1. CONDUCTION HEAT TRANSFER IN A MASS SPECTROMETER FILAMENT Conduction Heat Transfer MEAE-6630 Angela Mangio

2. CONDUCTION HEAT TRANSFER Heavy Ions Ion Detector Light Ions Ionization Area Acceleration Area Sample Inlet

3. CONDUCTION HEAT TRANSFER PROBLEM STATEMENT –To determine the heat generated at the filament to ensure proper material selection of the internal mass spectrometer component. –To determine the time required for the filament to achieve steady state conditions at the two specified current settings

4. CONDUCTION HEAT TRANSFER Methodology –Steady-state Straightforward solution of mathematical formulation –Transient Numerical Methods –Finite Differencing –Implicit Approach

5. CONDUCTION HEAT TRANSFER Low Current Setting –Mesh spacing  r = 7.94 x10 -3 m  t = 0.08 seconds –Transients converged after 5.3 minutes Within 0.39% of steady-state Center Temperature =23.1006  C Surface Temperature =23.1005  C

6. CONDUCTION HEAT TRANSFER High Current Setting –Mesh spacing  r = 2.74 x10 -3 m  t = 0.1 seconds –Transients converged after 6.3 minutes Within 0.06% of steady-state Center Temperature =211.443  C Surface Temperature =211.433  C

7. CONDUCTION HEAT TRANSFER Conclusions –Transient Temperatures Profiles Corresponding to the 2 Current Settings Determined –Steady-State Temperatures Calculated –Time to Achieve Steady-State Conditions Identified