Analysis of flow and heat transport between converging channel
Industrial Engineering Department, College of Engineering, University of Ha’il, Ha’il, Saudi Arabia
2 Department Mechanical Engineering, School of Material Sciences and Engineering, Georgia Institute of Technology, Atlanta, GA, USA
3 Department of Mathematics, University of Peshawar, Peshawar, Pakistan
4 Department of Mathematics and Statistics, University of Haripur, 22620, Haripur, Pakistan
5 Department of Mechanical Engineering, College of Engineering, University of Ha’il, 81451, Ha’il, Saudi Arabia
6 Laboratory of Thermal and Energy Systems Studies, National School of Engineering of Monastir, University of Monastir, 5000, Monastir, Tunisia
Accepted: 3 March 2023
Published online: 6 April 2023
Heat transport analysis for non-Newtonian fluid flows between non-parallel wall channels has sustainable significance in high-performance thermal engineering processes. In recent years, this analysis is extensively used in numerous natural flows and industrial processes, for instance, blood flow through human veins, lubrication systems, automobile radiators, thermal pumps, and water purification processes, etc. Therefore, this research, it is targeted to enhance thermal performance with the addition of ultrafine metallic nanoparticles into working fluids. With this goal in mind, this research work presents a numerical investigation for buoyancy-driven flow of Carreau nanofluids confined in a vertical converging enclosure. In addition, heat and mass transport analysis with non-linear thermal radiation and activation energy are mathematically formulated via Buongiorno’s model. A new formulation is developed for purely radial flow inside this converging channel and appropriate non-dimensional variables are utilized for problem simplification. These transformed equations are then numerically tackled with the help of a versatile numerical method, bvp4c function in MATLAB. The simulated results are portrayed by virtue of nanofluid velocity, temperature, and concentration distributions with variation in governing dimensionless parameters. The results indicate that the velocity was significantly reduced with higher activation energy parameter. Moreover, the higher values of the Grashof number yields increasing conduct in velocity distributions.
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