Heat transfer study through porous fins (Si3N4 and AL) with temperature-dependent heat generation

Hatami, M.; Hasanpour, A.; Ganji, D.D.

doi:10.1016/j.enconman.2013.04.034

Cited by 173 publications

(60 citation statements)

References 29 publications

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“…• For example, it consists to write the three relations Eqs. (15), (27) and (36) for N 1 ; N 2 ; and N 3 to find the fin efficiencies with the help of Eqs. (14a-14e), (23-24), (34a-34e).…”

Section: Discussionmentioning

confidence: 99%

“…In order to achieve a desired accuracy of LSM a set of equations should be solved for the n-coefficients of the trial functions [10,15]. OLM is found sufficiently accurate and the main other advantage is to manipulate only one parameter (the thermal-geometric fin parameter) rather than many coefficients.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Referring to the non nil environmental temperatures, some results are presented.InFig. 1a, Eqs (15),. (…”

mentioning

confidence: 98%

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An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Bouaziz

Aziz

2014

Heat Mass Transfer

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Efficiency and temperature distributions of rectangular convective-radiative-generating fin are evaluated when thermal conductivity and internal heat generation are temperature dependent. It demonstrates that the proposed method can be treated sequentially the nonlinear fin problem with three nonlinearities. Predicted results are found accurate within 4 % of the tip fin temperature and 5 % for the efficiencies. For practical used fins, the fin efficiency is strongly sensitive to convective and radiation environmental temperatures.

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Section: Discussionmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Bouaziz

Aziz

2014

Heat Mass Transfer

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“…Also, the heat loss from the tip of the fin compared with the top and bottom surfaces of the fin is assumed to be negligible. Since the transverse Biot number should be small for the fin to be effective [27], the temperature variation in the transverse direction is neglected. Thus heat conduction is assumed to occur solely in the longitudinal direction.…”

Section: Discussionmentioning

confidence: 99%

“…Perturbation techniques are too strongly dependent upon the so-called "small parameters" [6]. Many other different methods have been introduced to solve a nonlinear equation such as the δ-expansion method [7], Adomian's decomposition method [8], many homotopy perturbation method (HPM) [9][10][11][12][13][14][15], many variational iteration method (VIM) [16][17][18][19][20][21][22][23][24][25] and many collocation method [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method

Hoshyar

Rahimipetroudi

Ganji

et al. 2015

J. Appl. Math. Comput. Mech.

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Abstract. An analysis has been performed to study the problem of the thermal performance of a nonlinear problem of the porous fin with temperature-dependent internal heat generation. Highly accurate semi-analytical methods called the collocation method (CM) and the homotopy perturbation method (HPM) are introduced and then are used to obtain a nonlinear temperature distribution equation in a longitudinal porous fin. This study is performed using passage velocity from the Darcy's model to formulate the heat transfer equation through porous media. The heat generation is assumed to be a function of temperature. The effects of the natural convection parameter Nc, internal heat generation εg, porosity Sh and generation number G parameter on the dimensionless temperature distribution are discussed. Also, numerical calculations called the fourth order Runge-Kutta method were carried out for the various parameters entering into the problem for validation. Results reveal that analytical approaches are very effective and convenient. Also it is found that these methods can achieve more suitable results compared to numerical methods.

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Thermal behaviour of convective‐radiative porous fins under periodic thermal conditions

2018

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In the present study, the effects of non-Fourier, convection, and radiation heat transfer are investigated in a porous fin under periodic thermal conditions. The porosity effect on the fin that allows the flow to infiltrate is formulated using Darcy's model. A nonlinear partial differential equation has been obtained by energy balance for the porous fin solved by a numerical method. The effects of buoyancy or natural convection parameter (N p ), the radiation parameter (N r ), the convection parameter (N c ), dimensionless relaxation time (C), and dimensionless frequency of the base temperature oscillation (v) on temperature distribution are studied. Increasing the values of C, as the non-Fourier condition of heat transfer, led to a discontinuity in the dimensionless temperature distribution with smaller values of h. The heat transfer rate of the porous fin has been increased by increasing N c , N r , and N p , of which the N r had the strongest effect on heat transfer in comparison with other parameters.

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Heat transfer study through porous fins (Si3N4 and AL) with temperature-dependent heat generation

Cited by 173 publications

References 29 publications

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

An improved approximate method for determining the temperature and efficiency of the nonlinear convective-radiative-generating fin: effect of environmental temperatures

Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method

Thermal behaviour of convective‐radiative porous fins under periodic thermal conditions

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