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MHD Flow of the Micropolar Fluid between Eccentrically Rotating Disks
1Department of Mathematics, Amrita Vishwa Vidyapeetham (Deemed University), Bangalore 560035, India.
International Scholarly Research Notices
|June 30, 2016
Summary
This study analyzes magnetohydrodynamic flow of micropolar fluids between eccentric disks. Exact solutions reveal flow characteristics influenced by Reynolds and Hartmann numbers for weak and strong interactions.
Area of Science:
- Fluid dynamics
- Magnetohydrodynamics
- Non-Newtonian fluids
Background:
- Micropolar fluids exhibit unique micro-rotational effects.
- Magnetohydrodynamics (MHD) describes fluid motion in magnetic fields.
- Eccentric disk configurations present complex flow geometries.
Purpose of the Study:
- To investigate the magnetohydrodynamic flow of an incompressible micropolar fluid.
- To analyze fluid behavior between two eccentrically placed disks.
- To understand the influence of Reynolds and Hartmann numbers on flow characteristics.
Main Methods:
- Reduction of partial differential equations to ordinary differential equations using transformations.
- Derivation of an exact analytical solution for the flow.
- Graphical analysis of flow characteristics.
Main Results:
- An exact solution for the micropolar fluid flow was obtained.
- Flow characteristics were analyzed for varying Reynolds and Hartmann numbers.
- Behavior under weak and strong interaction conditions was investigated.
Conclusions:
- The study provides an exact solution for a complex MHD micropolar flow problem.
- Graphical analysis elucidates the impact of key dimensionless parameters.
- Findings are relevant for understanding non-Newtonian fluid dynamics in MHD systems.
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