Calculation of Transitory Temperature Distribution in a Rectangular Shaft using Crank-Nicolson Scheme

Authors

  • Muhammad Nadeem Department of Mathematics, Lahore Leads University, Pakistan Author
  • Nabeela Shaheen Department of Mathematics & Statistics, Bahauddin Zakariya University, Pakistan Author
  • Muhammad Moaz Safer Department of Mathematics & Statistics, Bahauddin Zakariya University, Pakistan Author
  • Hira Fatima Department of Mathematics, Lahore Leads University, Pakistan Author
  • Abdul Raheem Department of Mathematics, Lahore Leads University, Pakistan Author
  • Tazeem Fatima Department of Mathematics, Government College University Faisalabad, Pakistan Author

Abstract

In this study, the Crank-Nicolson scheme (CNS) was employed to calculate the transient temperature distribution within a rectangular shaft. The shaft boundary was discretized into ten equal intervals, each with a grid point. The length of each interval, δx, was 0.01. Eleven grid points were utilized, with the temperatures at the first and eleventh grid points maintained at 0°C throughout the computation. The computational procedure for determining the transient temperature at the grid points was used to develop a MATLAB computer program. The computed results were then compared to the exact solutions. The accuracy of the CNS was evaluated through the use of tables and graphs

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Published

2024-06-30

Issue

Vol. 14 No. 3 (2024)

Section

Articles

How to Cite

Calculation of Transitory Temperature Distribution in a Rectangular Shaft using Crank-Nicolson Scheme. (2024). International Journal of Current Engineering and Technology, 14(3), 106-112. https://ijcet.evegenis.org/index.php/ijcet/article/view/1278