Non-Isothermal Matrix Blocks Heating Under Constant Heat Flux

Suarez-Suarez, R.G.; Hejazi, S. Hossein; Scott, Calum

doi:10.24275/uam/izt/dcbi/revmexingquim/2019v18n3/suarezs

Cited by 1 publication

(2 citation statements)

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“…Using this technique, information about a phenomenon is deduced based on the premise that it can be written as a dimensionally homogeneous equation with certain variables to obtain a smaller set and identify dimensionless numbers that allow the phenomenon under study to be characterized and simulated. [2][3][4][5][6][7][8][9][10][11][12] The objective of this work is to analyze the use of different nondimensionalization approaches to model the phenomenon of natural convection of an incompressible Newtonian fluid in Cartesian coordinates. The study of this phenomenon is relevant for applications that arise in research and industry.…”

Section: Introductionmentioning

confidence: 99%

“…One of the approaches most widely used by research groups has been the dimensional analysis of the governing equation of the phenomenon. Using this technique, information about a phenomenon is deduced based on the premise that it can be written as a dimensionally homogeneous equation with certain variables to obtain a smaller set and identify dimensionless numbers that allow the phenomenon under study to be characterized and simulated 2–12 …”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comparative analysis of nondimensionalization approaches for solving the 2‐D differentially heated cavity problem

Molina‐Herrera,

Quemada‐Villagómez,

Navarrete‐Bolaños

et al. 2024

Numerical Methods in Fluids

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This work reports a numerical study on the effect of three nondimensionalization approaches that are commonly used to solve the classic problem of the 2‐D differentially heated cavity. The governing equations were discretized using orthogonal collocation with Legendre polynomials, and the resulting algebraic system was solved via Newton–Raphson method with LU factorization. The simulations were performed for Rayleigh numbers between 103 and 108, considering the Prandtl number equal to 0.71 and a geometric aspect ratio equal to 1, analyzing the convergence and the computation time on the flow lines, isotherms and the Nusselt number. The mesh size that provides independent results was 51 × 51. Approach II was the most suitable for the nondimensionalization of the differentially heated cavity problem.

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