a Tube With a Slit

Toda, Yuki; Morimatsu, Masataka; Nishio, Yu; Ogawa, Takanobu

doi:10.1115/ajkfluids2019-5257

Cited by 2 publications

(4 citation statements)

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“…Meanwhile, the ejection velocity on the closed end of the pipe in the negative z direction tended to be faster than that on the open end in the positive z direction that was connected to an air compressor. This tendency agrees with the theoretical and experimental works (Toda et al, 2019). As such, the authors of the study assumed the spanwise difference to be negligible.…”

Section: Characteristics Of Introduced Disturbancesupporting

confidence: 91%

Bypass transition in a boundary layer subject to sheet-type freestream disturbance

Tomiuka

Nishio

Izawa

et al. 2020

JFST

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In this study, the receptivity of a flat-plate boundary layer was studied by introducing a thin sheet-type disturbance. An airfoil-shaped device was used to generate a thin disturbance without velocity deficit in which a steady jet was ejected from its trailing edge to the downstream. Despite the absence of strong disturbances in the freestream outside the boundary layer, streaky structures similar to an ordinary bypass transition were generated. They meandered slowly in the spanwise direction where their downstream parts were oscillating in a delayed fashion. Turbulent spots were formed in the further downstream region. Consequently, the energy growth of the low frequency band in the velocity fluctuation spectrum was found to originate from this meandering motion of the streaks, whereas the growth of the middle-and high-frequency bands was attributed to the appearances of the turbulent spots.

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Section: Characteristics Of Introduced Disturbancesupporting

confidence: 91%

Bypass transition in a boundary layer subject to sheet-type freestream disturbance

Tomiuka

Nishio

Izawa

et al. 2020

JFST

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“…The flow in a pipe with a continuous longitudinal slot was investigated using a one-dimensional theoretical model based on mass and energy conservation laws, along with the pressure loss relation of the flow through the slot, developed in a previous research (Toda et al, 2019). The theoretically predicted pressure distribution inside the pipe was compared with the experimental and numerical results.…”

Section: Discussionmentioning

confidence: 99%

“…This study used a theoretical model for pipe flow with discharge proposed by Toda et al (2019). Figure 1 shows a schematic view of a target flow field.…”

Section: Theoretical Modelsmentioning

confidence: 99%

“…They validated their results experimentally by showing that the average deviation of the predicted pressure distribution was within three percent. To predict a pressure distribution, Toda et al (2019) developed a theoretical model of the pipe with a continuous slot. Their proposed theoretical model was more straightforward than the previous theoretical models and its result agreed well with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of discharge and pressure distribution of a pipe with a continuous longitudinal slot

Nishio

Ogawa

Toda

et al. 2022

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This study provides detailed information on the pressure distribution inside a pipe with a continuous longitudinal slot, theoretically investigating the parameter dependency of the pressure distribution on the design parameters of the pipe: Reynolds number at the inlet, aspect ratio of the pipe, slot width, and pressure loss coefficient of the slot. The flow through a pipe with a continuous longitudinal slot is theoretically modeled in one dimension. The model follows the mass and energy conservation laws and considers the pressure loss at the slot. The results show that depending on the aspect ratio of the pipe and the Reynolds number at the inlet, the pressure distribution inside the pipe is categorized into three regimes: monotonically increasing, monotonically decreasing, and downward concave profiles. A parametric study indicates that a monotonically decreasing profile appears for a high aspect ratio pipe. A lower aspect ratio pipe, on the other hand, has a monotonically increasing pressure profile. The present paper also reports the effects of the slot width and pressure loss coefficients on the pressure distribution, indicating that the regime of the pressure distribution is mathematically predictable using the function of the design parameters.

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Theoretical Model of a Flow in a Tube With a Slit

Cited by 2 publications

References 0 publications

Bypass transition in a boundary layer subject to sheet-type freestream disturbance

Bypass transition in a boundary layer subject to sheet-type freestream disturbance

Theoretical investigation of discharge and pressure distribution of a pipe with a continuous longitudinal slot

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