Mathematical modelling and parameter optimization of pulsating heat pipes

Article

Yang, X., Karamanoglu, M., Luan, T. and Koziel, S. 2014. Mathematical modelling and parameter optimization of pulsating heat pipes. Journal of Computational Science. 5 (2), pp. 119-125. https://doi.org/10.1016/j.jocs.2013.12.003
TypeArticle
TitleMathematical modelling and parameter optimization of pulsating heat pipes
AuthorsYang, X., Karamanoglu, M., Luan, T. and Koziel, S.
Abstract

Proper heat transfer management is important to key electronic components in microelectronic applications. Pulsating heat pipes (PHP) can be an efficient solution to such heat transfer problems. However, mathematical modelling of a PHP system is still very challenging, due to the complexity and multiphysics nature of the system. In this work, we present a simplified, two-phase heat transfer model, and our analysis shows that it can make good predictions about startup characteristics. Furthermore, by considering parameter estimation as a nonlinear constrained optimization problem, we have used the firefly algorithm to find parameter estimates efficiently. We have also demonstrated that it is possible to obtain good estimates of key parameters using very limited experimental data.

KeywordsAsymptotic; Firefly algorithm; Heat transfer; Mathematical modelling; Optimization; Oscillations; Pulsating heat pipe; Two-phase flow
PublisherElsevier
JournalJournal of Computational Science
ISSN1877-7503
Electronic1877-7511
Publication dates
Online06 Jan 2014
Print01 Mar 2014
Publication process dates
Deposited30 Apr 2015
Submitted04 Oct 2012
Accepted13 Dec 2013
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jocs.2013.12.003
Web of Science identifierWOS:000334009800008
LanguageEnglish
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Solutions of non-smooth economic dispatch problems by swarm intelligence
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A short discussion about economic optimization design of shell-and-tube heat exchangers by a cuckoo-search-algorithm
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Feature selection in life science classification: metaheuristic swarm search
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Diversity and mechanisms in swarm intelligence
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Swarm intelligence based algorithms: a critical analysis
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Planning the sports training sessions with the bat algorithm
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Boundary element analysis of spherical and radome shells
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An energy-efficient resource allocation for optimal downlink coverage in heterogeneous wireless cellular networks
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A short discussion about "Economic optimization design of shell-and-tube heat exchangers by a cuckoo-search-algorithm"
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Bio-inspired exploring and recruiting tasks in a team of distributed robots over mined regions
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Modified bat algorithm with quaternion representation
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A heuristic optimization method inspired by wolf preying behavior
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Sizing optimization of truss structures using flower pollination algorithm
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Color image segmentation by cuckoo search
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Random-key cuckoo search for the travelling salesman problem
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Secure information transmission and power transfer in cellular networks
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A biologically inspired network design model
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Optimum design of frame structures using the eagle strategy with differential evolution
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Analysis of randomisation methods in swarm intelligence
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Analysis of quality-of-service aware orthogonal frequency division multiple access system considering energy efficiency
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Design and development of an automatic tool changer for an articulated robot arm
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Implementing gait pattern control and transition for legged locomotion
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A novel improved accelerated particle swarm optimization algorithm for global numerical optimization
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Oil supply between OPEC and non-OPEC based on game theory
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Advances of swarm intelligent systems in gene expression data classification
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Bat algorithm is better than intermittent search strategy
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A legged central pattern generation model for autonomous gait transition
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Nature-inspired optimization algorithms
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Non-dominated sorting cuckoo search for multiobjective optimization
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Computational optimization, modelling and simulation: past, present and future
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Discrete cuckoo search algorithm for job shop scheduling problem
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Nature-inspired framework for hyperspectral band selection
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A discrete firefly algorithm for the multi-objective hybrid flowshop scheduling problems
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Binary bat algorithm
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Bat algorithm based on simulated annealing and Gaussian perturbations
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Discrete cuckoo search algorithm for the travelling salesman problem
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Cuckoo search: recent advances and applications
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Chaotic bat algorithm
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An empirical study of test effort estimation based on bat algorithm
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Bio-inspired computation: success and challenges of IJBIC
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A wrapper approach for feature selection based on Bat Algorithm and Optimum-Path Forest
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Improved cuckoo search algorithm for hybrid flow shop scheduling problems to minimize makespan
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A bio-inspired algorithm for identification of critical components in the transportation networks
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A firefly-inspired method for protein structure prediction in lattice models
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True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms
Yang, X., Huyck, C., Karamanoglu, M. and Khan, N. 2013. True global optimality of the pressure vessel design problem: a benchmark for bio-inspired optimisation algorithms. International Journal of Bio-Inspired Computation. 5 (6), pp. 329-335. https://doi.org/10.1504/IJBIC.2013.058910
Applications and analysis of bio-inspired eagle strategy for engineering optimization
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Flower pollination algorithm: a novel approach for multiobjective optimization
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Random walks, Lévy flights, Markov chains and metaheuristic optimization
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Are motorways rational from slime mould's point of view?
Adamatzky, A., Akl, S., Alonso-Sanz, R., Van Dessel, W., Ibrahim, Z., Ilachinski, A., Jones, J., Kayem, A., Martínez, G., De Oliveira, P., Prokopenko, M., Schubert, T., Sloot, P., Strano, E. and Yang, X. 2013. Are motorways rational from slime mould's point of view? International Journal of Parallel, Emergent and Distributed Systems. 28 (3), pp. 230-248. https://doi.org/10.1080/17445760.2012.685884
Advances in simulation-driven optimization and modelling
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Metaheuristic algorithms for self-organizing systems: a tutorial
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Integrating nature-inspired optimization algorithms to K-means clustering
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Wolf search algorithm with ephemeral memory
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Metaheuristic applications in structures and infrastructures
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Multi-objective flower algorithm for optimization
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Optimal test sequence generation using firefly algorithm
Srivatsava, P., Mallikarjun, B. and Yang, X. 2013. Optimal test sequence generation using firefly algorithm. Swarm and Evolutionary Computation. 8, pp. 44-53. https://doi.org/10.1016/j.swevo.2012.08.003
Multiobjective firefly algorithm for continuous optimization
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Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems
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Multiobjective cuckoo search for design optimization
Yang, X. and Deb, S. 2013. Multiobjective cuckoo search for design optimization. Computers and Operations Research. 40 (6), pp. 1616-1624. https://doi.org/10.1016/j.cor.2011.09.026
Flower pollination algorithm for global optimization
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Parameter estimation from laser flash experiment data
Wright, L., Yang, X., Matthews, C., Chapman, L. and Roberts, S. 2011. Parameter estimation from laser flash experiment data. in: Computational optimization and applications in engineering and industry studies in computational intelligence Berlin Springer.
Benchmark problems in structural optimization
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Computational optimization: an overview
Yang, X. and Koziel, S. 2011. Computational optimization: an overview. in: Computational Optimization, Methods and Algorithms Springer.
Engineering optimisation by cuckoo search
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Engineering optimization: an introduction with metaheuristic applications
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Metaheuristics in water, geotechnical and transport engineering
Yang, X., Gandomi, A., Talatahari, S. and Alavi, A. 2012. Metaheuristics in water, geotechnical and transport engineering. Elsevier.
The co-design experience: conceptual models and design tools for mass customisation
Herd, K., Bardill, A. and Karamanoglu, M. 2009. The co-design experience: conceptual models and design tools for mass customisation. in: Piller, F. and Tseng, M. (ed.) Advances in mass customization and personalization London, UK World Scientific Publishing.
Mass customisation. What are we designing?
Herd, K., Karamanoglu, M. and Bardill, A. 2011. Mass customisation. What are we designing? 2011 World Conference on Mass Customization, Personalization, and Co-Creation. San Francisco, CA, USA 16 - 19 Nov 2011
Bat algorithm for topology optimization in microelectronic applications
Yang, X., Karamanoglu, M. and Fong, S. 2012. Bat algorithm for topology optimization in microelectronic applications. 1st International Conference on Future Generation Communication Technology. London, UK 12 - 14 Dec 2012 IEEE. pp. 150-155 https://doi.org/10.1109/FGCT.2012.6476566
Rare events forecasting using a residual-feedback GMDH neural network
Fong, S., Nannan, Z., Wong, R. and Yang, X. 2012. Rare events forecasting using a residual-feedback GMDH neural network. in: Seventh International Conference onDigital Information Management (ICDIM), 2012 IEEE Conference Publications. pp. 464-473
Cuckoo search for business optimization applications
Yang, X., Deb, S., Karamanoglu, M. and He, X. 2012. Cuckoo search for business optimization applications. National Conference on Computing and Communication Systems (NCCCS). Durgapur, West Bengal, India 21 - 22 Nov 2012 IEEE. https://doi.org/10.1109/NCCCS.2012.6412973
Bat algorithm for constrained optimization tasks
Gandomi, A., Yang, X., Alavi, A. and Talatahari, S. 2012. Bat algorithm for constrained optimization tasks. Neural Computing and Applications. 22 (6), pp. 1239-1255. https://doi.org/10.1007/s00521-012-1028-9
Efficiency analysis of swarm intelligence and randomization techniques
Yang, X. 2012. Efficiency analysis of swarm intelligence and randomization techniques. Journal of Computational and Theoretical Nanoscience. 9 (2), pp. 189-198. https://doi.org/10.1166/jctn.2012.2012
Modelling of a pulsating heat pipe and start up asymptotics
Yang, X. and Luan, T. 2012. Modelling of a pulsating heat pipe and start up asymptotics. Procedia Computer Science. 9, pp. 784-791. https://doi.org/10.1016/j.procs.2012.04.084
Computational optimization, modelling and simulation: smart algorithms and better models
Yang, X., Koziel, S. and Leifsson, L. 2012. Computational optimization, modelling and simulation: smart algorithms and better models. Procedia Computer Science. 9, pp. 852-856. https://doi.org/10.1016/j.procs.2012.04.091
Free lunch or no free lunch: that is not just a question?
Yang, X. 2012. Free lunch or no free lunch: that is not just a question? International Journal on Artificial Intelligence Tools. 21 (3). https://doi.org/10.1142/S0218213012400106
Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization
Gandomi, A., Yang, X., Talatahari, S. and Deb, S. 2012. Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization. Computers and Mathematics with Applications. 63 (1), pp. 191-200. https://doi.org/10.1016/j.camwa.2011.11.010
Bat algorithm: a novel approach for global engineering optimization
Yang, X. and Gandomi, A. 2012. Bat algorithm: a novel approach for global engineering optimization. Engineering Computations. 29 (5), pp. 464-483. https://doi.org/10.1108/02644401211235834
Evolutionary boundary constraint handling scheme
Gandomi, A. and Yang, X. 2012. Evolutionary boundary constraint handling scheme. Neural Computing and Applications. 21 (6), pp. 1449-1462. https://doi.org/10.1007/s00521-012-1069-0
Two-stage eagle strategy with differential evolution
Yang, X. and Deb, S. 2012. Two-stage eagle strategy with differential evolution. International Journal of Bio-Inspired Computation. 4 (1), pp. 1-5. https://doi.org/10.1504/IJBIC.2012.044932
Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect
Yang, X., Hosseini, S. and Gandomi, A. 2012. Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing. 12 (3), pp. 1180-1186. https://doi.org/10.1016/j.asoc.2011.09.017
Design and development of a pole climbing surveillance robot
Erbil, M., Prior, S., Karamanoglu, M., Odedra, S., Barlow, C., Bell, J., Brazinskas, M. and New Zealand Rapid Product Development Conference 2011. Design and development of a pole climbing surveillance robot. Auckland, New Zealand AUT University.
Investigating the use of unmanned plant machinery on construction sites
Barlow, C., Prior, S., Erbil, M., Lewis, D., Brazinskas, M., Mielniczek, W., Bell, J., Irps, T. and Karamanoglu, M. 2010. Investigating the use of unmanned plant machinery on construction sites. ICMES.
Development of a low-cost SLAM radar for applications in robotics.
Irps, T., Prior, S., Lewis, D., Mielniczek, W., Brazinskas, M., Barlow, C. and Karamanoglu, M. 2010. Development of a low-cost SLAM radar for applications in robotics. ICMES.
Development of a test-rig for exploring optimal conditions of small unmanned aerial vehicle co-axial rotor systems
Bell, J., Brazinskas, M., Prior, S., Barlow, C., Erbil, M. and Karamanoglu, M. 2010. Development of a test-rig for exploring optimal conditions of small unmanned aerial vehicle co-axial rotor systems. ICMES. pp. 439-444
Accelerated particle swarm optimization and support vector machine for business optimization and applications
Yang, X., Deb, S. and Fong, S. 2011. Accelerated particle swarm optimization and support vector machine for business optimization and applications. Fong, S. (ed.) NDT 2011: International Conference on Networked Digital Technologies. Macau, China 11 - 13 Jul 2011 Springer. pp. 53-66 https://doi.org/10.1007/978-3-642-22185-9_6
Bat algorithm for multi-objective optimisation
Yang, X. 2011. Bat algorithm for multi-objective optimisation. International Journal of Bio-Inspired Computation. 3 (5), pp. 267-274. https://doi.org/10.1504/IJBIC.2011.042259
Mixed variable structural optimization using Firefly Algorithm
Gandomi, A., Yang, X. and Alavi, A. 2011. Mixed variable structural optimization using Firefly Algorithm. Computers and Structures. 89 (23-24), pp. 2325-2336. https://doi.org/10.1016/j.compstruc.2011.08.002
Blending arts and sciences: gimmick or necessity?
Prior, S., Karamanoglu, M. and Bradley, M. 2008. Blending arts and sciences: gimmick or necessity? in: Proceedings of the higher education academy international conference on innovation, good practice and research in engineering education conference. Loughborough The higher education academy, engineering subject centre. pp. 1-12
Developing a low-cost beer dispensing robotic system for the service industry
Barlow, C., Lewis, D., Bell, J., Irps, T., Prior, S., Erbil, M. and Karamanoglu, M. 2010. Developing a low-cost beer dispensing robotic system for the service industry. 25th International Conference on CAD/CAM, Robotics and Factories of the Future. Pretoria, South Africa 13 - 16 Jul 2010
The co-design experience: conceptual models and design tools for mass customization
Herd, K., Bardill, A. and Karamanoglu, M. 2009. The co-design experience: conceptual models and design tools for mass customization. in: Piller, F. and Tseng, M. (ed.) Handbook of Research in Mass Customization and Personalization World Scientific Press.
Development of a design probe to reveal customer touch points in the sale of mass customised products
Herd, K., Bardill, A. and Karamanoglu, M. 2009. Development of a design probe to reveal customer touch points in the sale of mass customised products. Design principles and practices. 3 (3), pp. 193-208.
Investigating the use of the coanda effect to create novel unmanned aerial vehicles.
Barlow, C., Lewis, D., Prior, S., Odedra, S., Erbil, M., Karamanoglu, M. and Collins, R. 2009. Investigating the use of the coanda effect to create novel unmanned aerial vehicles. International Conference on Manufacturing and Engineering Systems. Proceedings.
Reconfigurable unmanned aerial vehicles.
Erbil, M., Prior, S., Karamanoglu, M., Odedra, S., Barlow, C. and Lewis, D. 2009. Reconfigurable unmanned aerial vehicles. International Conference on Manufacturing and Engineering Systems. Proceedings.
Investigating the mobility of unmanned ground vehicles.
Odedra, S., Prior, S. and Karamanoglu, M. 2009. Investigating the mobility of unmanned ground vehicles. International Conference on Manufacturing and Engineering Systems. Proceedings.
The future of battlefield micro air vehicle systems.
Prior, S., Shen, S., Karamanoglu, M., Odedra, S., Erbil, M., Barlow, C. and Lewis, D. 2009. The future of battlefield micro air vehicle systems. International Conference on Manufacturing and Engineering Systems. Proceedings.
A new metaheuristic bat-inspired algorithm
Yang, X. 2010. A new metaheuristic bat-inspired algorithm. in: González, J., Pelta, D., Cruz, C., Terrazas, G. and Krasnogor, N. (ed.) Nature Inspired Cooperative Strategies for Optimization (NISCO 2010) Berlin Springer.
Eagle strategy using Lévy walk and firefly algorithm for stochastic optimization
Yang, X. and Deb, S. 2010. Eagle strategy using Lévy walk and firefly algorithm for stochastic optimization. in: González, J., Pelta, D, Cruz, C., Terrazas, G. and Krasnogor, N. (ed.) Nature Inspired Cooperative Strategies for Optimization (NICSO 2010) Springer. pp. 101-111
Optimization and data mining for fracture prediction in geosciences
Shi, G. and Yang, X. 2010. Optimization and data mining for fracture prediction in geosciences. Procedia Computer Science. 1 (1), pp. 1359-1366. https://doi.org/10.1016/j.procs.2010.04.151
Firefly algorithm, stochastic test functions and design optimisation
Yang, X. 2010. Firefly algorithm, stochastic test functions and design optimisation. International Journal of Bio-Inspired Computation. 2 (2), pp. 78-84. https://doi.org/10.1504/IJBIC.2010.032124
Oil and gas assessment of the Kuqa depression of Tarim Basin in western China by simple fluid flow models of primary and secondary migrations of hydrocarbons
Shi, G., Zhang, Q., Yang, X. and Mi, S. 2010. Oil and gas assessment of the Kuqa depression of Tarim Basin in western China by simple fluid flow models of primary and secondary migrations of hydrocarbons. Journal of Petroleum Science and Engineering. 75 (1-2), pp. 77-90. https://doi.org/10.1016/j.petrol.2010.10.009
Optimising cash flows in APVIOBPCS using control theory
White, A.S., Prior, S., Censlive, M. and Karamanoglu, M. 2010. Optimising cash flows in APVIOBPCS using control theory. ICMES.
X-ray specs, stickers and colouring in: seeing beyond the configurator using design probes
Herd, K., Bardill, A. and Karamanoglu, M. 2009. X-ray specs, stickers and colouring in: seeing beyond the configurator using design probes. The 5th International Conference on Mass Customization and Personalization. Helsinki, Finland 04 - 08 Oct 2009
Development of a climbing robot platform to provide temporary surveillance in urban environments
Erbil, M., Prior, S., Odedra, S., Karamanoglu, M. and Shen, S. 2009. Development of a climbing robot platform to provide temporary surveillance in urban environments. 13th HCI International Conference - Posters.. Town and Country Resort & Convention Center, San Diego, CA, USA 19 - 24 Jul 2009 pp. 840-844
Development of a co-axial tri-rotor UAV.
Prior, S., Karamanoglu, M., Odedra, S., Foran, T. and Erbil, M. 2009. Development of a co-axial tri-rotor UAV. Bristol University of Bristol Department of Aerospace Engineering..
The problems with design education in the UK.
Prior, S., Karamanoglu, M., Shen, S. and International Association of Societies of Design Research. 2007. The problems with design education in the UK. in: IASDR07 proceedings emerging trends in design research. Hong Kong Hong Kong Polytechnic University.
Unmanned aerial vehicle comprising a triangular array of rotors.
Prior, S., Odedra, S., Karamanoglu, M., Erbil, M. and Foran, T. 2009. Unmanned aerial vehicle comprising a triangular array of rotors.
Firefly algorithms for multimodal optimization
Yang, X. 2009. Firefly algorithms for multimodal optimization. in: Stochastic Algorithms: Foundations and Applications; 5th International Symposium, SAGA 2009, Sapporo, Japan, October 26-28, 2009. Proceedings Springer.
Cuckoo search via Lévy flights
Yang, X. and Deb, S. 2009. Cuckoo search via Lévy flights. in: World Congress on Nature & Biologically Inspired Computing (NaBIC 2009) IEEE Publications. pp. 210-214
Increasing the trafficability of unmanned ground vehicles through intelligent morphing
Odedra, S., Prior, S., Karamanoglu, M. and Shen, S. 2009. Increasing the trafficability of unmanned ground vehicles through intelligent morphing. Dai, J., Zoppi, M. and Kong, X. (ed.) International Conference on Reconfigurable Mechanisms and Robots, ReMAR 2009. London, UK 22 - 24 Jun 2009 IEEE. pp. 665-672
Using acoustic sensor technologies to create a more terrain capable unmanned ground vehicle
Odedra, S., Prior, S., Karamanoglu, M., Erbil, M. and Shen, S. 2009. Using acoustic sensor technologies to create a more terrain capable unmanned ground vehicle. Harris, D. (ed.) 8th International Conference on Engineering Psychology and Cognitive Ergonomics (EPCE). San Diego, CA, USA 19 - 24 Jul 2009 Berlin, Heidelberg Springer. https://doi.org/10.1007/978-3-642-02728-4_61
Development of a novel platform for greater situational awareness in the urban military terrain
Prior, S., Shen, S-T., White, A.S., Odedra, S., Karamanoglu, M., Erbil, M. and Foran, T. 2009. Development of a novel platform for greater situational awareness in the urban military terrain. Harris, D. (ed.) 8th International Conference on Engineering Psychology and Cognitive Ergonomics (EPCE). San Diego, CA, USA 19 - 24 Jul 2009 Berlin Springer. pp. 120-125 https://doi.org/10.1007/978-3-642-02728-4_13
Designing for co-design: using the product envelope model as a framework for reflection.
Bardill, A., Herd, K. and Karamanoglu, M. 2007. Designing for co-design: using the product envelope model as a framework for reflection. Proceedings of the World Conference on Mass Customization & Personalization (MCPC), Innovation and Research Conference. Cambridge/Boston, MA, USA 07 - 10 Oct 2007
Product envelopes: designing positive interplay between brand DNA and customer co-designers
Bardill, A., Herd, K. and Karamanoglu, M. 2007. Product envelopes: designing positive interplay between brand DNA and customer co-designers. International Journal of Mass Customization. 2 (1/2), pp. 57-75. https://doi.org/10.1504/IJMASSC.2007.012813
Product design as a vehicle to integrate arts and sciences in design education
Karamanoglu, M., Bardill, A. and Prior, S. 2007. Product design as a vehicle to integrate arts and sciences in design education. in: Proceedings of the International Association of Societies of Design Research, Emerging Trends in Design Research, 12-15 November 2007, Hong Kong International Association of Societies of Design Research, Emerging Trends in Design Research.
Improving the mobility performance of autonomous unmanned ground vehicles by adding the ability to 'Sense/Feel' their local environment.
Karamanoglu, M., Odedra, S. and Prior, S. 2007. Improving the mobility performance of autonomous unmanned ground vehicles by adding the ability to 'Sense/Feel' their local environment. in: Shumaker, R. (ed.) Virtual Reality - Second International Conference, ICVR 2007, Held as Part of HCI International 2007, Beijing, China, July 22-27, 2007 Springer.
Towards solving the mobility issues of unmanned ground vehicles.
Karamanoglu, M., Odedra, S. and Prior, S. 2007. Towards solving the mobility issues of unmanned ground vehicles. Gerhart, G., Gage, D. and Shoemaker, C. (ed.) Defence and Security Symposium. Orlando, Florida, United States 09 - 13 Apr 2007 Society of Photo-optical Instrumentation Engineers (SPIE). https://doi.org/10.1117/12.721495
Comparing the personality type of design students in the UK and Taiwan
Prior, S., Shen, S., White, A.S. and Karamanoglu, M. 2007. Comparing the personality type of design students in the UK and Taiwan. Dainoff, M. (ed.) Ergonomics and health aspects of work with computers: International Conference, EHAWC 2007, Held as Part of HCI International Conference. Beijing, China,
Control of Ship capsize in stern quartering seas
White, A.S., Gleeson, P. and Karamanoglu, M. 2007. Control of Ship capsize in stern quartering seas. International Journal of Simulation, Systems, Science & Technology. 8 (2), pp. 20-31.
Using personality type differences to form engineering design teams
Shen, S., Prior, S., White, A.S. and Karamanoglu, M. 2007. Using personality type differences to form engineering design teams. Engineering Education. 2 (2), pp. 54-66.
Pleasure-based design approaches to the built environment
Bardill, A., Karamanoglu, M. and Herd, K. 2005. Pleasure-based design approaches to the built environment. Proceedings of the Institution of Civil Engineers - Municipal Engineer. 158 (3), pp. 183-193. https://doi.org/10.1680/muen.2005.158.3.183
Modelling the response of masonry structures to gas explosions
Wong, C. and Karamanoglu, M. 1999. Modelling the response of masonry structures to gas explosions. Journal of Loss Prevention in the Process Industries. 12 (3), pp. 199-205. https://doi.org/10.1016/S0950-4230(98)00058-8