Related Experiment Video
Updated: Jun 15, 2025

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
Published on: April 19, 2018
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.
None:
This article demonstrates a mathematical model and theoretical analysis of the Micropolar fluid in the reverse roll coating process. It is important because micropolar fluids account for the microstructure and microrotation of particles within the fluid. These characteristics are significant for accurately describing the behavior of complex fluids such as polymer solutions, biological fluids, and colloidal suspensions. First, we modeled the flow equations using basic laws of fluid dynamics. The flow equations are made modified using low Reynolds number theory. The simplified equations are solved analytically. The exact expression for velocity and pressure gradient are obtained, while pressure is calculated numerically using Simpson Rule. Graphical depictions are carried out to comprehend the impact of the newly emerged physical constraints. The influence of micropolar and microrotation parameters on the velocity, pressure and pressure gradient are elaborated with the help of different graphs.
Related Concept Videos
Steady, Laminar Flow in Circular Tubes
Couette Flow
Steady, Laminar Flow Between Parallel Plates
Equation of Motion: General Plane motion - Problem Solving
The friction between the roller and the ground is characterized by two coefficients. The static friction coefficient is 0.15, while the kinetic friction coefficient is 0.1. These values are crucial in understanding the interaction between...
The Buckingham Pi Theorem
Fluid Pressure over Flat Plate of Variable Width
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...

