Sodium Pumping via Condensation within a Non-Wetting Porous Structure
In a sodium thermal electrochemical converter (Na-TEC), the transfer of liquid sodium from a low-pressure condenser to a high-pressure evaporator is necessary to complete the thermodynamic cycle. This pumping can be typically achieved via capillary action. A unique capillary pump is explored in this work, whereby low-pressure sodium vapor is condensed within a non-wetting (i.e. contact angle > π/2) stainless steel porous structure. Due to the curvature of the non-wetting liquid-vapor interface, the liquid adjacent to the interface is at a higher pressure than the vapor. This is in contrast to traditional wicks, where the liquid adjacent to the interface has a lower pressure. Conjugate heat transfer techniques are required to model the coupled momentum and thermal transport processes within this porous structure. Due to the low mass flowrates in the Na-TEC (< 0.1 mg/s), higher order friction terms are neglected and the classical Darcy’s law is applied for the non-isothermal, compressible vapor flow. At lower temperatures, the sodium vapor density becomes sufficiently small and there is a transition from classic Poiseuille flow (Kn < 0.1) to Knudsen flow (Kn > 10). The permeability of the porous structure is modeled using the Blaze-Kozeny expression, with an additional factor that accounts for this change in Kn. Initial modeling results showing expected mass flowrates, temperature profiles, and liquid-vapor interface locations are presented. The design of an experiment to validate the results from this modeling effort is also described. The main design features of the experimental set-up are presented, and the method used to measure the low sodium mass flowrates is discussed. Initial experimental results demonstrating sodium pumping for a range of temperatures (850K – 1150K) will be presented and compared against the model predictions. A number of challenges affecting the successful completion of this experiment will also be discussed. Primarily, the sodium vapor must be superheated to prevent condensation anywhere except within the porous structure. Other challenges include the requirement to keep the condensation interface above ~ 675K to prevent transition to a wetting regime, and the control of the transient heating rate so that vapor flows slower than the quasi steady-state mass flowrate, which would otherwise lead to a flooding condition that prevents pumping. Specific strategies used to address these challenges are presented, and the experimental procedures used to gather data are discussed.