Fin Efficiency of an Annular Fin Composed of a Substrate Metallic Fin and a Coating Layer

2006 ◽  
Vol 128 (8) ◽  
pp. 851-854 ◽  
Author(s):  
Ping Tu ◽  
Hideo Inaba ◽  
Akihiko Horibe ◽  
Zhongmin Li ◽  
Naoto Haruki
Keyword(s):  
Thermal Conductivity ◽  
Numerical Calculation ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Layer Thickness ◽  
Coating Layer ◽  
Fin Efficiency ◽  
Analytical Results ◽  
Annular Fin ◽  
Coating Layer Thickness

An analytical solution to a composite annular fin made of a substrate metallic fin and a coating layer has been carried out. Useful expressions for calculating temperature distribution and fin efficiency have been derived. Comparing the analytical results to those of numerical calculation, the premise for the expressions is also explored. Theoretical analyzing results show that fin efficiency of a coated fin decreases with an increase of the coating layer thickness if the thermal conductivity of coating layer is much less than that of the substrate metallic fin. Whereas, the reverse influence of the coating layer thickness on the fin efficiency appears if the thermal conductivity of the coating layer is beyond the above range.

Novel technique for measurement of coating layer thickness of fine and porous particles using focused ion beam

Particuology ◽  
2019 ◽  
Vol 42 ◽  
pp. 190-198 ◽  
Author(s):  
M. Goslinska ◽  
I. Selmer ◽  
C. Kleemann ◽  
U. Kulozik ◽  
I. Smirnova ◽  
...  
Keyword(s):  
Layer Thickness ◽  
Focused Ion Beam ◽  
Coating Layer ◽  
Ion Beam ◽  
Porous Particles ◽  
Novel Technique ◽  
Coating Layer Thickness

An Exact Solution to Steady Heat Conduction in a Two-Dimensional Annulus on a One-Dimensional Fin: Application to Frosted Heat Exchangers With Round Tubes

2005 ◽  
Vol 128 (4) ◽  
pp. 397-404 ◽  
Author(s):  
A. D. Sommers ◽  
A. M. Jacobi
Keyword(s):  
Thermal Conductivity ◽  
Analytical Solution ◽  
High Thermal Conductivity ◽  
Two Dimensional ◽  
One Dimensional ◽  
Low Thermal Conductivity ◽  
Fin Efficiency ◽  
Coated Metal ◽  
The One ◽  
Term Approximation

The fin efficiency of a high-thermal-conductivity substrate coated with a low-thermal-conductivity layer is considered, and an analytical solution is presented and compared to alternative approaches for calculating fin efficiency. This model is appropriate for frost formation on a round-tube-and-fin metallic heat exchanger, and the problem can be cast as conduction in a composite two-dimensional circular cylinder on a one-dimensional radial fin. The analytical solution gives rise to an eigenvalue problem with an unusual orthogonality condition. A one-term approximation to this new analytical solution provides fin efficiency calculations of engineering accuracy for a range of conditions, including most frosted-coated metal fins. The series solution and the one-term approximation are of sufficient generality to be useful for other cases of a low-thermal-conductivity coating on a high-thermal-conductivity substrate.

Exact solution of a nonlinear fin problem of temperature-dependent thermal conductivity and heat transfer coefficient

2020 ◽  
Vol 98 (7) ◽  
pp. 700-712 ◽  
Author(s):  
Sheng-Wei Sun ◽  
Xian-Fang Li
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Heat Transfer Coefficient ◽  
Temperature Distribution ◽  
Transfer Coefficient ◽  
Power Law ◽  
Temperature Dependent ◽  
Fin Efficiency ◽  
Special Cases ◽  
Temperature Dependent Thermal Conductivity

This paper studies a class of nonlinear problems of convective longitudinal fins with temperature-dependent thermal conductivity and heat transfer coefficient. For thermal conductivity and heat transfer coefficient dominated by power-law nonlinearity, the exact temperature distribution is obtained analytically in an implicit form. In particular, the explicit expressions of the fin temperature distribution are derived explicitly for some special cases. An analytical expression for fin efficiency is given as a function of a thermogeometric parameter. The influences of the nonlinearity and the thermogeometric parameter on the temperature and thermal performance are analyzed. The temperature distribution and the fin efficiency exhibit completely different behaviors when the power-law exponent of the heat transfer coefficient is more or less than negative unity.

scholarly journals Determination of temperature distribution for annular fins with temperature dependent thermal conductivity by HPM

2011 ◽  
Vol 15 (suppl. 1) ◽  
pp. 111-115 ◽  
Author(s):  
Domiri Ganji ◽  
Ziabkhsh Ganji ◽  
Domiri Ganji
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Temperature Distribution ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Variable Thermal Conductivity ◽  
Temperature Dependent ◽  
Homotopy Perturbation ◽  
Annular Fin ◽  
Temperature Dependent Thermal Conductivity

In this paper, homotopy perturbation method has been used to evaluate the temperature distribution of annular fin with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. This method is useful and practical for solving the nonlinear heat transfer equation, which is associated with variable thermal conductivity condition. The homotopy perturbation method provides an approximate analytical solution in the form of an infinite power series. The annular fin heat transfer rate with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity

Limitations of Current Formulations when Decreasing the Coating Layer Thickness of Papers for Inkjet Printing

2011 ◽  
Vol 50 (12) ◽  
pp. 7251-7263 ◽  
Author(s):  
Taina Lamminmäki ◽  
John Kettle ◽  
Hille Rautkoski ◽  
Annaleena Kokko ◽  
Patrick Gane
Keyword(s):  
Layer Thickness ◽  
Inkjet Printing ◽  
Coating Layer ◽  
Coating Layer Thickness

Control of the coating layer thickness of TiO2–SiO2 core–shell hybrid particles by liquid phase deposition

2011 ◽  
Vol 22 (3) ◽  
pp. 390-395 ◽  
Author(s):  
Tomoya Ohno ◽  
Kazunori Numakura ◽  
Hidenobu Itoh ◽  
Hisao Suzuki ◽  
Takeshi Matsuda
Keyword(s):  
Liquid Phase ◽  
Layer Thickness ◽  
Coating Layer ◽  
Core Shell ◽  
Liquid Phase Deposition ◽  
Hybrid Particles ◽  
Coating Layer Thickness

scholarly journals Analytical Solution of Nonlinear Boundary Value Problem for Fin Efficiency of Convective Straight Fins with Temperature-Dependent Thermal Conductivity

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
K. Saravanakumar ◽  
V. Ananthaswamy ◽  
M. Subha ◽  
L. Rajendran
Keyword(s):  
Thermal Conductivity ◽  
Analytical Solution ◽  
Nonlinear Equation ◽  
Nonlinear Boundary ◽  
Dimensionless Temperature ◽  
Temperature Dependent ◽  
Fin Efficiency ◽  
Homotopy Analysis ◽  
Thermal Conductivity Problem ◽  
Temperature Dependent Thermal Conductivity

We have employed homotopy analysis method (HAM) to evaluate the approximate analytical solution of the nonlinear equation arising in the convective straight fins with temperature-dependent thermal conductivity problem. Solutions are presented for the dimensionless temperature distribution and fin efficiency of the nonlinear equation. The analytical results are compared with previous work and satisfactory agreement is noted.

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