Heat transfer analysis of uniform annular fin on regular perturbation method

Qian, Jianfeng

doi:10.1109/mace.2011.5987418

Cited by 7 publications

(5 citation statements)

References 2 publications

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“…Following a regular perturbation method [13], the solution of Eq. (12) yields the following expression:…”

Section: Governing Equation For Thermal Stressesmentioning

confidence: 99%

“…Initially, the non-dimensional temperature field, is obtained from the forward solution of the governing equation by using regular perturbation method following the procedure of Qian [13]. The steady-state non-dimensional temperature fields, of an annular fin with annular ratio, L = 2 0 are shown in Figure 2.…”

Section: Downloaded By [Erciyes University] At 14:36 27 December 2014mentioning

confidence: 99%

“…However, very small deviation in stresses can be observed due to the variation of temperature distribution. It should be noted that in the present work the temperature field has been obtained using the heat transfer equation of Qian [13].…”

Section: Downloaded By [Erciyes University] At 14:36 27 December 2014mentioning

confidence: 99%

“…The stress equations have been derived using the classical thermo elasticity theory approach. The temperature distributions are obtained from the steady state heat conduction-convection equation using regular perturbation method [13]. The equation for the evolution of temperature is then used explicitly in the stress equation.…”

Section: Introductionmentioning

confidence: 99%

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Application of Simplex Search Method for Predicting Unknown Parameters in an Annular Fin Subjected to Thermal Stresses

Mallick

Das

2013

Journal of Thermal Stresses

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This article presents an inverse approach aimed at estimating the unknown parameters such as the coefficient of thermal expansion and the Biot number for satisfying a prescribed thermal stresses field in radial fin geometry. The variation of temperature with the radius of fin is obtained by solving the heat conduction-convection equation using regular perturbation method and applying proper boundary conditions. A closed form solution for the temperature dependent stress field has been derived by employing the classical elasticity theory coupled with semi-analytical solution for the temperature field. Using the data obtained from a forward method based on the analytical solution, two unknown parameters such as the coefficient of thermal expansion and the Biot number of the fin are simultaneously estimated by an inverse technique using the Nelder-Mead simplex search method. Effects of measurement errors and number of measurement points have been analyzed in detail. It is found that even with 10 measurement points a fairly good reconstruction of the stress field can be achieved.

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“…Following a regular perturbation method [13], the solution of Eq. (12) yields the following expression:…”

Section: Governing Equation For Thermal Stressesmentioning

confidence: 99%

Section: Downloaded By [Erciyes University] At 14:36 27 December 2014mentioning

confidence: 99%

Section: Downloaded By [Erciyes University] At 14:36 27 December 2014mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Application of Simplex Search Method for Predicting Unknown Parameters in an Annular Fin Subjected to Thermal Stresses

Mallick

Das

2013

Journal of Thermal Stresses

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“…A hybrid differential transformation and finite difference method was used for the annular fin with temperature‐dependent thermal conductivity by Peng and Chen []. Qian [] applied a regular perturbation method for the heat transfer analysis of the uniform annular fin. Campo et al [] carried out the finite‐difference technique and the shooting method for heat transfer analysis of annular fins.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer enhancement in annular fins using functionally graded material

Hassanzadeh

Pekel

2013

Heat Trans. Asian Res.

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This study presents a new approach on the heat transfer enhancement of annular fins with constant thickness using functionally graded materials. The thermal conductivity of the annular fin is assumed to be graded along the fin radius as a power‐law function. The resulting fin equation is solved by an approximate analytical method using the mean value theorem. The variable coefficients of second and third terms in the second‐order differential equation of the fin are replaced with their mean values along the fin radius. Several different graphs regarding the computed temperature profile, fin tip temperature, and fin efficiency are plotted with respect to the radii ratio thermo‐geometric parameter, and inhomogeneity parameter. It is demonstrated that the inhomogeneity parameter plays an important role on the heat transfer enhancement of the annular fin. However, for large radii ratios the effect of the inhomogeneity parameter decreases. Finally, it is stated that application of the functionally graded material in the annular fins, enhances the heat transfer rate between the fin and surrounding fluid resulting from the higher fin efficiency in comparison to the homogeneous annular fin. It is hoped that the results obtained from this study arouse interest among thermal designers and heat exchanger industries. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 42(7): 603–617, 2013; Published online in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21053

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Assessment of Thermal Performance of Functionally Graded Materials in Longitudinal Fins

Hassanzadeh

Bilgili

2018

J Eng Phys Thermophy

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Heat transfer analysis of uniform annular fin on regular perturbation method

Cited by 7 publications

References 2 publications

Application of Simplex Search Method for Predicting Unknown Parameters in an Annular Fin Subjected to Thermal Stresses

Application of Simplex Search Method for Predicting Unknown Parameters in an Annular Fin Subjected to Thermal Stresses

Heat transfer enhancement in annular fins using functionally graded material

Assessment of Thermal Performance of Functionally Graded Materials in Longitudinal Fins

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