Flux-splitting finite volume method for turbine flow and heat transfer analysis

2001 ◽  
Vol 27 (2) ◽  
pp. 119-127 ◽  
Author(s):  
C. Xu ◽  
R. S. Amano
Keyword(s):  
Heat Transfer ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Heat Transfer Analysis ◽  
Flux Splitting ◽  
Flow And Heat Transfer ◽  
Volume Method

A Reduced Dimension Finite Volume Method for Radiative Heat Transfer in Axisymmetrical Cylinders

Volume 4 ◽  
2004 ◽  
Author(s):  
Weixue Tian ◽  
Wilson K. S. Chiu
Keyword(s):  
Heat Transfer ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Control Volume ◽  
Heat Transfer Analysis ◽  
Radiative Energy ◽  
Conductive Heat ◽  
Volume Method

This paper presents a modified scheme to analyze the radiative heat transfer in axisymmetrical enclosures using the finite volume method. The modified scheme is derived from the conservation of radiative energy in an infinitely thin slice of an axisymmetrical cylinder. Therefore, the final discretized equations are based on a two-dimensional mesh in the spatial domain, and similar to meshes used for convective and conductive heat transfer analysis. The control angle overlap problem caused by misalignment of solid angles with control volume faces in the angular direction is eliminated. Error caused by the control volume face curvature is also eliminated. Comparison of results for several demonstration cases with literature yields satisfactory results.

Finite Volume Method for Fractional Maxwell Viscoelastic Fluid Over a Moving Plate With Convective Boundary Condition

2020 ◽  
Vol 142 (11) ◽  
Author(s):  
Jinhu Zhao
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Viscoelastic Fluid ◽  
Convective Boundary Condition ◽  
Moving Plate ◽  
Convective Boundary ◽  
Flow And Heat Transfer ◽  
Volume Method

Abstract A novel finite volume method about the boundary layer flow and heat transfer of fractional viscoelastic fluid over a moving plate with convective boundary condition is developed. The fractional Maxwell model and fractional Fourier's law are employed in the constitutive relations. Numerical solutions are obtained and validated by exact solutions of special case with source terms. The effects of fractional parameters on the flow and heat transfer characteristics are analyzed. Results show that the viscoelastic fluid performs shear-thickening property with the increase of fractional parameter. Moreover, the variations of the average Nusselt number demonstrate that the viscoelastic fluid characterized by fractional Fourier's law has short memory in heat conduction process.

A Comparison of the Discrete Ordinates Method and Finite Volume Method for Radiative Heat Transfer Analysis

2011 ◽  
Author(s):  
Brian Hunter ◽  
Xiulan Huai ◽  
Zhixiong Guo
Keyword(s):  
Heat Transfer ◽  
Solar Energy ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Heat Transfer Analysis ◽  
Computational Time ◽  
Discrete Ordinates ◽  
Absorbed Energy ◽  
Discrete Ordinates Method ◽  
Volume Method

The time-dependent equation of radiative transfer is solved for a participating medium housed in an axisymmetric cylindrical enclosure by both the discrete-ordinates method and the finite volume method. Many heat transfer processes, including absorption of renewable and sustainable solar energy in a solar receiving tube for use in power plants, can be modeled in a cylindrical enclosure. Steady-state and transient heat flux profiles are generated for both purely absorbing and absorbing-scattering media using both solution methods. The effect of changes in scattering albedo and optical thickness is investigated. A basic modeling of a solar energy receiving tube is presented, and the volumetric radiative absorbed energy rate at the radial centerline is calculated to determine the amount of absorbed energy that can be transferred to a working fluid in a solar reactor. Comparisons of both computational time and committed memory usage for each method are presented. In general, heat fluxes predicted by the FVM with 288 directions tend to slightly underpredict those determined using the DOM S16 quadrature. The FVM requires more committed memory and has longer convergence times than the DOM due to the inherent differences in angular quadrature.

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