Thermal performance of functionally graded parabolic annular fins having constant weight

Gaba, Vivek Kumar; Tiwari, Anil Kumar; Bhowmick, Shubhankar

doi:10.1007/s12206-014-0945-1

Cited by 16 publications

(5 citation statements)

References 19 publications

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“…Rahmanand and Aziz in 2009 [48] and Gaba et al 2014 [49] provided a detail information about the thermal performance of rectangular annular fin which are organized functionally. Aziz and lopez [50] analyze the study the heat transfer process in a rod having variable thermal conductivity which enhance heat transfer by radiation and convection in at the same time.…”

Section: Periodic Heat Transfers From Annular Finsmentioning

confidence: 99%

Analysis of periodic heat transfer through extended surfaces

2023

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This article is concerned with the review of periodic heat transfer through extended surfaces known as fins. In this review, we bring out the detail study of heat transfer of periodic type variation through extended surfaces. Heat transfer which has been remained a warm area of research under various conditions for the researchers in last many decades. In the current analysis, an attempt is appointed to study, analyze and summarize the result of the periodic heat transfer and flow in various fins. Further, we are carried out the analysis for the periodic heat transfers through various kind of extended surface also called fins in the presence of periodic base and ambient temperature. The performance of the extended surface is expressed in terms of the fin effectiveness and its efficiency. The heat transfer process is regulated by three experimentally determined dimensionless parameters such as the frequency parameter w, the convectional fins parameter N, and the amplitude parameter A. Further the fins performance and efficiency are demonstrated through several examples.

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Section: Periodic Heat Transfers From Annular Finsmentioning

confidence: 99%

Analysis of periodic heat transfer through extended surfaces

2023

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“…In another similar work, Aziz 6 reported the exact analytical solution of FGM annular fin having rectangular profile wherein the thermal conductivity depends on the radial coordinate. Gaba et al 7 have reported the performance of FGM annular fins having parabolic shape of constant weight, wherein both thermal conductivity and thickness of fin are varied radially. Aziz et al 8 have reported the thermal performance of conductive‐radiative radial fin having an insulated tip by using differential transformation method (DTM).…”

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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“…Functionally graded materials (FGMs) are highly developed materials in which the properties of the material vary with dimensions continuously. They are heterogeneous materials in which, by varying chemical composition, the microstructure or atomic order properties of the material are controlled in the desired way (Gaba et al, 2016a(Gaba et al, , 2016b. This concept was first developed in Japan.…”

Section: Introductionmentioning

confidence: 99%

“…The performance of functionally graded annular parabolic fins is observed by Gaba et al (2014). In which a comparison of thermal performance has been conducted for different grading and geometry parameters by assuming a constant weight of the fin, a parametric study was performed for different fin profiles by varying the geometry parameters.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of variable thickness longitudinal fin with functionally graded material in dry and fully wet conditions

Bajpai

Soni²,

Gaba

et al. 2022

WJE

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Purpose When the temperature of an air conditioning unit’s fin surface goes below its dew point temperature, condensation forms on the unit’s surface. As a result, the cooling coil’s performance is compromised. By altering the cross-section and heat conductivity of the fins, the performance of such systems can be improved. This study aims to analyze the thermal performance of longitudinal fins made up of a variable thickness (assuming constant weight) and functionally graded material. Design/methodology/approach Different grading parameters are considered for an exponential variation of thermal conductivity. The humidity ratio and the corresponding fin temperatures are assumed to follow a cubic relationship. The Bvp4c solver in MATLAB® is used to solve the differential heat transfer equation resulting from balancing heat transfer in a small segment. Findings Validation of the methodology is provided by previous research presented in this area. For different combinations of grading parameters, geometry parameters and relative humidity, the normalized temperature distribution along the fin length and fin efficiency contours are plotted, and the results are very promising. Originality/value When compared to the efficiency of an isotropic homogenous rectangular longitudinal fin with optimal geometry and grading parameters, a 17% increase in efficiency under fully wet conditions is measured. When it comes to fin design, these efficiency contour plots are extremely useful.

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Thermal performance of functionally graded parabolic annular fins having constant weight

Cited by 16 publications

References 19 publications

Analysis of periodic heat transfer through extended surfaces

Analysis of periodic heat transfer through extended surfaces

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

Performance analysis of variable thickness longitudinal fin with functionally graded material in dry and fully wet conditions

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