Simulation of Thermal Decomposition of Calcium Oxide in a Backward Step Tubular Reactor Containing a Cooling Jacket to Enhance the Heat Transfer and the Rotation Rate

Author:

Alshehri Nawal A.1,Memon Abid A.2,Memon M. Asif23ORCID,Bhayo Bilawal A.4,Bhatti Kaleemullah1ORCID,Hejazi Hala A.5,Jacob Kavikumar3ORCID,Seidu Jamel6ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

2. Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200 Sindh, Pakistan

3. Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, 86400 Johar, Malaysia

4. Department of Mechanical Engineering, Universiti Teknologi PETRONAS, Bandar Seri Islandar, 32610 Perak, Malaysia

5. Mathematical Sciences Department, College of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia

6. School of Railways and Infrastructure Development, University of Mines and Technology (UMaT) Essikado, Sekondi-Takoradi, Ghana

Abstract

The chemical reactions widely operate in industries to enhance the heat transfer rate among the chosen domain. In the current article, we are going to observe an exothermic reaction of calcium oxide and water in a backward step tubular reactor with a cooled surrounded surface. The tubular reactor will be considered axisymmetric with an aspect ratio of 0.5, 0.6, and 0.7 from half radius to the length of the reactor. The governing partial differential equations of mass, momentum, and energy and diffusion equations are solved using the commercial package of finite element method of COMSOL Multiphysics 5.6. A parametric study is done by using the Reynolds number in the range and activation energy E in a range from 71,000 J/mol to 75,000 J/mol. The initial concentration of calcium oxide is tested from 1% to 3%. The computational results will be displayed for the upstream and downstream of the channel. It was concluded that the temperature difference is increasing linearly against the concentration of calcium hydroxide upstream and nonfunctional downstream. The average Sherwood and Nusselt numbers give a positive response with increasing the aspect ratio as well as the Reynolds number. The rotation rate at the middle of the downstream was also concluded using the Reynolds number and aspect ratio.

Funder

Taif University

Publisher

Hindawi Limited

Subject

General Mathematics

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