Similarity solution for induced magnetic field boundary layer flow of metallic nanofluids via convectively inclined stationary/moving flat plate: Spectral relaxation computation

• Published in: Zeitschrift für angewandte Mathematik und Mechanik 2022-04, Vol.102 (4), p.n/a
• Main Authors: Akter, Shahina, Ferdows, Mohammad, MD, Shamshuddin, Siri, Zailan
• Format: Article
• Language: English
• Subjects: Boundary layer flow; Copper; Flat plates; Flow equations; Fluid flow; Free convection; Incompressible flow; Interplanetary magnetic field; Iterative methods; Magnetic fields; Material properties; Mathematical models; Nanofluids; Nanoparticles; Nusselt number; Perturbation; Relaxation method (mathematics); Silver; Similarity solutions; Skin friction
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.202100179

The present article describes a mathematical model for incompressible free convection flow with convective heat transport from an inclined stationary/moving flat plate under impact of induced magnetic field (IMF). The current flow model is formulated to consider different water‐based nanofluids with metallic nanoparticles (Copper and Silver). Effectively a nanoscale formulation with the Tiwari‐Das model deployed to study material properties for specific nanoparticles and base fluid. A similarity solution is obtained for non‐dimensional form via similarity transformation rendered from basic flow equations for which numerical simulations utilizing the Spectral Relaxation Method (SRM). SRM is a simple iteration scheme that does not require any evaluation of derivatives, perturbation and linearization for solving non‐linear system of equations. Graphical results for linear velocity, IMF, temperature, skin friction and Nusselt number distributions are presented for the different metallic‐aqueous nanofluid cases as well as stationary/moving flat plate. The results are verified for limiting cases by comparing with various investigators for the case of stationary as well as moving flat plate and found to be in excellent agreement. Furthermore, computed numerical results for skin friction and Nusselt number for different emerging parameters in case Cu and Ag nanofluids for moving plate which are tabulated and discussed in detail. The present article describes a mathematical model for incompressible free convection flow with convective heat transport from an inclined stationary/moving flat plate under impact of induced magnetic field (IMF). The current flow model is formulated to consider different water‐based nanofluids with metallic nanoparticles (Copper and Silver). Effectively a nanoscale formulation with the Tiwari‐Das model deployed to study material properties for specific nanoparticles and base fluid.…