Neutrons diffusion variable coefficient advection in nuclear reactors

El-Nabulsi, Rami Ahmad

doi:10.1016/j.jandt.2021.06.005

Cited by 2 publications

(1 citation statement)

References 23 publications

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“…This correlation between the GUP and long-range effects may have interesting consequences in several fields, including higher-dimensional black holes, [52] cosmology, [53] dark energy [54,55] and quantum geometry [56,57] among others. [58][59][60][61][62][63][64] A variable family of nonnegative integrable kernels may be chosen which are not necessarily symmetric, which may give rise to various phenomenological quantum effects. Work in these directions is under construction.…”

Section: -2mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

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We prove the existence of an analogy between spatial long range interactions which are of convolution-type introduced in non-relativistic quantum mechanics and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black holes temperatures effects are discussed. It was observed that for specific choices of the moment's kernels, cold black holes may emerge in the theory.

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Section: -2mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

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A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series

El-Ajou,

Shqair,

Ghabar

et al. 2023

Front. Phys.

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A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material reactors. Various boundary conditions are investigated, including zero flux on the boundary, zero flux on the extrapolated boundary distance, and the radiation boundary condition (RBC). The study also shows how two hemispheres with opposing flat faces interact. We give numerical results for the same energy neutrons diffused in pure P239u. By qualitative comparison with the homotopy perturbation method and Bessel function-based solutions, the residual power series method (RPSM) presents accurate series solutions that converge to the exact solutions, as shown in this study. Moreover, numerical results were shown to be improved by the computer implementation of the analytic solutions.

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Neutrons diffusion variable coefficient advection in nuclear reactors

Cited by 2 publications

References 23 publications

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series

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