Investigation of transient coupled conduction and radiation heat transfer in the linearly anisotropic scattering cylindrical medium by spectral collocation method

Sun, Yasong; Li, Xinyu; Zhao, Jiazi; Hu, Yang; Xin, Jing; Ma, Jun; Zhou, Rui-Rui

doi:10.1016/j.ijthermalsci.2021.107308

Cited by 11 publications

(6 citation statements)

References 28 publications

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“…In the presence of convection and radiation, Jagadeesha et al 19 expounded on the thermal performance of a fully wetted semi-spherical fin using a non-Fourier heat conduction model. Several researchers have worked on solving ordinary differential equations using various techniques, including the differential transform method 20 – 24 , sinc collocation approach 10 , finite difference method 25 , spectral collocation method 26 , 27 , least square method 28 and among others. Several of these methodologies are computationally complex because they are trial-and-error in nature or involve complicated symbolic calculations.…”

Section: Introductionmentioning

confidence: 99%

Assessment of thermal distribution through an inclined radiative-convective porous fin of concave profile using generalized residual power series method (GRPSM)

Kumar

Sowmya

Jayaprakash

et al. 2022

Sci Rep

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The thermal distribution in a convective-radiative concave porous fin appended to an inclined surface has been examined in this research. The equation governing the temperature and heat variation in fin with internal heat generation is transformed using non-dimensional variables, and the resulting partial differential equation (PDE) is tackled using an analytical scheme, generalized residual power series method (GRPSM). Moreover, a graphical discussion is provided to examine the consequence of diverse non-dimensional variables including the parameters of convection-conduction, ambient temperature, radiation, heat generation, and porosity effect on the thermal field of the fin. Also, a graph is plotted to analyze the variations in unsteady temperature gradient using the finite difference method (FDM) and generalized residual power series method (GRPSM). The major result of this investigation unveils that as the convection-conduction parameter scale upsurges, the distribution of temperature in the fin diminishes. For the heat-generating parameter, the thermal distribution inside the fin increases.

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Section: Introductionmentioning

confidence: 99%

Assessment of thermal distribution through an inclined radiative-convective porous fin of concave profile using generalized residual power series method (GRPSM)

Kumar

Sowmya

Jayaprakash

et al. 2022

Sci Rep

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“…𝑁 𝑙=1 (10) Coefficients 𝑣 𝑙 , (l = 1,…,N) are the unknowns and the functions 𝛾 𝑙 , are the test functions. A group of N nods Pj of Γ chooses the collocation method.…”

Section: Collocation Methodsmentioning

confidence: 99%

“…The Galerkin technique was employed to Equation (10) consists of selecting an approximate space of p. Besides, p is reported as formerly (10) and, the function γm is the base of this space [16]. The equation defines the coefficient Vm.…”

Section: Gmmentioning

confidence: 99%

“…The collocation method is utilized to crack a third-order differential equation by Stern and Rasmussen [9]. Conductive and radiative heat transfer in a linear anisotropic cylindrical with the spectral position was investigated by couple of equations and in an unsteady flow by Sun et al [10]. Basha and Sivaraj [11] investigated how to generate entropy in a porous tube containing nanofluid.…”

Section: Introductionmentioning

confidence: 99%

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Thermal Analysis of Fluid Flow with Heat Generation for Different Logarithmic Surfaces

Jalili

Mousavi

Jalili

et al. 2022

IJE

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This study investigated the effect of temperature changes on different logarithmic surfaces. Onedimensional heat transfer was considered. The heat generation source term is added to the governing equations. Most scientific problems and phenomena such as heat transfer occur nonlinearly, and it is not easy to find exact analytical solutions. Using the appropriate similarity transformation for temperature and the generation components causes the basic equations governing flow and heat transfer to be reduced to a set of ordinary differential equations. These equations have been solved approximately subject to the relevant boundary conditions with numerical and analytical techniques. According to the given boundary conditions, Collocation, Galerkin, and least squares methods were used to find an answer to the governing differential equations. The validation of the present techniques has been done with the fourth-order Runge-Kutta method as a numerical method. The temperature profiles for different values of β and α have been obtained. The results showed that the proposed methods could consider nonlinear equations in heat transfer. Therefore, the results accepted by current analytical methods are very close to those of numerical methods. Comparing the results provides a more realistic solution and reinforces the conclusions regarding the efficiency of these methods. Furthermore, changes in temperature profiles occur with decreasing and increasing β and α numbers.

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“…Nonlinear transient heat conduction problems are very important in many practical engineering fields such as aerospace engineering (Yang et al , 2015; Gu et al , 2016; Sun et al , 2022), nuclear industry (Tang et al , 2018) and metal casting (Álvarez-Hostos et al , 2019). As it is generally very difficult to find the analytical solution of the nonlinear transient heat conduction problems, a lot of numerical methods have been developed such as the finite element method (FEM) (Lewis et al , 1996; Reddy and Gartling, 2010; Zienkiewicz et al , 2014), finite difference method (Özişik et al , 2017; Chu and Chen, 2008), boundary element method (BEM) (Wrobel and Brebbia, 1987; Bialecki and Kuhn, 1993) and meshless method (Thakur et al , 2010; Singh et al , 2006; Xu et al , 2020).…”

Section: Introductionmentioning

confidence: 99%

An efficient method for transient heat conduction problems with local nonlinearities based on the quasi-superposition principle

Nie

Gao

2022

HFF

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Purpose This paper aims to develop an efficient numerical method for nonlinear transient heat conduction problems with local radiation boundary conditions and nonlinear heat sources. Design/methodology/approach Based on the physical characteristic of the transient heat conduction and the distribution characteristic of the Green’s function, a quasi-superposition principle is presented for the transient heat conduction problems with local nonlinearities. Then, an efficient method is developed, which indicates that the solution of the original nonlinear problem can be derived by solving some nonlinear problems with small structures and a linear problem with the original structure. These problems are independent of each other and can be solved simultaneously by the parallel computing technique. Findings Within a small time step, the nonlinear thermal loads can only induce significant temperature responses of the regions near the positions of the nonlinear thermal loads, whereas the temperature responses of the remaining regions are very close to zero. According to the above physical characteristic, the original nonlinear problem can be transformed into some nonlinear problems with small structures and a linear problem with the original structure. Originality/value An efficient and accurate numerical method is presented for transient heat conduction problems with local nonlinearities, and some numerical examples demonstrate the high efficiency and accuracy of the proposed method.

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Investigation of transient coupled conduction and radiation heat transfer in the linearly anisotropic scattering cylindrical medium by spectral collocation method

Cited by 11 publications

References 28 publications

Assessment of thermal distribution through an inclined radiative-convective porous fin of concave profile using generalized residual power series method (GRPSM)

Assessment of thermal distribution through an inclined radiative-convective porous fin of concave profile using generalized residual power series method (GRPSM)

Thermal Analysis of Fluid Flow with Heat Generation for Different Logarithmic Surfaces

An efficient method for transient heat conduction problems with local nonlinearities based on the quasi-superposition principle

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