Steady – State Heat Conduction in Rectangular and Cylindrical Geometries: A Review

Osama Mohammed Elmardi Suleiman Khayal¹, Salih Eltahir Elmarud Ali², Awadalla Ahmed³ and Ahmed Ali Mustafa Mohammed⁴

^1,3,4Department of Mechanical Engineering, College of Engineering and Technology, Nile Valley University – Atbara – Sudan

²Department of Industrial Engineering, Jazan University, 45142 Jazan, Saudi Arabia

Corresponding Author: osamamm64@gmail.com

Abstract

This review article aims to consolidate knowledge on steady-state heat conduction by providing a comprehensive overview of the fundamental principles and equations applicable to both rectangular and cylindrical geometries. It evaluates various analytical, numerical, and empirical methods for solving heat conduction problems, highlighting differences in thermal resistance and heat transfer coefficients between the two shapes. The article reviews existing research to pinpoint trends and gaps, discusses practical engineering applications such as thermal management and building materials, and suggests areas for future research, especially in computational techniques and innovative materials. Emphasizing the significance of steady-state conditions in heat transfer systems for their predictability and management, the article underlines the features of steady-state conduction, including homogeneous material properties, equilibrium state, and absence of energy storage, noting its crucial role in enhancing the performance and energy efficiency of engineering systems.

Keywords: Historical Background; Rectangular Co-Ordinate; Cylindrical Co-Ordinate; Steady One-Dimensional Conduction; Heat Generation; Rectangular Slab; Solid Wire; Hollow Wire.