Investigation of Heat Transfer from Convective and Radiative Stretching/Shrinking Rectangular Fins

Din, Zia Ud; Ali, Amir; Ullah, Sharif; Zaman, Gul; Shah, Kamal; Mlaiki, Nabil

doi:10.1155/2022/1026698

Cited by 16 publications

(9 citation statements)

References 41 publications

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“…In addition, various parameters are compared with the literature. 17,35,50 It has been observed that the temperature profile of the rectangular and trapezoidal fins decreases as Hartmann number, convection, and radiation parameters increase, but increases as internal heat generation, Peclet number, and ambient temperature parameters decrease. The present work in Figures 2-4 also shows a similar result for trapezoidal and rectangular fins under the effect of the magnetic field.…”

Section: Resultsmentioning

confidence: 99%

Comparative numerical analysis of magnetized rectangular and trapezoidal fins

Ullah,

Din,

Ali

2024

Heat Trans

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Fins are extended surfaces that are designed to dissipate heat from hot sources to their surroundings. The different profiles of fins are used on the equipment surface to improve heat transfer. Fins are extensively used in refrigeration, solar panels, superheaters, electric equipment, automobile parts, combustion engines, and electrical equipment. On the basis of these applications, we study the thermal performances of magnetized convective–radiative‐rectangular fins with magnetized trapezoidal fins with internal heat generation. The shooting technique is used to numerically study the suggested model. It is revealed that magnetized trapezoidal fins transfer more heat than magnetized rectangular fins. It is also revealed that magnetized trapezoidal fins have higher thermal transfer competence than magnetized rectangular fins. When thermal conductivity, radiation–conduction number, and convection–conduction number increase, the fin's efficiency increases. In addition, a Hartmann number indicating the magnetic effect is found to improve heat transfer from the fins. Increasing the magnetism parameter from 0.1 to 0.3 reduced temperature by approximately 4.5%, changing internal heat generation from 0.1 to 0.5 increased temperature distribution by approximately 16%, and changing the Peclet number from 0.1 to 0.3 increased temperature distribution by approximately 15%. The effect of heat transfer coefficient, thermal radiation–conduction and convection–conduction, and dimensionless radiation are also investigated on the performance of the fins.

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Section: Resultsmentioning

confidence: 99%

Comparative numerical analysis of magnetized rectangular and trapezoidal fins

Ullah,

Din,

Ali

2024

Heat Trans

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“…The effects of the different parameters were shown to verify the results obtained in this manuscript. The numerical illustration of the BVPs investigated that the existence and uniqueness results with Ulam stability comprise one of the challenging tasks to investigate for such problems [32][33][34][35][36][37]. The physical systems in the fields of plasma physics, electrical engineering, and biological models, hybrid fractional sequential integro-differential equations (HFSID) play a key role due to their double-fractional-order derivative.…”

Section: Discussionmentioning

confidence: 99%

Ulam Stability of Fractional Hybrid Sequential Integro-Differential Equations with Existence and Uniqueness Theory

Algahtani

2022

Symmetry

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In this paper, a variety of boundary value problems (BVPs) known as hybrid fractional sequential integro-differential equations (HFSIDs) with two point orders (p,q) are investigated. The uniqueness and existence of the solution are discussed via Banach fixed-point theorems. Certain particular theorems associated with Hyers–Ulam and Hyers–Ulam–Rassias stability to the solution, as well as the uniqueness and existence of the solution of the BVPs are studied. The results are illustrated with some particular examples, and the numerical data are analyzed for confirmation of the results. The results obtained in this work are simple and can easily be applicable to physical systems. Furthermore, symmetry analysis of fractional differential equations and HFSIDs are also presented. This is due to the fact that the aforementioned analysis plays a significant role in both the optimization and qualitative theory of fractional differential equations.

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“…They have derived exact solutions for the tip temperature and efficiency of pin fin structures as well. In a recent analysis, the stretching/shrinking longitudinal fin structures subject to convective‐radiative heat exchange were analyzed by Din et al 9 The differential transform method (DTM) was employed by them for the analysis.…”

Section: Introductionmentioning

confidence: 99%

Impact of convective tip condition on the transient thermal behavior of wet porous convective radiative exponential profiled inclined longitudinal fin structures subject to heat generation

Nagaraja

Gireesha

2023

Heat Trans

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A convective‐radiative fully wet porous inclined longitudinal fin of exponential profile is the focus of the current work. The thermal behavior of the fin under unsteady conditions has been analyzed for adiabatic and convective boundary conditions. The exponential fin and its counterpart inverted exponential fin are simultaneously investigated by considering temperature‐relevant thermal conductivity and heat generation. The modeled governing equation upon nondimensionalization reduces to a partial differential equation which is computed by employing the finite difference approach. The impact of relevant parameters like the convective parameter, radiative parameter, wet porous parameter, dimensionless time, exponential index, dimensionless ambient temperature, generation number, thermal conductivity parameter, and angle of inclination on thermal characteristics of exponential and inverted exponential fin structures with adiabatic and convective boundary restrictions have been examined. One of the main outcomes was that the inverted exponential fin with an adiabatic tip gives rise to the highest thermal curve, and the tapered exponential fin with a convective tip resulted in the lowest thermal curve.

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Investigation of Heat Transfer from Convective and Radiative Stretching/Shrinking Rectangular Fins

Cited by 16 publications

References 41 publications

Comparative numerical analysis of magnetized rectangular and trapezoidal fins

Comparative numerical analysis of magnetized rectangular and trapezoidal fins

Ulam Stability of Fractional Hybrid Sequential Integro-Differential Equations with Existence and Uniqueness Theory

Impact of convective tip condition on the transient thermal behavior of wet porous convective radiative exponential profiled inclined longitudinal fin structures subject to heat generation

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