Abstract
Thinking and thought are divine urge in the Great Quran. The published S. El-Mongy theorem (L= eπrsA) correlates eπ with radius r of circular and spherical geometries by a factor sA (θ/10ϕ) to be used for calculations of arc length and astronomical distance. In this article, Sayed’s formula was used to produce correlations with the well-established laws and formulas of different nuclear and radiological fields. The formula was directed to be correlated with half-life time, activity, flux, reaction rate, reactor power, mean free path, photon fluence rate, radiation dose rate and half value thickness equations. It was also oriented to calculate fuel rods circumstances of different reactor types; PWR, BWR, VVER1200 and Candu-6. The produced correlations of eπ and sA with the above mentioned topics are given with simplified reduced forms, limitation and some comparative calculations between old and the proposed innovative formulas. New formulas for sphere volume and surface area and cylinder are also given based on eπ term.
Highlights
Based on Sayeds theorem (1), different nuclear and radiological field laws and equations were correlated and formulated. It may be exceptional and remarkable job to correlate the well-known published nuclear equations with our formula to be integrated with the eπ term
In case of a circle with radius equal to r, the radiation dose rate at any point at the circle boundary can be correlated with equation 1 in 13 to be: 10φ L / e π θ = Γ2 A2 / D2 (14)
II.9) Correlation with Reactor Power formula: The power released in a reactor can be calculated by multiplying the reaction rate by the volume of the reactor results in the total fission rate for the entire reactor
Summary
Based on Sayeds theorem (1), different nuclear and radiological field laws and equations were correlated and formulated. Correlation of volume and surface area of the sphere of radius (r) using Sayed formula (1) can be expressed as: Sphere volume = 4/3 πr3 = 0.4905 eπr[3] (5) In case of a circle with radius equal to r, the radiation dose rate at any point at the circle boundary can be correlated with equation 1 in 13 to be: 10φ L / e π θ = Γ2 A2 / D2 (14)
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