Published May 15, 2024 | Version v1
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NUMERICAL CALCULATION USING THE SIMPLE METHOD TO SOLVE THE LAMINAR FLOW PROBLEM IN A SUDDENLY EXPANDED CHANNEL

  • 1. Fergana polytechnic institute, shoyevmardonbek1@gmail.com
  • 2. Fergana polytechnic institute

Description

In the article, the calculation of flow interruption in the zone of sudden 
expansion of a two-dimensional channel was carried out. Various flow 
characteristics were calculated at different Reynolds numbers. Calculations were 
carried out for laminar flow and based on the numerical solution of the unsteady 
Navier-Stokes equation. Velocity results at different points of the channel and the 
length of the piles were studied with the change of Reynolds number after the sudden 
expansion of the channel, and the velocity and pressure were studied. The 
relationship between was determined using the SIMPLE method. Various schemes 
were used to solve this problem numerically. To check the correctness of the results, 
comparisons with experiments were carried out.

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References

  • [1]. Blasius Н. Laminare Stromung in Kanalen Wechselnder Breite. Zeitschrift fur Math. und Phys., 1910, vol. 58, no. 10, pp. 225–233.
  • [2]. Honji H. The starting flow down a step. J. Fluid Mech., 1975, vol. 69, iss. 2, pp. 229–240. DOI: https://doi.org/10.1017/S0022112075001413
  • [3]. Синха С.П., Гупта А.К., Оберай М.М. Ламинарное отрывное обтекание уступов и каверн. Ч. 1. Течение за уступом. Ракетная техника и космонавтика, 1981, т. 19, № 12, с. 33–37
  • [4]. Armaly В.F., Durst F., Pereira J.C.F., et al. Experimental and theoretical investigation
  • [5]. Чжен П. Отрывные течения, М., Мир, 1972.
  • [6]. Гогиш Л.В., Степанов Г.Ю. Турбулентные отрывные течения. М., Наука, 1979.
  • [7]. Le H., Moin P., Kim J. Direct numerical simulation of turbulent flow over a backward-facing step. J. Fluid Mech., 1997, vol. 330, pp. 349–374. DOI: https://doi.org/10.1017/S0022112096003941
  • [8]. Durst F., Melling A., Whitelow J.H. Low Reynolds number flow over a plane symmetric sudden expansion. J. Fluid Mech., 1974, vol. 64, iss. 1, pp. 111–118. DOI: https://doi.org/10.1017/S0022112074002035
  • [9] Versteegh Т А, Nieuwstadt F T 1997 Turbulent Budgets of Natural Convection in an Infinite,Differentially Heated, Vertical Channel Intern. J. Heat Fluid Flow. vol 19 P 135
  • [10] Boudjemadi R, Maupu V, Laurence D, Le Quere P 1996 Direct Numerical Simulation of Natural Convection in a Vertical Channel: A Tool for Second-Moment Closure Modelling Proc. Engineering Turbulence Modelling and Experiments 3 (Amsterdam: Elsevier) P 39