Modelling of Convective Heat and Mass Transfer in Rotating Flows

Shevchuk, Igor V.

doi:10.1007/978-3-319-20961-6

Cited by 47 publications

(48 citation statements)

References 17 publications

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“…The flow structure in the RVR reactor broadly agreed with the Batchelor's predictions and other similar studies [9,10]. The Batchelor's prediction was arrived at by solving a simplified form of Navier-Stokes equation to obtain an approximate flow field Figures 5a-d and 6a-d shows the radial profiles of the circumferential velocity vector fields and contours, and the vorticity vector maps and contours on the rotating disc boundary layer and on three Y-Z planes along the reactor wheelspace, which seems to be consistent with the theoretical descriptions given in Figure 1b and Equations (6) and (7). Away from the boundary layer near the rotor in the radial direction, there was a sharp increase the radial vorticity profile with respect to the radial distance (Figure 6b-d).…”

Section: Radial Distribution Of the Hydrodynamic Quantitiessupporting

confidence: 69%

“…The circumferential velocity in a forced vortex flow increases radially outwards with the radius attaining a maximum at the tip of the disc (tip velocity), while the vorticity magnitude is nearly constant with its amplitude twice the angular velocity of the rotating disc. The flow in the reactor system on the boundary layers may be characterized by a certain degree of flow instability when it is above the critical Reynolds number Re ϕ, critical ≈ 2 × 10 5 with small patches of turbulence or oscillating vortex disturbance [7,8]. This can be expressed mathematically for the boundary layer near the rotor using the local rotational Reynolds number Re ϕ, local (Equation (1)).…”

Section: Theoretical Analysis Of the Fluid Flowmentioning

confidence: 99%

“…Flow in the wheelspace or cavity between a stationary and rotating disc (rotor-stator system) is of great importance in many engineering applications, such as in mixing applications for food, chemical and pharmaceutical industries, and in the turbine and compressor blades for the aeronautical industry [3][4][5][6]. Flows of this nature have been the subject of many scientific investigations, both theoretically and experimentally [7,8]. Theoretical analysis of the nature of flow in rotor-stator systems resulted in the so called Batchelor-Stewartson controversy regarding the exact nature of the flow profile in the wheelspace between the rotor and the stator.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and CFD Studies of the Hydrodynamics in Wet Agglomeration Process

2018

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In this study, an experimentally validated computational model was developed to investigate the hydrodynamics in a rotor-stator vortex agglomeration reactor RVR having a rotating disc at the centre with two shrouded outer plates. A numerical simulation was performed using a simplified form of the reactor geometry to compute the 3-D flow field in batch mode operations. Thereafter, the model was validated using data from a 2-D Particle Image Velocimetry (PIV) flow analysis performed during the design of the reactor. Using different operating speeds, namely 70, 90, 110, and 130 rpm, the flow fields were computed numerically, followed by a comprehensive data analysis. The simulation results showed separated boundary layers on the rotating disc and the stator. The flow field within the reactor was characterized by a rotational plane circular forced vortex flow, in which the streamlines are concentric circles with a rotational vortex. Overall, the results of the numerical simulation demonstrated a fairly good agreement between the Computational Fluid Dynamics (CFD) model and the experimental data, as well as the available theoretical predictions. The swirl ratio β was found to be approximately 0.4044, 0.4038, 0.4044, and 0.4043 for the operating speeds of N = 70, 90, 110, and 130 rpm, respectively. In terms of the spatial distribution, the turbulence intensity and kinetic energy were concentrated on the outer region of the reactor, while the circumferential velocity showed a decreasing intensity towards the shroud. However, a comparison of the CFD and experimental predictions of the tangential velocity and the vorticity amplitude profiles showed that these parameters were under-predicted by the experimental analysis, which could be attributed to some of the experimental limitations rather than the robustness of the CFD model or numerical code.

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Section: Radial Distribution Of the Hydrodynamic Quantitiessupporting

confidence: 69%

Section: Theoretical Analysis Of the Fluid Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental and CFD Studies of the Hydrodynamics in Wet Agglomeration Process

2018

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“…Although these early papers are historically consequential, they are practically inaccessible for many readers. The fundamental theory, derivations, and analyses may be found in more recent http texts and monographs on fluid mechanics and boundary layers [29][30][31]30,32]. The mathematical and computational development in the present paper follows most closely that reported by Kee et al [29].…”

Section: Introductionsupporting

confidence: 62%

“…where the Reynolds number is based on the disk radius [55,56,32]. The present analysis is based on a Reynolds number in which the length scale is the separation distance between the inlet manifold and the stagnation surface, L. Correlations are presented for Reynolds numbers up to Re L ¼ 10 4 , which would represent a very high-speed flow.…”

Section: Limitationsmentioning

confidence: 99%

Unified Nusselt- and Sherwood-number correlations in axisymmetric finite-gap stagnation and rotating-disk flows

Coltrin

Kee

2016

International Journal of Heat and Mass Transfer

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a b s t r a c tThis paper develops a unified analysis of stagnation flow heat and mass transport, considering both semiinfinite domains and finite gaps, with and without rotation of the stagnation surface. An important objective is to derive Nusselt-and Sherwood-number correlations that represent heat and mass transport at the stagnation surface. The approach is based on computationally solving the governing conservation equations in similarity form as a boundary-value problem. The formulation considers ideal gases and incompressible fluids. The correlated results depend on fluid properties in terms of Prandtl, Schmidt, and Damköhler numbers. Heterogeneous chemistry at the stagnation surface is represented as a single first-order reaction. A composite Reynolds number represents the combination of stagnation flows with and without stagnation-surface rotation.Published by Elsevier Ltd.

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Variable thermal conductivity influence on micropolar nanofluid flow triggered by a stretchable disk with Arrhenius activation energy

2023

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The analysis of magnetized micro–nanoliquid flows generated by the movable disk is executed in this study. The disk is contained under the porous zone influence. The heat generation, heat sink, and temperature‐dependent conductance analysis are reported through the energy equation. The activation energy in terms of a chemical reaction is incorporated through the mass equation. The flow model is normalized through the implementation of similarity transformations. The numerical algorithm Runge–Kutta–Fehlberg is used to solve the reduced system. Results are plotted graphically and in tabular format to investigate the velocity, thermal, and concentration fields. Numeric benchmarks of couple and shear stresses, thermal and concentration rates are also computed. The temperature is augmented against the incremented thermophoretic, variable conductivity, and Brownian movement parameters. The presence of variable conductivity parameter resulted in a weaker rate of heat transportation. The heat transportation rate is boosted with an incremented Prandtl number.

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Modelling of Convective Heat and Mass Transfer in Rotating Flows

Cited by 47 publications

References 17 publications

Experimental and CFD Studies of the Hydrodynamics in Wet Agglomeration Process

Experimental and CFD Studies of the Hydrodynamics in Wet Agglomeration Process

Unified Nusselt- and Sherwood-number correlations in axisymmetric finite-gap stagnation and rotating-disk flows

Variable thermal conductivity influence on micropolar nanofluid flow triggered by a stretchable disk with Arrhenius activation energy

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