Transient temperature response of different fins to step initial conditions

Assis, E.; Kalman, Haim

doi:10.1016/0017-9310(93)90072-e

Cited by 16 publications

(6 citation statements)

References 4 publications

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“…However, only general solutions were constructed. An accurate transient analysis provided insight into the design of fins that would fail in steady-state operations but are sufficient for desired operating periods [17]. Worth noting is the earlier work in [18] wherein the transient problem is considered for a fin of arbitrary profile.…”

Section: Introductionmentioning

confidence: 99%

Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient

Moitsheki

Harley

2011

Pramana - J Phys

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Transient heat transfer through a longitudinal fin of various profiles is studied. The thermal conductivity and heat transfer coefficients are assumed to be temperature dependent. The resulting partial differential equation is highly nonlinear. Classical Lie point symmetry methods are employed and some reductions are performed. Since the governing boundary value problem is not invariant under any Lie point symmetry, we solve the original partial differential equation numerically. The effects of realistic fin parameters such as the thermogeometric fin parameter and the exponent of the heat transfer coefficient on the temperature distribution are studied.

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Section: Introductionmentioning

confidence: 99%

Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient

Moitsheki

Harley

2011

Pramana - J Phys

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“…Related to circular fins, [11] presented results when there are sinusoidal changes in the fluid temperature, and also when the fin is subjected to linear and higher order changes of fluid temperature. Another embracing study considering multiple fin shapes was conducted by [12]. Numerical solutions were shown for three types of fins combined with other three types of shapes.…”

Section: Related Workmentioning

confidence: 99%

An Implementation of the Finite Differences Method for the Two-Dimensional Rectangular Cooling Fin Problem

Rodrigues¹

2019

IJITCS

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The transport or advection-diffusion-reaction equation is a well-known partial differential equation employed to model several types of flux problems. The cooling fin problem is a particular case of such an equation. This work presents a straightforward model for the rectangular cooling fin in a problem. The model was based on the finite differences numerical method and an efficient implementation was developed in a high-level mathematical programming language. The accuracy was evaluated with different granularity levels of meshes, and two distinct boundary conditions are compared. In the first one, only prescribed temperatures are assumed at the four tips of the domain. For the second scenario, it is assumed a heat flux at one tip of a fin with the same geometrical shape. The achieved solutions produced by the algorithm were able to depict the temperature along the whole fin surface accurately. Furthermore, the algorithm reaches relevant performance for meshes up to 4257 points where the CPU time was about 33 seconds.

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“…The study of variable profile fin opens the opportunity to optimize and thus yield better utilization of fin materials. The effect of variable profile on steady-state fins [40][41][42][43] and unsteady state fins [44][45][46][47][48][49] have been reported in several studies by researchers. Nguyen and Aziz 40 investigated the thermal performance of longitudinal fin having four different profiles, wherein the fin lateral surface rejects heat by means of convection and radiation while its tip remains insulated.…”

Section: Introductionmentioning

confidence: 99%

“…Nguyen and Aziz 40 investigated the thermal performance of longitudinal fin having four different profiles, wherein the fin lateral surface rejects heat by means of convection and radiation while its tip remains insulated. Assis and Kalman 44 reported the numerical solution of longitudinal spines and annular fin for different profiles under different step boundary conditions in transient fin. In another study of variable profile transient convective longitudinal fin with insulated tip, Moitisheki and Harley 45 addressed the effect of temperature‐dependent thermophysical properties on fin performance whereas, in another study, Mosayebidorcheh et al 46 reported the effect of temperature‐dependent heat generation and thermophysical properties on fin performance of similar transient fin.…”

Section: Introductionmentioning

confidence: 99%

Solution of transient heat transfer in graded‐material fins of varying thickness under step changes in boundary conditions using the Lattice Boltzmann Method

Sahu

Bhowmick

2022

Heat Trans

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Graded materials (GM) possess superior thermo‐mechanical properties, which are not feasible to obtain with homogeneous materials (HM), and hence in this paper, the transient response of a longitudinal fin of varying geometry made up of GM is reported. The temperature‐dependent convection coefficient and heat generation parameters are considered to account for real‐world high‐temperature applications of fins. Fin material properties such as density and specific heat remain constant while thermal conductivity is assumed to vary axially based on four different physically possible variations namely, linear, quadratic, power, and exponential variations. The typical nonlinear differential equation obtained for fins was solved by using a mesoscopic scale‐based particle tracking method called the Lattice Boltzmann method. The Lattice Boltzmann solver has been implemented in form of an in‐house MATLAB code and validated with existing results, thereafter it is developed for solving the foregoing problems. The results obtained are reported for rectangular, triangular, convex, and concave profiles under step change in base temperature and base heat flux. The performance of graded fins is investigated in terms of time required to attain steady‐state and fin tip temperature which are inherent design parameters in the case of the transient fin. Inhomogeneity index and profile function have a significant effect on the performance of fin in terms of resistance to heat flow. Hereby, in comparison with HM fins, GM fins have lower resistance to heat flow irrespective of fin profiles. Concurrently, comparative analysis for fins of different profiles made of HM and GM is also done to facilitate the designer in selecting the most appropriate fins.

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Transient temperature response of different fins to step initial conditions

Cited by 16 publications

References 4 publications

Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient

Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient

An Implementation of the Finite Differences Method for the Two-Dimensional Rectangular Cooling Fin Problem

Solution of transient heat transfer in graded‐material fins of varying thickness under step changes in boundary conditions using the Lattice Boltzmann Method

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