Nodal Integral method for multi-group neutron diffusion equation in three dimensional cylindrical coordinate system

Raj, M. Sundar; Singh, Suneet

doi:10.1016/j.anucene.2020.107904

Cited by 5 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cylindrical coordinates are a crucial coordinate system in various scientific and engineering applications, particularly in phenomena based on cylindrical symmetry [4]. One critical step in analyzing problems within cylindrical coordinate systems is to express the Laplace operator in a form that corresponds to those coordinates [5]. This is essential for solving heat equations, Laplace equations, and various other partial differential equations within cylindrical coordinates [6].…”

Section: Introductionmentioning

confidence: 99%

Heat Conduction in Cylindrical Coordinates with Time-Varying Conduction Coefficients: A Practical Engineering Approach

Alfaris,

Siagian,

Muhammad

et al. 2023

JMEST

View full text Add to dashboard Cite

This research aims to develop a mathematical method for expressing the Laplace operator in cylindrical coordinates and applying it to solve heat conduction equations in various scenarios. The method commences by transforming Cartesian coordinates into cylindrical coordinates and identifying the necessary substitutions. The result is the expression of the Laplace operator in cylindrical coordinates, which is subsequently employed to address heat conduction equations within cylindrical coordinates. Various cases encompassing different initial and boundary conditions, as well as variations in the conduction coefficient over time, are meticulously considered. In each instance, precise mathematical solutions are determined and subjected to thorough analysis. This study carries substantial implications for comprehending heat transfer within cylindrical coordinate systems and finds relevance in a wide array of scientific and engineering contexts. The research's findings can be harnessed for technology development, heating system design, and heat transfer modeling across diverse applications, including mechanical engineering and materials science. Therefore, the research's contribution holds paramount significance in advancing our understanding of heat transfer within cylindrical coordinates and in devising more efficient and accurate solutions for an array of heat-related issues within the realms of science and engineering.

show abstract

Section: Introductionmentioning

confidence: 99%