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Computational Thermal Sciences: An International Journal

Publication de 6  numéros par an

ISSN Imprimer: 1940-2503

ISSN En ligne: 1940-2554

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HYBRID INVESTIGATION OF THERMAL CONDUCTIVITY AND VISCOSITY CHANGEABLE WITH GENERATION/ABSORPTION HEAT SOURCE

Volume 14, Numéro 1, 2022, pp. 19-30
DOI: 10.1615/ComputThermalScien.2021039390
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RÉSUMÉ

In this paper, we investigate changes in temperature and velocity using various flow parameters and study the effects of viscosity and conduction heat transfer in a vertical channel. The innovation of this paper is to study the conduction heat transfer and fluid velocity through a vertical channel with the finite element method (FEM) and Akbari−Ganji's method (AGM). The results obtained in the graphs for these methods and their comparisons with numerical method (NUM) indicate their acceptability and the appropriateness of the work. The same results show that velocity and temperature increase with an increase in thermal conductivity. By passing the flow from the hot plate to the cold plate, the temperature increases given the increase in viscosity, and an increase in viscosity in the channel, the velocity of the liquid decreases. By increasing the temperature and Prandtl number, the boundary layer thickness and fluid energy decreased. The maximum fluid velocity base on the Gr parameter is observed near the hot plate from x = to x = 0.2.

Figures

  • Schematic of thermal conductivity between horizontal plates with generation/absorption: (a) temperature profile, (b)
velocity profile
  • Comparison of (a) the temperature, and (b) the velocity profile between AGM and numeric solution at Pr = 0.1, Ec = 1,
S = 1, ε = −0.3, λ = −0.2, and Gr = 2
  • Comparison of (a) the temperature, and (b) the velocity profile between AGM and the FEM at Pr = 0.1, Ec = 1, S = 1,
ε = −0.3, λ = −0.2, and Gr = 2
  • Comparison of (a) the temperature, and (b) the velocity profile by AGM at Pr = 0.1, Ec = 1, S = 1, ε = −0.3, and Gr = 2
  • Comparison of (a) temperature, and (b) velocity profile by AGM at Pr = 0.1, Ec = 1, S = 1, ε = −0.3, and λ = 0.2
  • Comparison of (a) temperature, and (b) velocity profile by AGM at Pr = 0.1, Ec = 1, Gr = 2, ε = −0.3, and λ = 0.2
  • Comparison of (a) the temperature, and (b) the velocity profile by AGM at Pr = 0.1, Ec = 1, S = 1, ε = −0.3, and λ = 2
  • Comparison of (a) temperature, and (b) velocity profile by FEM at Ec = 1, Gr = 2, ε = −0.3, and λ = 0.2
  • Comparison of (a) temperature, and (b) velocity profile by FEM at Ec = 1, Gr = 2, Pr = 0.1, and λ = 0.2
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