Effect of Williamson Nanofluid Across an Exponentially Stretched Sheet with Chemical Reaction Under the Influence of Joules Heating

• Published in: International journal of applied and computational mathematics Vol. 11; no. 2
• Main Authors: Swami, Sharanayya, Biradar, Suresh, Tawade, Jagadish V., Kulkarni, Nitiraj V., Yuldashev, Farrukh, Gupta, Manish, Khan, M. Ijaz
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.04.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Biomedical engineering; Biomedical materials; Boundary layers; Chemical engineering; Chemical reactions; Coefficient of friction; Computational Science and Engineering; Dimensionless analysis; Fluid flow; Heat sources; Impact analysis; Mass transfer; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nanofluids; Nonlinear differential equations; Nuclear Energy; Ohmic dissipation; Operations Research/Decision Theory; Original Paper; Parameters; Partial differential equations; Resistance heating; Skin friction; Theoretical; Thermal radiation; Thermal transformations; Thermal radiation; Nusselt number; Skin friction; Williamson nanofluid; Joule heating; Chemical reactions; Sherwood number; Non-Newtonian fluids; Viscous dissipation; Exponentially stretched sheet
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-025-01837-6

This study investigates the heat and mass transfer characteristics of Williamson nanofluid flow over an exponentially stretched sheet under the combined influences of Joule heating, viscous dissipation, thermal radiation, and chemical reactions. The governing partial differential equations describing the flow, thermal, and concentration fields are transformed into nonlinear ordinary differential equations using similarity transformations and solved numerically with the MATLAB bvp4c solver. The analysis examines the impact of key dimensionless parameters, including the Williamson parameter, magnetic field parameter, and thermal radiation parameter, on velocity, temperature, and concentration profiles. Furthermore, the effects on engineering quantities such as skin friction coefficient, Nusselt number, and Sherwood number are presented graphically and discussed. Results reveal that the interaction between non-Newtonian behavior, heat sources, and reactive effects significantly influences boundary layer dynamics. This study contributes to the optimization of processes in industries such as polymer extrusion, chemical engineering, and biomedical applications.