Mathematical modelling of flows in dividing and combining flow manifold

Majumdar, Alok

doi:10.1016/0307-904x(80)90174-2

Cited by 39 publications

(14 citation statements)

References 7 publications

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“…A finite-difference model developed by Majumdar [1] to resolve flow through dividing and combining manifolds was presented. The model was a mixed type, based on a onedimensional momentum equation and flux continuity for flow along the axis of the distributor, and a Bernoulli type energy balance for velocity components and static pressure in the lateral direction.…”

Section: Introductionmentioning

confidence: 99%

Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration

Dal‐Cin

Darcovich

Bourdoncle

et al. 2006

Journal of Membrane Science

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Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration AbstractPredictions of flow and pressure distributions in one bank of a plate and frame ultrafiltration module with five channels in parallel operating in a Z configuration were predicted using (1) Bernoulli's equation and a momentum balance in one dimension and (2) a threedimensional field solution (Computational Fluid Dynamics) of the Navier-Stokes equation. CFD solutions were taken as the benchmark and used to refine the 1D model being developed to evaluate flow and pressure distributions for different operating conditions and ultimately different module configurations. The 1D model was able to provide quantitatively accurate flow distribution and qualitatively representative pressure distributions. Flow distributions increased monotonically with increasing channel number, maximum/minimum flow ratios in channels increased from 2 to 6.9 with oil (µ = 0.0361 kg/m/s) as the design cross flow velocity increased from 0.5 to 5 m/s. Pressure distributions were well predicted qualitatively but were typically 40% lower than the CFD solution in the distributor. Key to the accuracy of the 1D model were the implementation of (a) variable contraction co-efficients in the distributor orifice, (b) the 1/7th power law for velocity profiles in the plenums (c) a new approach for combining flows in the collector and (d) assuming only one half of the orifice area was being effectively used by the fluid.

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Section: Introductionmentioning

confidence: 99%

Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration

Dal‐Cin

Darcovich

Bourdoncle

et al. 2006

Journal of Membrane Science

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“…Eliminating the pressures between the sets of Equations (6) and (7) allows for the defining of two sorts of dimensionless loss coefficients, both being essentially Euler numbers, i.e., pressure changes normalized by a kinetic energy term. The K coefficients are derived from the momentum approach (Equation (6)) while the j coefficients are derived from the energy approach (Equation (7)).…”

Section: Longitudinal Pressure Changementioning

confidence: 99%

The theory of parallel channels manifolds (Ladder networks) revisited part 1: Discrete mesoscopic modelling

Midoux

Tondeur

2014

Can J Chem Eng

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This article proposes a theoretical overview of the distribution of fluid flow through manifolds composed of parallel channels connected through T‐junctions to a distributor and to a collector channel, thus composing a ladder‐like network. Such networks are used in solar heaters, fuel cells, heat exchanger plates, and other engineering devices, one issue being to achieve a nearly uniform distribution. This first part focuses on the discrete mesoscopic momentum and energy balances governing the T‐junctions, with particular attention to the empirical, flow‐rate and geometry dependent, pressure change coefficients. By “mesoscopic”, it is meant that the control volume for the balance equations includes the junction zone and that the local flow‐field in that zone is not described. The existing results and correlations for these coefficients are reviewed, compared, and synthesized. In keeping with the discrete character of the channel network, the overall network relations are compacted as a single non‐linear finite‐difference equation relating the flow‐rates in the different segments of the distributor. This formulation is suitable for convenient numerical resolution even when all the coefficients are allowed to vary with local conditions. The conditions for simplifications, such as assuming constancy of certain coefficients, are carefully investigated. A number of approximate analytical, semi‐explicit or explicit solutions are constructed. In particular, an original view of the structure of these solutions is proposed, relying on an invariance property which is demonstrated, and on the analogy with the classical McCabe‐Thiele construction in chemical engineering. These approximations are compared to exact numerical solutions.

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“…A great number of experimental, analytical, and numerical studies deal with flow in manifold. The flow in distribution manifold has been studied by several investigators [1][2][3][4][5][6][7][8][9]. In general, all previous studies for manifolds with different applications had shown that typical manifold design does not give a uniform flow distribution at outlets.…”

Section: Introductionmentioning

confidence: 99%

Performance Improvement of a Typical Manifold using Computational Fluid Dynamics

Subaschandar

Sakthivel²

2016

MATEC Web of Conferences

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Abstract. This paper presents an analysis of fluid flow in a typical manifold. A commercially available Computational Fluid Dynamics (CFD) package has been used to analyze the flow pattern inside the manifold. Pressure drop in whole fluid domain and mass flow rate in all the outlets in the manifold have been computed. Based on the preliminary results, a modification to inside of the main pipe of the manifold has been incorporated. The performance of the modified design has been compared with the original design from the point of view of average temperature and mass flow rate at the outlets. A simple modification has been shown to improve the uniformity of temperature and mass flow at the outlets.

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Mathematical modelling of flows in dividing and combining flow manifold

Cited by 39 publications

References 7 publications

Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration

Comparison of CFD and one-dimensional Bernoulli solutions of the flow in a plate and frame ultrafiltration module in Z configuration

The theory of parallel channels manifolds (Ladder networks) revisited part 1: Discrete mesoscopic modelling

Performance Improvement of a Typical Manifold using Computational Fluid Dynamics

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