1. Fluid Dynamics and Heat Transfer in a Hartmann Flow RPI Master’s Project Update Timothy DePuy – 11/15/2010

2. 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

3. Hartmann flow 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 x y 2h Pi Po B E

4. Analysis Using Comsol Multiphysics Comsol Multiphysics Modeling software will be used to determine the magnetic, hydrodynamic, and heat transfer solutions for the Hartmann Flow 1.Obtain Lorentz Force from solution to Maxwell Equations 2.Input Lorentz Force into incompressible steady state fluid flow solver 3.Input flow solution into heat transfer solver

5. Lorentz force solution matches analytic solution

6. Normalized fluid flow shows greater flow near the walls

7. 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

8. 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)