Boiling on a straight pin fin with variable thermal conductivity

Lin, Wenzhi; Lee, D. J.

doi:10.1007/s002310050273

Cited by 13 publications

(7 citation statements)

References 7 publications

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“…1,2,17 It is clear from the literature review that the research has been greatly focused on the theoretical and experimental thermal analysis of both solid fins and porous fins with different profiles and thermophysical properties due to wide range of applications. [3][4][5][6][7][8][9]12,[24][25][26][27][28] By assuming a constant thermal conductivity of the fin material, the dimensionless governing equation for pin fins with power-law type heat transfer coefficients reads 11,15,16,[18][19][20][21]23…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Shivanian

Campo

2017

Heat Trans. Asian Res.

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In this Technical Note, the problem of determining the temperature distribution in a pin fin with power-law heat transfer coefficients is addressed. It is demonstrated that the governing fin equation, a nonlinear second-order differential equation, is exactly solvable for the entire range of the exponent in the power-law heat transfer coefficients. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer. Furthermore, it is proved that the exact solutions have three different structures: (1) dual in the range of ≤ −2, (2) unique or dual in the range of −2 < < −1, and (3) unique in the range of ≥ −1. Additionally, exact analytical expressions for the fin efficiency and the fin effectiveness are provided, both as a function of the dimensionless fin parameter for the gamma of under study.

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Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Shivanian

Campo

2017

Heat Trans. Asian Res.

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“…Various models related to heat transfer using fins under different boundary conditions were studied by Lin and Lee. 3 Kraus et al 4 and Arslanturk 5 have illustrated the geometric analysis of convective fins for temperature, as well as the efficiency of the convective fins by assuming constant thermal conductivity. Cortell 6 presented an analytical method to obtain step fin's thermophysical characteristics in annular form.…”

Section: Introductionmentioning

confidence: 99%

“…Unal 1,2 has presented a study on surface heat transfer. Various models related to heat transfer using fins under different boundary conditions were studied by Lin and Lee 3 . Kraus et al 4 and Arslanturk 5 have illustrated the geometric analysis of convective fins for temperature, as well as the efficiency of the convective fins by assuming constant thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of moving fin with thermal properties

Kumar¹,

Dinesh

Ramakrishna

et al. 2022

Heat Trans

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In the present study, the influence of numerical analysis involves the transfer of heat for moving fin under convection and radiation with fluid properties depending on internal heat generation is considered.The temperature field for the fin is derived based on the defined geometry. This is transformed into a linear model as per the boundary conditions. The dimensionless analysis is performed, and the equations obtained are solved by Runge-Kutta Fehlberg fourth-order method coupled with the shooting method. The effects of the relative parameters are studied and depicted graphically. Finally, the computational observation indicates that there is an enhancement of temperature variation under the influence of thermal conductivity gradient, heat generation, and opposite behavior results. In understanding the thermal characteristics of various effects, it was seen that thermo geometric film, radiation conduction, and Peclet number were very useful for many industrial applications. To validate the numerical scheme, a comparative study has been done with an earlier result on a few nondimensional parameters and was found in good agreement.

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“…The cases of heat transfer with variable heat transfer coefficient along the passive device varies has also be investigated [28][29][30][31][32][33][34][35]. Such analysis helps in providing the needed information on the efficiency, effectiveness, and design date of the extended surfaces under various boiling modes [33][34][35][36][37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines

et al. 2022

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This paper demonstrated the computational efficiency and accuracy of method of lines for the nonlinear transient thermal response analysis of a radiative-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic fields. To establish the computational accuracy of the method, the results of the solution are compared with the results of the developed exact analytical method. Also, the numerical solutions through the method of lines are adopted to explore the impacts of the model parameters on the performance of the passive device. It is found that as the conductive-convective, conductive-radiative, and magnetic field parameters increase, the fin temperature distribution in the fin decreases. The temperature distribution in the fin increases through the ?n as the nonlinear thermal conductivity parameter increases. It is hoped that the present study gives a good insight into the nonlinear analysis of the extended surface which will aid the proper design of the extended surfaces in thermal systems.

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Boiling on a straight pin fin with variable thermal conductivity

Cited by 13 publications

References 7 publications

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Exact, analytic temperature distributions of pin fins with constant thermal conductivity and power‐law type heat transfer coefficient

Numerical study of moving fin with thermal properties

Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines

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