Three-dimensional flow of nanofluid over a non-linearly permeable shrinking sheet by using bvp4c method / Norfatin Umairah Mohd Yunus, Nurul Anis Najwa Khairul Anuar and Amirah Abu Bakar

• Main Authors: Mohd Yunus, Norfatin Umairah, Khairul Anuar, Nurul Anis Najwa, Abu Bakar, Amirah
• Format: Student Project
• Language: English
• Published: 2023
• Subjects: Mathematical statistics. Probabilities
• Online Access: https://ir.uitm.edu.my/id/eprint/83456/1/83456.pdf; https://ir.uitm.edu.my/id/eprint/83456/

This study examines the three-dimensional flow of nanofluids over a non-linear, permeable, shrinking sheet. The goal of this study is to understand the mathematical model, including its parameters, boundary conditions, and equation. First, the governing equation is modelled, and then the similarity transformation approach is used to change the equation from a partial differential equation (PDE) to an ordinary differential equation (ODE). The obtained similarity equations are numerically solved. MATLAB software with the bvp4c approach is used to solve the resulting mathematical model with different values of parameters. The results are displayed as tables and graphs to highlight the impact of the physical parameters. The table was used for comparing with the previous study by Saleh et al. (2020) that used shooting methods, while the graph was used for visualizing the research. It has been discussed how the governing parameters affect the local Reynolds numbers in the x and y directions, the velocity profiles, temperature profile, and heat transfer.