ANALYSIS OF THREE-DIMENSIONAL CASSON FLUID FLOW AND HEAT TRANSFER INFLUENCED BY HOMOGENEOUS AND HETEROGENEOUS REACTION MECHANISMS
S. Kemparaju¹, R. D. Jagadeesha², M. S. Sunitha³, P. B. Sampath Kumar⁴,⁵
¹ Department of Mathematics, Government First Grade College, Ramanagara, Karnataka, India
² Department of Mathematics, Government First Grade College for Women, Holenarasipura, Karnataka, India
³ Department of Mathematics, Government First Grade College, Tumkur, Karnataka, India
⁴ Department of Studies and Research in Mathematics, Ramanagara PG Centre, Bangalore University, Karnataka 562159, India
⁵Universidad Bernardo O’Higgins, Facultad de Ingeniería, Ciencia y Tecnología, Departamento de Formación y Desarrollo Científico en Ingeniería, Av. Viel 1497, Santiago, Chile
Abstract: The present study examines the magnetohydrodynamic flow of a Casson fluid over a stretching sheet while accounting for homogeneous and heterogeneous chemical reactions. The model further incorporates Joule heating, viscous dissipation, nonlinear thermal convection, and radiative heat transfer relevant to moderately high temperatures. The resulting system of nonlinear ordinary differential equations is tackled numerically using the RKF-45 method combined with a shooting technique. The influence of key physical parameters on the velocity, temperature, and concentration fields is thoroughly analyzed through graphical and tabulated results. The findings indicate that increases in homogeneous and heterogeneous reaction parameters reduce species concentration and shrink the associated boundary layers, while stronger thermal radiation and higher temperature-ratio parameters elevate the fluid temperature.
Keywords: Casson fluid, homogeneous, heterogeneous, viscous dissipation, radiation.
VOLUME 10 ISSUE 01 2026: 153 – 176