Title: An application of spectral linearisation method on the steady two-dimensional radial flow of Au-water and Ag-water nanofluids between two inclined plane walls

Authors: Upendar Mendu

Addresses: Department of Mathematics, School of Science, GITAM (Deemed to be University), Hyderabad, Telangana – 502329, India

Abstract: The present work purveys the steady two-dimensional viscous incompressible radial flow of Au-water and Ag-water nanofluids between plane walls which either converge or diverge in the presence of MHD effect. A uniform magnetic field is applied. The governing partial differential equations of the present physics and their appropriate boundary conditions are initially cast into the dimensionless forms to reduce into the ordinary differential equation. The resulting equation thus formed is then solved by adopting the spectral linearisation method (SLM) to get the accurate numerical solution. Solution errors and residual norms were analysed to elaborate the convergence and accuracy of the numerical solution. The present results are validated with favourable comparisons to previously published results due to the current investigations' unique cases. Parametric study of the governing parameters, namely the magnetic field strength parameter M, Reynolds number Re, angle of inclination α, and the volume fraction parameter ɸ on the non-dimensional velocity is conducted. The analysis discloses that the profiles of the flow are largely impacted by the physical parameters.

Keywords: Jeffery-Hammel flow; Au-water nanofluid; Ag-water nanofluid; MHD; spectral linearisation method; SLM.

DOI: 10.1504/IJMMNO.2023.127844

International Journal of Mathematical Modelling and Numerical Optimisation, 2023 Vol.13 No.1, pp.49 - 63

Received: 15 Aug 2021
Accepted: 13 Jun 2022
Published online: 19 Dec 2022 *