Research Information System
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, vol.208, 2025 (SCI-Expanded)
One of the most ingenious ways to control the flow and its dynamics in boundary layers is the use of an electromagnetic actuator setup called a Riga plate. Through the interaction of electric and magnetic forces, stabilized flow motion can be achieved over the Riga plate. The stringent control provided by the electromagnetohydrodynamic Lorentz force, acting either with or against the flow direction, has attracted researchers worldwide to explore the further impacts of physical mechanisms on the Riga plate, both in its stationary state and when moving with the flow. However, the high nonlinearity of the governing equations necessitates numerical simulations for the latter configuration. This often leads to scholars neglecting the magnetization of the permanent magnets, which essentially renders the actuator inactive, while code validation. To avoid this unrealistic scenario in future studies involving the Riga plate, it is essential to find easily accessible analytical solutions, even if their range of validity is limited. Therefore, this research paper presents exact fluid flow solutions and series heat solutions in terms of exponentially decaying functions. These simple solutions for the flow, temperature, drag, and heat transfer over moving or extendable Riga plates, in the presence of an active actuator, will help us understand the impacts of physical mechanisms and validate the accuracy of numerical techniques in future applications.