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Modeling and numerical simulation of micropolar fluid over a curved surface: Keller box method
Tayyaba Shabbir1, M Mushtaq1, M Ijaz Khan1
1Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad, Islamabad 44000, Pakistan.
Computer Methods and Programs in Biomedicine
|December 3, 2019
Summary
This study investigates micropolar fluid flow over a curved surface with heat transfer under MHD effects. Results show how parameters like magnetic field and curvature influence velocity, temperature, and microrotation.
Area of Science:
- Fluid Dynamics
- Heat Transfer
- Magnetohydrodynamics (MHD)
Background:
- Examines micropolar liquid flow over a curved surface with prescribed surface temperature.
- Investigates heat transfer mechanisms in magnetohydrodynamic (MHD) fluid flow.
- Utilizes curvilinear coordinates and similarity variables for mathematical formulation.
Purpose of the Study:
- To analyze the flow behavior and heat transfer characteristics of micropolar fluid over a curved surface.
- To investigate the impact of various parameters, including MHD effects, on fluid dynamics and thermal transport.
Main Methods:
- Governing equations for momentum and heat transfer are transformed using similarity variables.
- Non-linear ordinary differential equations (ODEs) are solved numerically using the Keller box and shooting methods.
Main Results:
- Presents numerical results for temperature and velocity fields against key parameters and non-dimensional numbers.
- Analyzes skin friction (drag force) and Nusselt number (heat transfer rate) variations.
- Provides physical explanations for fluid flow and heat transport phenomena.
Conclusions:
- Highlights the influence of flow variables on skin friction, velocity, Nusselt number, and temperature.
- Velocity decreases with magnetic parameter, power law index, and radius of curvature, but increases with material parameter.
- Temperature increases with magnetic parameter, radius of curvature, and Eckert number, while decreasing with material parameter and Prandtl number.
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