Recent research published in ‘AIMS Mathematics’ has delved into the complex dynamics of fluid flow between two parallel plates, focusing on a type of fluid known as couple stress fluid. Conducted by Geetika Saini from the Department of Mathematics at REVA University in Bengaluru, Karnataka, the study examines how factors like variable viscosity and magnetic fields influence heat transfer and flow characteristics in these systems.
In this study, Saini and her team analyzed the behavior of the couple stress fluid under the influence of a uniform transverse magnetic field and irreversible heat transfer. The research is particularly relevant as it explores how gravity and constant pressure gradients drive fluid movement between fixed, isothermal plates. By employing analytical methods, the researchers were able to derive equations for both velocity and temperature fields, providing a clearer understanding of how these variables interact in real-world scenarios.
One of the key findings of the research is that increasing the couple stress parameter and the viscosity variation parameter enhances the velocity, temperature, and total rate of heat flow across the channel. Conversely, the study reveals that increasing the Hartmann number, which is a dimensionless quantity representing the magnetic force relative to the viscous force, tends to reduce these parameters. This insight could have significant implications for industries that rely on fluid dynamics, such as manufacturing, energy production, and materials processing.
The commercial impact of this research is particularly noteworthy for sectors involved in thermal management and fluid transport systems. For instance, industries that require efficient heat exchangers or cooling systems could benefit from understanding how to optimize fluid properties to enhance performance. Additionally, the findings may aid in the design of more efficient magnetic field applications in various engineering processes, potentially leading to reduced energy consumption and improved system reliability.
As Saini states, “The results illustrate the intricate relationship between fluid properties and external forces, which can be harnessed to optimize industrial processes.” This research not only contributes to the academic understanding of couple stress fluids but also opens up avenues for practical applications in technology and engineering.
Overall, the study published in ‘AIMS Mathematics’ highlights the importance of fluid dynamics in various sectors and underscores the potential for innovations that could arise from a deeper understanding of these principles.
