Experimental and theoretical study of magnetohydrodynamic ship models

Area of Science:

• Physics
• Fluid Dynamics
• Electromagnetism

Background:

• Magnetohydrodynamic (MHD) propulsion is a key application of the Lorentz force in fluids, often demonstrated in student experiments.
• Existing literature lacks a comprehensive comparison between theoretical models and small-scale experimental results for MHD ships.

Purpose of the Study:

• To provide a self-consistent theoretical framework and experimental data for small-scale MHD ships.
• To validate theoretical steps, including Tafel and Kohlrausch laws, and predicted ship speeds against experimental measurements.
• To deduce an optimal design for MHD ships based on theoretical and experimental findings.

Main Methods:

• Adapting existing theoretical equations for small, battery/magnet-powered MHD ships operating in saltwater.
• Conducting experimental measurements to benchmark against theoretical predictions.
• Comparing theoretical results with experimental data to validate fundamental principles and performance.

Main Results:

• A successful agreement was achieved between theoretical predictions and experimental measurements without adjustable parameters.
• Validation of theoretical steps, such as Tafel and Kohlrausch laws, and ship speed predictions.
• Identification of approximations and their impact on MHD ship efficiency.

Conclusions:

• This work establishes a robust theoretical and experimental foundation for small-scale MHD ships.
• The presented theory is adaptable to various contexts, including large-scale ships and industrial flow measurement.
• The findings pave the way for optimized MHD ship design and broader applications of MHD principles.