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Fluid Dynamics and Heat Transfer in a Hartmann Flow. RPI Master’s Project Update Timothy DePuy – 11/15/2010. Magnetohydrodynamics Applications. Hartmann flow is a specific type of flow in the field of Magnetohydrodynamics Specific Applications Propulsion
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Fluid Dynamics and Heat Transfer in a Hartmann Flow RPI Master’s Project Update Timothy DePuy– 11/15/2010
Magnetohydrodynamics Applications • Hartmann flow is a specific type of flow in the field of Magnetohydrodynamics Specific Applications • Propulsion • Plasma confinement (fusion reactors) • Liquid Metal Pumping/Breaking/Mixing • Fission (sodium reactors) • Metallurgy • Microfluidic Pumping
Hartmann flow 2h Pi y Po x • Hartmann flow is the flow of a conductive liquid in between two parallel plates exposed to a transverse magnetic field • The plates are infinite in the x and z directions • A Lorentz force can be calculated as a result of the flow through the magnetic and electric fields B E
Analysis Using ComsolMultiphysics • ComsolMultiphysics Modeling software will be used to determine the magnetic, hydrodynamic, and heat transfer solutions for the Hartmann Flow • Obtain Lorentz Force from solution to Maxwell Equations • Input Lorentz Force into incompressible steady state fluid flow solver • Input flow solution into heat transfer solver
Fluid flow solution matches analytic solution In order to provide a “fair” assessment of the heat transfer rates, different pressures were used to obtain flow profiles with the same volumetric flow rate
As expected, the heat transfer rate is increased with higher M • Solution evaluated at x = 1 meter with a uniform temperature inlet (1073.15K) and a constant wall temperature (873.15K)