Hybrid differential transform method/smoothed particle hydrodynamics and DT/finite difference method for transient heat conduction problems

Lin, Yinwei; Chang, Kai-Han; Chen, Cha'o. Kuang

doi:10.1016/j.icheatmasstransfer.2020.104495

Cited by 8 publications

(3 citation statements)

References 20 publications

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“…This concept is in synchronism with the shapes of undulations in the wheels of the vehicles. Lower adiabatic wall in Ω 𝐹𝐸𝑀 Γ 5 Right vertical wall in Ω 𝐹𝐸𝑀 Γ 6 Upper adiabatic wall in Ω 𝐹𝐸𝑀…”

Section: Discussionmentioning

confidence: 99%

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Hybrid Approach with Parallel Algorithm for Simulation of Natural Convection in Nanofluid filled inside Wavy Square Enclosure with Varying Undulations

Nishad

Bhargava

2023

Preprint

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Purpose- The current paper is aimed to study the numerical simulation of natural convection in water based nanofluid containing Cu-nanoparticles filled inside a wavy square enclosure with varying undulations by implementing hybrid EFGM/FEM with parallel algorithm. Design/methodology/approach- The flow is steady, laminar and incompressible with single phase model of nanofluid. The enclosure is wavy in nature with sinusoidal formulation having fixed amplitude (A=0.15) while the number of undulations is varied. A uniform magnetic field of strength B0 is applied at an inclination angle γ. The effect of various parameters; Rayleigh number (Ra), Hartmann number (Ha), number of undulations (n) and magnetic field inclination angle (γ) on rate of heat transfer has been analyzed. Hybrid EFGM/FEM approach is implemented. Findings- Simulation is done for the average Nusselt number calculated at the cold wavy surface, streamlines and isotherms. In order to enhance the computational efficiency, hybrid EFGM/FEM approach with parallel algorithm is implemented. It is observed that the computational time for the hybrid EFGM/FEM is less as compared to that for the element free Galerkin technique. Moreover, on increasing the number of undulations upto 4, the rate of heat transfer increases through the cavity while the number of undulations above 4 results in decreased rate of heat transfer. Originality/value- The implementation of meshfree methods has wide range of applications in phase transition problems, fracture mechanics, plate bending and moving phase boundaries etc. The parallelization of the hybrid scheme has improved the computational efficiency which is a significant novelty of the paper and is not found in the existing literature for such problems. Moreover, another novelty of the paper is the undulated geometry which has many applications in solar panels, electronic chips, generative heat exchangers etc. for controlling the heat transfer rate.

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Section: Discussionmentioning

confidence: 99%

“…Liu et al [4] carried out the hybrid method for 3D hydraulic crack analysis. Furthermore, Lin and Chang [5] studied the transient heat conduction problem within the framework of coupled DT/SPH method. Jain et al [6] simulated natural convection inside L-shaped cavity filled with power-law nanofluid with hybrid EFGM/FEM method.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Approach with Parallel Algorithm for Simulation of Natural Convection in Nanofluid filled inside Wavy Square Enclosure with Varying Undulations

Nishad

Bhargava

2023

Preprint

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show abstract

“…According to the concept of differential transform method [47][48][49][50], the function y(x) can be defined as follows:…”

Section: Basic Rules Of Transformationmentioning

confidence: 99%

Mode shape analysis of dynamic behaviour of cracked nanobeam on elastic foundation

Hossain

Lellep

2021

Eng. Res. Express

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Differential transform method for the solutions to some initial value problems in chemistry

Qin

Lou

2021

J Math Chem

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Hybrid differential transform method/smoothed particle hydrodynamics and DT/finite difference method for transient heat conduction problems

Cited by 8 publications

References 20 publications

Hybrid Approach with Parallel Algorithm for Simulation of Natural Convection in Nanofluid filled inside Wavy Square Enclosure with Varying Undulations

Hybrid Approach with Parallel Algorithm for Simulation of Natural Convection in Nanofluid filled inside Wavy Square Enclosure with Varying Undulations

Mode shape analysis of dynamic behaviour of cracked nanobeam on elastic foundation

Differential transform method for the solutions to some initial value problems in chemistry

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