Dean-Taylor flow with convective heat transfer through a coiled duct

Islam, Mohammad Zohurul; Mondal, Rabindra Nath; Rashidi, Majid

doi:10.1016/j.compfluid.2017.03.001

Cited by 27 publications

(8 citation statements)

References 37 publications

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“…As seen in Figure 11, the time-dependent flow shows almost same behavior after a fixed time-period. On the contrary, the multi-periodic flow completes more than one cycle before repeating the same behavior (Mondal et al [19]; Islam et al [5]). In this study, as the rotation is increased the periodic flow turns into multiperiodic flow.…”

Section: Analysis Of Transient Solutionmentioning

confidence: 99%

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A Computational Study on Fluid Flow and Heat Transfer Through a Rotating Curved Duct with Rectangular Cross Section

Mondal¹,

Hasan²,

Islam³

et al. 2021

IJHT

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The understanding of fluid flow and heat transfer (HT) through a rotating curved duct (RCD) is important for different engineering applications. The available literature improved the understanding of the fluid flow and HT through a large-curvature rotating duct. However, the comprehensive knowledge of fluid flow and HT through an RCD with small curvature is little known. This numerical study aims to perform fluid flow characterization and HT through an RCD with curvature ratio 0.001. The spectral based numerical approach investigates the effects of rotation on fluid flow and HT for the Taylor number −1000≤Tr≤1500. A constant pressure gradient force, the Dean number Dn = 100, and a constant buoyancy force parameter, the Grashof number Gr = 500 are used for the numerical simulation. Fortran code is developed for the numerical computations and Tecplot software is used for the post-processing purpose. The numerical study investigates steady solutions and a structure of two-branches of steady solutions is obtained for positive rotation. The transient solution reports the transitional flow patterns and HT through the rotating duct, and two- to four-vortex solutions are observed. In case of negative rotation, time-dependent solutions show that the Coriolis force exhibits an opposite effect to that of the curvature so that the flow characteristics exhibit various flow instabilities. The numerical result shows that convective HT is increased with the increase of rotation and highly complex secondary flow patterns influence the overall HT from the heated wall to the fluid. To validate the numerical results, a comparison with the experimental data is provided, which shows that a good agreement is attained between the numerical and experimental investigations.

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Section: Analysis Of Transient Solutionmentioning

confidence: 99%

“…A precise understanding of the transitional fluid flow through a rotating duct with small curvature is important for the engineering and biological applications. A wide range of studies [2][3][4][5][6] has performed the theoretical and experimental investigations of fluid flow through the CD for large aspectratios.…”

Section: Introductionmentioning

confidence: 99%

A Computational Study on Fluid Flow and Heat Transfer Through a Rotating Curved Duct with Rectangular Cross Section

Mondal¹,

Hasan²,

Islam³

et al. 2021

IJHT

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“…Time-average streamline variations in the ingoing-outgoing channel has been investigated by Kurtulmuş et al [17]. Islam et al [18] narrated the time-dependent solution structure for rotating CRD of Ar 2 and observed the change of instable characteristics for two different Dean numbers. Ray et al [19] discussed the change of secondary vortex in the periodic and irregular oscillations for time advancement flow where they considered that the heating lower wall and the cooling top wall.…”

Section: Introductionmentioning

confidence: 99%

A computational modeling on transient heat and fluid flow through a curved duct of large aspect ratio with centrifugal instability

et al. 2021

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Due to remarkable applications of the curved ducts in engineering fields, scientists have paid much attention to invent new characteristics of curved-duct flow in mechanical systems. In the ongoing study, a computational modeling of fluid flow and energy distribution through a curved rectangular duct of large aspect ratio is presented. Governing equations are enumerated by using a spectral-based numerical technique together with the function expansion and collocation method. The main purpose of the paper is to analyze the effect of centrifugal force in the flow transition as well as heat transfer in the fluid. The investigations are performed for the aspect ratio, Ar = 4; the curvature ratio, $$\delta = 0.5$$ δ = 0.5 ; the Grashof number, $${\text{Gr}} = 1000$$ Gr = 1000 ; and varying the Dean number, $$0 < {\text{Dn}} \le 1000.$$ 0 < Dn ≤ 1000 . It is found that various types of flow regimes including steady-state and irregular oscillations occur as Dn is increased. To well understand the characteristics of the flow phase spaces and power spectrum of the solutions are performed. Next, pattern variations of axial and secondary flow velocity with isotherms are illustrated for different Dn’s. It is revealed that the flow velocity and the isotherms are significantly influenced by the duct curvature and the aspect ratio. Convective heat transfer and temperature gradients are calculated which explores that the fluids are diversified due to centrifugal instability, and as a consequence the overall heat transfer is enhanced significantly in the curved duct.

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“…Mondal et al [7] applied spectral method to study non-isothermal flow through a stationary curved rectangular duct of aspect ratios 1 to 3, and showed that the steady-state flow turns into chaotic flow through various flow instabilities if the aspect ratio is increased. Very recently, Islam et al [23] conducted spectral numerical study of Dean-Taylor flow through a rotating coiled rectangular duct, where they performed unsteady solutions of the flow for both rotating and co-rotating cases and discussed the role of secondary vortices on convective heat transfer. However, solution structure as well as transient behavior of the unsteady solution is not yet resolved for the flow through a rotating curved rectangular duct with bottom wall heating and cooling from the ceiling, which motivated the present study to fill up this gap.…”

Section: Introductionmentioning

confidence: 99%

On the Onset of Hydrodynamic Instability with Convective Heat Transfer Through a Rotating Curved Rectangular Duct

Ray¹,

Hasan²,

Mondal³

2020

MMEP

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The present paper addresses numerical prediction of hydrodynamic instability with convective heat transfer through a rotating curved rectangular duct of curvature 0.1.The bottom wall of the duct is heated while cooling from the ceiling. Numerical calculations are carried out by using a spectral method and covering a wide range of the Taylor number 0 2000 Tr  for the constant pressure gradient force, the Dean number, 1000 Dn = .First, solution structure of the steady solutions is investigated. As a result, three branches of asymmetric steady solutions with two-to ten-vortex solutions are obtained by using Newton-Raphson iteration method. Then unsteady solutions are obtained by time evolution calculations and flow transitions are well justified by obtaining the phase space and power spectrum of the solutions. It is found that chaotic flow turns into steady-state flow through periodic oscillating flow, if Tr is increased. Streamlines and isotherms are also obtained at several values of Tr, and it is found that the unsteady flow consists of two-to ten-vortex solutions. The present study shows that combined action of the centrifugal-Coriolis-buoyancy forces contribute to generate the vorticity. The present study exposes the role of secondary vortices on convective heat transfer, which shows that convective heat transfer is significantly enhanced by the secondary flow; and the chaotic flow, which occurs at small Tr but at large Dn, enhances heat transfer more effectively than the steady-state or periodic solutions.

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Dean-Taylor flow with convective heat transfer through a coiled duct

Cited by 27 publications

References 37 publications

A Computational Study on Fluid Flow and Heat Transfer Through a Rotating Curved Duct with Rectangular Cross Section

A Computational Study on Fluid Flow and Heat Transfer Through a Rotating Curved Duct with Rectangular Cross Section

A computational modeling on transient heat and fluid flow through a curved duct of large aspect ratio with centrifugal instability

On the Onset of Hydrodynamic Instability with Convective Heat Transfer Through a Rotating Curved Rectangular Duct

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