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Mathematical analysis of isothermal study of reverse roll coating using Micropolar fluid
Saquib Ul Zaman1, Azad Hussain2, Kaleem Ashraf2
1Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan. saqibzaman58@gmail.com.
Scientific Reports
|August 24, 2024
Summary
This study presents a mathematical model for micropolar fluid flow in reverse roll coating, crucial for understanding complex fluids like polymer solutions. The analysis provides insights into how fluid microstructure and microrotation affect coating dynamics.
Area of Science:
- Fluid Dynamics
- Rheology
- Materials Science
Background:
- Micropolar fluids possess microstructure and microrotation, essential for modeling complex fluids.
- Accurate modeling is vital for applications involving polymer solutions, biological fluids, and colloidal suspensions.
Purpose of the Study:
- To develop a mathematical model for micropolar fluid behavior in reverse roll coating.
- To theoretically analyze the influence of micropolar and microrotation parameters on fluid dynamics.
Main Methods:
- Formulation of flow equations based on fundamental fluid dynamics principles.
- Modification of equations using low Reynolds number theory.
- Analytical solution for velocity and pressure gradient, with numerical integration for pressure using Simpson's Rule.
Main Results:
- Exact analytical expressions derived for velocity and pressure gradient.
- Numerical calculation of pressure distribution.
- Graphical analysis illustrating the impact of micropolar and microrotation parameters on flow behavior.
Conclusions:
- The study provides a comprehensive theoretical framework for micropolar fluid flow in reverse roll coating.
- Key insights into the role of microstructure and microrotation on coating performance are established.
- The findings are applicable to optimizing processes involving complex fluids.
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