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Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity

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An Erratum to this article was published on 13 June 2016

Abstract

This study discusses the application of Taguchi method in assessing maximum heat transfer rate for the turbulent mixed convection in an enclosure embedded with rotating isothermal cylinder. The simulations were planned based on Taguchi’s L16 orthogonal array with each trial performed under different conditions of position of the cylinder, Reynolds number (Re) and Rayleigh number (Ra). The thermal lattice Boltzmann based on D3Q19 methods without any turbulent submodels was purposed to simulate the flow and thermal fields. A relaxation time method with the stability constants is introduced to solve turbulent natural convection problems. Signal-to-noise ratios (S/N) analysis were carried out in order to determine the effects of process parameters and optimal factor settings. Finally, confirmation tests verified that Taguchi method achieved optimization of heat transfer rate with sufficient accuracy.

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Abbreviations

g:

Gravitational acceleration (m s−2)

T :

Temperature (K)

u, v :

Velocities (m s−1)

x, y :

Coordinates (m)

Nu l :

Local Nusselt number

Nu m :

Mean Nusselt number

Pr :

Prandtl number (ν/α)

Ra :

Rayleigh number (gβ∆TH 3/αν)

Re :

Reynolds number (Rω)H/(ν)

Ri :

Richardson number Ra/PrRe 2

α :

Thermal diffusivity (m2 s−1)

µ :

Dynamic viscosity [kg (m s)−1]

θ:

Dimensionless temperature

c :

Cold

f :

Fluid

h :

Hot

s :

Solid

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Authors and Affiliations

  1. Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

    Javad Alinejad

  2. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, 91775-1111, Iran

    Javad Abolfazli Esfahani

Authors
  1. Javad Alinejad
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Correspondence to Javad Alinejad.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11012-016-0460-9.

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Alinejad, J., Esfahani, J.A. Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity. Meccanica 52, 925–938 (2017). https://doi.org/10.1007/s11012-016-0436-9

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