Analytic solution of two-group static neutron diffusion equation using different transverse leakage approximations in 2D cartesian geometry

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Nodal is a method for solving the neutron diffusion equation. It is categorized to analytic, semi-analytic and expansion nodal methods. In this research work, a software is developed in order to solve two group neutron diffusion equations in two dimensional Cartesian geometries. There are some approaches to the analytical solution of the neutron diffusion. An interesting approach, that is our recent concern, is the transverse leakage approximation. Based on this approximation, the two-dimensional diffusion equation is split into two one-dimensional equations and is solved analytically for each energy group. In this paper, we used flat and quadratic polynomials in order to approximate the transverse leakage terms. Finally, two reference problems are solved for verifying the proposed method. The results showed that the analytic nodal method with quadratic transverse leakage approximation gives very accurate results for the reactor core calculations.
Language:
Persian
Published:
Journal of Nuclear Science and Tehnology, Volume:35 Issue: 4, 2015
Pages:
45 to 52
magiran.com/p1392942  
دانلود و مطالعه متن این مقاله با یکی از روشهای زیر امکان پذیر است:
اشتراک شخصی
با عضویت و پرداخت آنلاین حق اشتراک یک‌ساله به مبلغ 1,390,000ريال می‌توانید 70 عنوان مطلب دانلود کنید!
اشتراک سازمانی
به کتابخانه دانشگاه یا محل کار خود پیشنهاد کنید تا اشتراک سازمانی این پایگاه را برای دسترسی نامحدود همه کاربران به متن مطالب تهیه نمایند!
توجه!
  • حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران می‌شود.
  • پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانه‌های چاپی و دیجیتال را به کاربر نمی‌دهد.
In order to view content subscription is required

Personal subscription
Subscribe magiran.com for 70 € euros via PayPal and download 70 articles during a year.
Organization subscription
Please contact us to subscribe your university or library for unlimited access!