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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v42.i6.30
pages 509-536

Flow Characteristics Study and Mathematical Correlation Development in Different Suddenly Expanded and Contracted Configurations

Bishnu Pada Biswas
Kalyani Government Engineering College Kalyani, Nadia-741235, West Bengal, India
Somnath Chakrabarti
Department of Mechanical Engineering, Indian Institute of Engineering Science and Technology Shibpur, Howrah, 711103, West Bengal, India

RESUMO

A comprehensive numerical study of the flow characteristics of an incompressible fluid flowing through different configurations of combined sudden expansion and contraction has been carried out in this paper along with relevant mathematical correlation development. The two-dimensional steady differential equations for conservation of mass and momentum have been solved for the Reynolds number Re ranging from 50 to 350, fence restriction FR of 10 %, tab restriction TR of 20 %, tab length L*t of 0.25, the expansion length L*exp of 9, aspect ratio AR of 2 and fully developed velocity profile at inlet. The effect of Reynolds number on average static pressure, average stagnation pressure, wall pressure and streamline contour has been studied in detail. From the study, it is revealed that the maximum magnitude of average static pressure rise for sudden expansion and contraction with rectangular tab configuration (Model-3) is more compared to the considered two configurations of plain sudden expansion and contraction (Model-1), and sudden expansion and contraction with fence (Model-2). The average stagnation pressure drop across a section is always more for Model-3 compared to Model-1 and Model-2. The maximum magnitude of wall pressure and the size of the corner recirculating bubble for Model-3 is more compared to other two models. The predicted magnitude of maximum average static pressure rise P*av−max, average stagnation pressure drop P*sav−drop, maximum wall pressure P*w−max and corner recirculating bubble length L*R from the developed mathematical correlations are having error below 10 % in all the cases of considered configurations.


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