Analytical solution for temperature equation of a fin problem with variable temperature-dependent thermal properties: Application of LSM and DTM-Pade approximant

Alhejaili, Weaam; Kumar, R. S. Varun; El‐Zahar, Essam R.; Sowmya, G.; Prasannakumara, B. C.; Khan, M. Ijaz; Yogeesha, K M; Qayyum, Sumaira

doi:10.1016/j.cplett.2022.139409

Cited by 17 publications

(4 citation statements)

References 33 publications

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“…The closed-form-based series solutions for the velocity and temperature profile of the hybrid nanofluid flow were presented by Christopher et al [25] via the DTM procedure. Alhejaili et al [26] inspected heat transference features of a radiant longitudinal fin using the DTM algorithm.…”

Section: Introductionmentioning

confidence: 99%

Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties

et al. 2023

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The temperature distribution in a conductive-radiative rectangular profiled annular fin with internal heat generation is scrutinized in the present investigation. The nonlinear variation of thermal conductivity and heat transfer coefficient governed by the power law is considered. The analytical approximation for the non-dimensional temperature profile is obtained using the differential transform method (DTM)-Pade approximant. The nondimensionalization of the governing energy equation using dimensionless terms yields a nonlinear ordinary differential equation (ODE) with corresponding boundary conditions. The resulting ODE is analytically solved with the assistance of the DTM-Pade approximant procedure. Furthermore, the impact of thermal parameters on the temperature field and thermal stress is elaborated with graphs. The important results of the report divulge that temperature distribution greatly enhances with an augmentation of the heat generation parameter, but it gradually reduces with an increment in the magnitude of the thermogeometric and radiative-conductive parameter.

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Section: Introductionmentioning

confidence: 99%

Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties

et al. 2023

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“…Simulation analysis for a rectangular structured straight fin was carried out by Kumar et al [10] to explore the temperature variation and transmission of heat through the fin. Implementation of analytical schemes to probe the result for the governing equation of a rectangular straight fin was executed by Alhejaili et al [11] and discussed the impact of internal heat production on the fin's thermal variation. The role of radiation and convection on heat transmission of the longitudinal fin was studied by Gouran et al [12] with production of internal heat.…”

Section: Introductionmentioning

confidence: 99%

“…Implementation of analytical schemes to probe the result for the governing equation of a rectangular straight fin was executed by Alhejaili et al. [11] and discussed the impact of internal heat production on the fin's thermal variation. The role of radiation and convection on heat transmission of the longitudinal fin was studied by Gouran et al.…”

Section: Introductionmentioning

confidence: 99%

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Thermal performance of a longitudinal fin under the influence of magnetic field using Sumudu transform method with pade approximant (STM‐PA)

et al. 2023

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Temperature distribution, and efficiency of a rectangular profiled longitudinal fin are examined in this investigation with the impact of the magnetic field. By exploiting appropriate non‐dimensional terms, the heat transfer equation incorporating temperature‐dependent thermal conductivity, heat transfer coefficient, and Maxwell expression for the effect of the magnetic field yield a dimensionless nonlinear ordinary differential equation (ODE) with corresponding boundary conditions (BCs). Sumudu transform method with Pade approximant (STM‐PA) has been employed to obtain an analytical solution for the temperature profile of a longitudinal rectangular fin subjected to a uniform magnetic field under multi‐boiling heat transfer. The STM‐PA results are compared to the Runge‐Kutta Fehlberg's fourth‐fifth (RKF‐45) order technique for computational verification and are observed to be in good accordance. The behavior of dimensionless temperature profile has been explicated graphically for diverse values of non‐dimensional parameters such as thermal conductivity parameter, Hartmann number, and thermogeometric parameter. The results of this study show that as the thermal conductivity parameter enriches, the temperature profile of the longitudinal fin improves, whereas it declines for the Hartmann number and thermogeometric parameter. Under multi‐boiling heat transference, fin efficiency varies significantly depending on the impact of pertinent variables.

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LSM analysis of thermal enhancement in KKL model-based unsteady nanofluid problem using CCM and slanted magnetic field effects

Adnan,

Nadeem,

Said

2023

J Therm Anal Calorim

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Analytical solution for temperature equation of a fin problem with variable temperature-dependent thermal properties: Application of LSM and DTM-Pade approximant

Cited by 17 publications

References 33 publications

Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties

Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties

Thermal performance of a longitudinal fin under the influence of magnetic field using Sumudu transform method with pade approximant (STM‐PA)

LSM analysis of thermal enhancement in KKL model-based unsteady nanofluid problem using CCM and slanted magnetic field effects

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