Use the finite-element method of FEHT to analyze a symmetrical half-section of the gage and the quartz substrate. Assume that the lower and end surfaces of the substrate are perfectly insulated while the upper surface experiences convection with the fluid.
(a) Determine the temperature distribution and the conduction heat rate into the region below the hot film for the three values of h. Calculate the fractions of electric power dissipation represented by these rates. Him: Use the View/Heat Flow command to find the heat rate across the boundary elements.
(b) Use the View/Temperature Contours command to view the isotherms and heat flow patterns. Describe the heat flow paths and comment on features of the gage design that influence the paths. What limitations on applicability of the gage have been revealed by your analysis?