Two-time level finite-difference method for solving the downstream diffusion for flow between Parallel plates | ||||
| Journal of Engineering Science and Military Technologies | ||||
| Article 2, Volume 8, Issue 1, March 2024, Page 20-30 PDF (1.74 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ejmtc.2023.185669.1244 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Hany Abdelhaliem Saad  1; Hamada Asker2
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| 1Mechanical Power engineering department, Faculty of engineering, Ain Shams university | ||||
| 2Math and Physics Department, Faculty of Engineering, Ain Shams University, Cairo, Egypt | ||||
| Abstract | ||||
| The heat transport equation for laminar flow between isothermal parallel-plate channels in the entrance region is solved numerically. The heat transport equation is solved using the rightward representation of Barakat-Clark ADE method. The proposed numerical method uses the two-time levels derivative to solve the unsteady term in the transport equation. The unsteady term presented using two-time level derivative at n and n+1 combined with backward derivative i and i-1. The heat equation contains the unsteady term and the axial heat term. The heat transfers within flow between two parallel plates. The results for the local Nusselt number, the mean temperature, and thermal entry length is shown. The analysis provides the temperature distribution considering the axial heat conduction and the downstream diffusion. The results show the effect of the upstream on the inlet temperature and ensure the reliability of the proposed numerical method to solve the transport equation including the unsteady term and the two-dimensional partial derivative. | ||||
| Keywords | ||||
| Convection heat transfer; downstream diffusion; parallel plates; Nusselt number | ||||
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