Thermal and Flow Dynamics of Magnetohydrodynamic Burgers' Fluid Induced by a Stretching Cylinder with Internal Heat Generation and Absorption

• The study analyzes the flow dynamics of magnetohydrodynamic Burgers' fluid induced by cylinder stretching, incorporating the effects of internal heat generation and absorption. • A boundary layer theory approach is implemented, transforming the governing partial differential equations into a system of ordinary differential equations for effective analysis. • The BVP4C method is utilized to accurately solve the flow and temperature equations, facilitating a comprehensive examination of the thermal energy transfer characteristics. • Graphical results demonstrate how various physical parameters influence the thermal and flow profiles of Burgers' fluids, offering detailed insights into the dynamics of the system. • The findings are corroborated with existing literature, ensuring the consistency and significance of the results in the study of Burgers' fluid behavior. • The insights gained from this research have potential implications for the design of advanced biomedical devices, enhancing their thermal and fluid management properties This study investigates the flow dynamics of magnetohydrodynamic Burgers' fluid induced by a stretching cylinder, emphasizing the effects of internal heat generation and absorption. A temperature-dependent heat source is integrated to examine the characteristics of thermal energy transfer within the system. By applying boundary layer theory, we transform the governing partial differential equations into a standard system of ordinary differential equations through similarity transformations. The BVP4C method is utilized to accurately solve the resulting equations for velocity and temperature profiles. Graphical representations illustrate the influence of various physical parameters on both thermal and flow profiles, supported by comprehensive analytical interpretations. To validate our findings, a comparison with existing literature is performed, confirming the consistency and significance of our results. This research offers valuable insights into the thermal and fluid behaviors of Burgers' fluids, with promising applications in the development of advanced biomedical devices.