In this study, a new coupled surface shape design (SSD) methodology named direct design method is presented for the solution of problems containing different types of convection heat transfer in which a specific distribution of either heat flux or temperature is given instead of the shape of a boundary. In the proposed method, the governing equation, without using any mathematical transformation for the physical domains, is manipulated so that the grid generation, solving fluid flow, and heat transfer as well as shape updating can all be carried out simultaneously. Five different inverse shape design problems containing different types of convection heat transfer are solved by the proposed method. All the problems are also solved using the ball-spine algorithm (BSA), which is a recently developed de-coupled algorithm, for the sake of comparison. In all problems, the effects of using different under-relaxation parameters are investigated and the capability of both approaches is compared with each other. The results show that the proposed coupled method can solve the problems better than the BSA in the sense that the direct design method converges sooner than the BSA when the same under-relaxation parameter is used for both methods. Also, it is shown that the computational cost of solving a SSD problem using the direct design method is slightly greater than solving an analysis problem.
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Research-Article
Surface Shape Design in Different Convection Heat Transfer Problems Via a Novel Coupled Algorithm
Mehdi Nikfar,
Mehdi Nikfar
Young Researchers and Elite Club,
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: nikfar.mehdi@gmail.com
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: nikfar.mehdi@gmail.com
Search for other works by this author on:
Peyman Mayeli
Peyman Mayeli
Young Researchers and Elite Club,
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: peyman.mayeli@gmail.com
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: peyman.mayeli@gmail.com
Search for other works by this author on:
Mehdi Nikfar
Young Researchers and Elite Club,
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: nikfar.mehdi@gmail.com
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: nikfar.mehdi@gmail.com
Peyman Mayeli
Young Researchers and Elite Club,
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: peyman.mayeli@gmail.com
Islamic Azad University,
Lahijan Branch,
Eastern Kashef Street, P.O. Box: 1616,
Lahijan, Guilan, Iran
e-mail: peyman.mayeli@gmail.com
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 6, 2017; final manuscript received July 3, 2017; published online September 19, 2017. Assoc. Editor: Milind A. Jog.
J. Heat Transfer. Feb 2018, 140(2): 021702 (15 pages)
Published Online: September 19, 2017
Article history
Received:
February 6, 2017
Revised:
July 3, 2017
Citation
Nikfar, M., and Mayeli, P. (September 19, 2017). "Surface Shape Design in Different Convection Heat Transfer Problems Via a Novel Coupled Algorithm." ASME. J. Heat Transfer. February 2018; 140(2): 021702. https://doi.org/10.1115/1.4037581
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