Some explicit analytical solutions of field synergy for steady 2D incompressible laminar flow in cylindrical coordinates

被引：5

作者：

Li, Yuanyuan ^{[1
,2
]}

Liu, Qibin ^{[1
]}

Cai, Ruixian ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Engn Thermophys, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2011年 / 54卷 / 25-26期

基金：

中国国家自然科学基金;

关键词：

Convective heat transfer; Field synergy; Analytical solution; Cylindrical coordinates; Separating variables with addition; CONVECTIVE HEAT-TRANSFER; FIN SURFACE; PRINCIPLE;

D O I：

10.1016/j.ijheatmasstransfer.2011.07.029

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, several analytical solutions for the steady 2D incompressible laminar flow including the heat source, the mass flow source or no any sources in cylindrical coordinates are derived and analyzed based on the field synergy theory. The physical meanings of the solutions are discussed and explained, which are valuable to further develop the field synergy principle and understand how to improve or to weaken the field synergy in practice. The method of separating variables with addition and another extraordinary method are used to obtain analytical solutions in the process of derivation. Besides theoretical meaning, the solutions can serve as the benchmark problems for developing the numerical heat transfer. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5568 / 5573

页数：6

共 50 条

[21] About 3D Incompressible Flow Reconstruction from 2D Flow Field Measurements
Fabbiano, Laura
Oresta, Paolo
Lay-Ekuakille, Aime
Vacca, Gaetano
SENSORS, 2022, 22 (03)
[22] Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates
Sadat, R.
Agarwal, Praveen
Saleh, R.
Ali, Mohamed R.
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[23] Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates
R. Sadat
Praveen Agarwal
R. Saleh
Mohamed R. Ali
Advances in Difference Equations, 2021
[24] Parametric analysis of steady bifurcations in 2D incompressible viscous flow with high order algorithm
Guevel, Y.
Girault, G.
Cadou, J. M.
COMPUTERS & FLUIDS, 2014, 100 : 185 - 195
[25] Steady 2D prominence-like solutions of the MHD equations with field-aligned compressible flow
Petrie, GJD
Tsinganos, K
Neukirch, T
ASTRONOMY & ASTROPHYSICS, 2005, 429 (03): : 1081 - 1092
[26] Incompressible laminar 2D steady thermal boundary layers with temperature-dependent kinematic viscosity and thermal diffusivity
Soh, CW
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (07) : 991 - 997
[27] Global existence of solutions to the 2D incompressible liquid crystal flow with fractional diffusion
Jin, Yanyi
Zhu, Mingxuan
Jin, Liangbing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (02) : 726 - 733
[28] 2D Computer Simulations of Ohmic Heating of Milk Solutions in Laminar Annular Flow
Tham, H. J.
Chen, Xiao Dong
Young, Brent
CHEMICAL PRODUCT AND PROCESS MODELING, 2009, 4 (03):
[29] Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
Erturk, E
Corke, TC
Gökçöl, C
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2005, 48 (07) : 747 - 774
[30] A twin-decoder structure for incompressible laminar flow reconstruction with uncertainty estimation around 2D obstacles
J. Chen
J. Viquerat
F. Heymes
E. Hachem
Neural Computing and Applications, 2022, 34 : 6289 - 6305

← 1 2 3 4 5 →