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Journal : Journal of Mechanical Engineering Science and Technology

Heat Conduction in Cylindrical Coordinates with Time-Varying Conduction Coefficients: A Practical Engineering Approach Alfaris, Lulut; Siagian, Ruben Cornelius; Muhammad, Aldi Cahya; Nasution, Budiman
Journal of Mechanical Engineering Science and Technology (JMEST) Vol 7, No 2 (2023)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um016v7i22023p157

Abstract

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.
Co-Authors Abdul Rahman Afriana Kusdinar Aldi Cahya Muhammad Anas Noor Firdaus Andri Wahyudi Ariefka, Reza Arif Baswantara Arip Nurahman Arip Nurahman Arip Nurahman Arip Nurahman Aunzo, Jr., Rodulfo T. Budiman Nasution Dolfie Paulus Pandara Eko Pramesti Sumarto Eko Pramesti Sumarto Firdaus, Anas Noor Froilan Delute Mobo Gendewa Tunas Rancak Gendewa Tunas Rancak Ghulab Nabi Ahmad Godwin Latuputty Goldbert Harmuda Duva Sinaga Hakim, Muhammad Romdonul Harahap, Veryyon Hareva, Batih Shendy Capri Hassan, Rohana Indah Indah Karim, Mohammad Alfin Kennedi Sembiring Laeiq, Nazish Martin Anjar Ginanjar Martin Anjar Ginanjar Ma’muri Ma’muri Mia Endang Sari Sinaga Nasution, Habibi Azka Nazish Laeiq Nazish Laeiq Nazish Laeiq Nazish Laeiq Nunik Wijayanti Nurahman, Arip Nyuswantoro, Ukta Indra Nyuswantoro, Ukta Indra Nyuswantoro Pandara, Dolfie Paulus Prayitno, Muhammad Riyono Edi Putri, Miranda Putriara Tresa Fitira Rahdiana, Nana Raihan Natawisastra Rancak, Gendewa Tunas Rikha Bramawanto Rikha Bramawanto Riyanto, Raditya Danu Ruben Cornelius Siagian Ruben Cornelius Siagian Ruben Cornelius Siagian Ruben Cornelius Siagian Ruben Cornelius Siagian Ruben Cornelius Siagian Sahroni, Taufik Roni, Mr. Sembiring, Kennedi Siagian , Ruben Cornelius Siagian, Ruben Cornelius Suhara, Ade Suhernalis Taufik Roni Sahroni Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Ukta Indra Nyuswantoro Wanri Lumbanraja Wibowo, Yuni Ari Winsyahputra Ritonga winsyahputra Ritonga Yasin, Verdi