The research presents a numerical investigation of the cross fluid flow over a rotating disk, incorporating the effects of Brownian motion, thermophoretic forces, and thermal radiation. The study aims to characterize the flow dynamics and heat transfer processes in the presence of these simultaneous phenomena.
The research uses a unique approach to model the flow behavior, incorporating the following factors:
1. Brownian motion: The motion of particles in the fluid caused by collisions with neighboring particles.
2. Thermophoretic forces: The forces acting on particles due to temperature gradients in the fluid.
3. Thermal radiation: The transfer of energy through electromagnetic radiation.
4. Rotation of the disk: The motion of the disk at a constant angular velocity.
The governing equations for the flow, temperature, and concentration are developed using the conservation laws of mass, momentum, energy, and species. The equations are then reduced to ordinary differential equations using similarity transformations.
The numerical solution is obtained using the MATLAB software, employing the built-in function BVP4C to discretize the problem. The solution is validated by comparing the results with existing literature.
The results show that the flow behavior and heat transfer processes are significantly affected by the simultaneous presence of Brownian motion, thermophoretic forces, and thermal radiation. The study highlights the importance of considering these factors to accurately model cross fluid flow over rotating disks.
The main findings of the study are:
1. The flow velocity and temperature profiles are significantly affected by the rotation of the disk and the thermophoretic forces.
2. The presence of Brownian motion and thermal radiation enhances the heat transfer rate and modifies the flow behavior.
3. The thermophoretic forces and thermal radiation have a significant impact on the particle distribution and flow behavior.
The study’s conclusions are relevant to various applications, including the design of heat exchangers, cooling systems, and nanotechnology-based processes.