Two-Phase Numerical Simulation for the Heat and Mass Transfer Evaluation Across a Vertical Deformable Sheet with Significant Impact of Solar Radiation and Heat Source/Sink

• Published in: Arabian journal for science and engineering (2011) Vol. 49; no. 8; pp. 11053 - 11071
• Main Authors: Obalalu, A. M., Oni, M. O., Khan, Umair, Abbas, Amir, Muhammad, Taseer, Zaib, Aurang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-08-2024; Springer Nature B.V
• Subjects: Chebyshev approximation; Deformation effects; Differential equations; Diffusion layers; Electrical resistivity; Energy consumption; Energy sources; Engineering; Fluid flow; Formability; Heat transmission; Humanities and Social Sciences; Industrial development; Laminar boundary layer; Laminar flow; Laminar mixing; Mass transfer; Materials processing; multidisciplinary; Nanofluids; Optical density; Ordinary differential equations; Radiation; Research Article-Mechanical Engineering; Science; Solar heating; Solar radiation; Two dimensional boundary layer; Two dimensional flow; Two phase flow; Two phase materials; Two-phase nanofluid; Wavelets and Chebyshev wavelets scheme (CWS); Multiple slips; Non-Newtonian; Solar radiation
• ISSN: 2193-567X; 1319-8025; 2191-4281
• DOI: 10.1007/s13369-023-08585-z

The growing need for industrial development, limited availability of non-renewable energy resources, minimizing energy consumption, and ecosystem concerns has prompted researchers to explore the practical applications of two-phase nanofluid materials processing and electromagnetic energy emitted via the sun. Therefore, using two-phase nanofluids in solar thermal technology systems can enhance system performance by improving heat absorption and transfer efficiency. Owing to its usage, this study examines the magnetized two-phase nanofluid flow on a two-dimensional laminar mixed convective boundary layer with the impact of multiple slips. The flow contains an electrically conducting non-Newtonian nanofluid over a deformable (stretching/shrinking) sheet with a solar radiation effect. Also, the study utilizes a nonlinear Roseland diffusion flux approximation to incorporate the solar radiation effect, which is valid for nanofluid media with high optical density. This work utilizes similarity variables to simplify the partial derivative model into ordinary differential equations. These equations are then solved using the wavelets and Chebyshev wavelets scheme with the help of MATHEMATICA 11.3 software. According to the findings, the nanoparticle volume fraction is increased for high electrical conductivity (
M
 = 2) and decreased for the electrically non-conducting case (
M
 = 0).