Jets in Crossflow Mixing Analysis Using Computational Fluid Dynamics and Mathematical Optimization

Morris, Reuben M.; Snyman, J. A.; Meyer, Josua P.

doi:10.2514/1.22136

Cited by 19 publications

(6 citation statements)

References 17 publications

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“…The algorithm is also specifically designed to handle constrained problems where the objective and constraint functions are expensive to evaluate. The details of the Dynamic-Q and applications can be found in open literature [41][42][43][44][45][46][47].…”

Section: Mathematical Optimisation and Optimisation Problemmentioning

confidence: 99%

Mathematical optimisation of laminar forced convection heat transfer through a vascularised solid with square channels

Olakoyejo

Bello‐Ochende

Meyer

2012

International Journal of Heat and Mass Transfer

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This paper presents a three-dimensional geometric optimisation of cooling channels in forced convection of a vascularised material with the localised self-cooling property subjected to a heat flux. A square configuration was studied with different porosities. Analytical and numerical solutions were provided. The geometrical configuration was optimised in such a way that the peak temperature was minimised at every point in the solid body. The optimisation was subject to the constraint of a fixed global volume of solid material, but the elemental volume was allowed to morph. The solid material was subject to a heat flux on one side and the cooling fluid was forced through the channels from the opposite direction with a specified pressure difference. The structure had three degrees of freedom as design variables: the elemental volume, channel hydraulic diameter and channel-to-channel spacing. A gradient-based optimisation algorithm was used to determine the optimal geometry that gave the lowest thermal resistance. This optimiser adequately handled the numerical objective function obtained from numerical simulations of the fluid flow and heat transfer. The numerical results obtained were in agreement with a theoretical formulation using scale analysis and the method of intersection of asymptotes. The results obtained show that as the pressure difference increases, the minimised thermal resistance decreases. The results also show the behaviour of the applied pressure difference on the optimised geometry. The use of 2 the optimiser made the numerical results to be more robust with respect to the optimum internal configurations of the flow systems and the dimensionless pressure difference.

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Section: Mathematical Optimisation and Optimisation Problemmentioning

confidence: 99%

Mathematical optimisation of laminar forced convection heat transfer through a vascularised solid with square channels

Olakoyejo

Bello‐Ochende

Meyer

2012

International Journal of Heat and Mass Transfer

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“…This study is similar to the study by Holdemann et al [6], except that parameter variation was performed without the assistance of a numerical optimisation tool. Morris et al [11] found that the optimum configuration was in good agreement with empirically defined relationships.…”

Section: Introductionmentioning

confidence: 74%

“…In many optimisation problems, additional simple side constraints of the form ˆi these move limits take the form of additional inequality constraints [11]. These inequality constraints are described by ( 1) (…”

Section: Mathematical Optimisationmentioning

confidence: 99%

“…This method required experimental data in order to perform statistical analysis, therefore, it can be costly due to a number variants required to generate experimental data. The recent work of Morris et al [11] employed both CFD and mathematical optimisation in an attempt to improve mixing effectiveness of opposed jets in cross-flow in a duct with nonreacting flow. This study is similar to the study by Holdemann et al [6], except that parameter variation was performed without the assistance of a numerical optimisation tool.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of Gas Turbine Combustor Mixing for Improved Exit Temperature Profile

Motsamai

Snyman

Meyer

2010

Heat Transfer Engineering

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“…Storage savings become highly significant when the number of variables becomes large. Therefore, this particular strength of the Dynamic-Q method makes it well suited for optimisation of engineering problems with a large number of variables and it has been used to successfully solve a large variety of engineering problems [27][28][29][30][31].…”

Section: Numerical Proceduresmentioning

confidence: 99%

CFD modelling of cooling channel geometry of PEM fuel cell for enhanced thermal performance

Obayopo

2018

Nig. J. Tech.

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Proton exchange membrane (PEM) fuel cell has many distinctive features that make it an attractive alternative clean energy source, including low start-up, high power density, high efficiency, portability and remote applications. An approach to stem the thermal build-up within the fuel cell structure that could lead to degradation of the system components is by integrating cooling channels as part of flow structure of the PEM fuel cell system. In this study, a numerical investigation was carried out to determine the impact of cooling channel geometry in combination with temperature dependent operating parameters on thermal management and overall performance of a PEM fuel cell system. The evaluation is performed using a computational fluid dynamics (CFD) code based on a finite volume approach. The systems performances are presented as a function of the system temperature, operating parameters and cooling channel geometry. The results obtained indicate that incorporating cooling channels within the fuel cell structures improves the PEM fuel cell system performance at higher temperature of operation and optimal aspect ratio of the cooling channels exist for maximised fuel cell performance for the fuel cell model considered. In addition, the parameters studied were optimized using a mathematical optimization code integrated with the CFD code.

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Jets in Crossflow Mixing Analysis Using Computational Fluid Dynamics and Mathematical Optimization

Cited by 19 publications

References 17 publications

Mathematical optimisation of laminar forced convection heat transfer through a vascularised solid with square channels

Mathematical optimisation of laminar forced convection heat transfer through a vascularised solid with square channels

Optimization of Gas Turbine Combustor Mixing for Improved Exit Temperature Profile

CFD modelling of cooling channel geometry of PEM fuel cell for enhanced thermal performance

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