Velocity DataTemperature DataSummary of ResultsFlat PlateReLNuLBi = hL/kTapered PlateReLNuLBi = hL/kME 252 Lab - Forced Convection Heat Transfer ExperimentObjective: to measure the average convection coefficient at the surface of 3D shapes from transient temperature measurements, shape dimensions, and knowledge of the solid properties. Specifically,- determine the average convection coefficient for the flat plate and tapered plate at three different velocities.Theory: The lumped capacitance method (LCM) can be used to relate the transient temperature response of an isolated 3D shape to its corresponding convection coefficient if the Biot number is sufficiently small, Bi << 1:where the terms are defined on pp. 242 in Fundamentals of Heat & Mass Transfer by Incropera & DeWitt (2002). The volume (V ) and surface area (As) of the specimens have been determined:Volume (m3) Surface Area (m2)Flat plate 1.007E-04 0.02090Tapered plate 7.815E-05 0.01911Apparatus and Instrumentation:The following items are available for performing this experiment:- Low-speed wind tunnel and 24”- 8” test section with guillotine valve flow control- Pitot tube- Micromanometer- Barometer- Compact solid aluminum shapes with mounting fixture (the aluminum is similar to Alloy 2024-T6; use property values given in Table A.1 in Incropera & DeWitt)- Heat gun- K-type thermocouple located at center of solid- T-type thermocouple for measuring freestream air temperature- Fluke Hydra Data Logger with PC and software, Vexp)(psictAhTTTtTVelocity Measurement with a Pitot Tube:The Pitot tube, when properly connected to a manometer or pressure transducer, measures the difference between the stagnation pressure and static pressure of a fluid flow (P). The velocity of the fluid at the static pressure tap, which is essentially the freestream velocity (V), can be determined from the Bernoulli equation:where  is the density of the flowing fluid, m is the density of the manometer liquid, andh is the total deflection of the manometer liquid level. The micromanometer fluid has aspecific gravity of 1.00 and the measured liquid level deflection must be multiplied by two to obtain the total deflection (h).Procedure:Velocity Data1. Measure the room atmospheric pressure using the mercury barometer.2. Position Pitot tube in wind tunnel; connect tubing to micromanometer.3. Measure zero velocity liquid level of micromanometer.4. Setup Fluke Hydra data logger and software to display freestream air temperature.5. Set wind tunnel guillotine valve to position 1 and turn on wind tunnel blower.6. Allow 30-60 seconds for flow to stabilize, then measure liquid level of micromanometer and record temperature of freestream air.7. Repeat steps 6-7 for positions 2 and 3.8. Turn off blower, lower Pitot tube to floor of tunnel, and disconnect tubing.Temperature Data1. Measure the thickness of each plate using the digital calipers; this will be the characteristic dimension (L).2. Attach aluminum flat plate shape to mounting device; adjust for level.3. Set wind tunnel guillotine valve one of the three positions.4. Setup Fluke Hydra data logger and software with an interval timing of 10 seconds; enable data recording to a user-specified file; select “Elapsed Time” for time tag and“Append to File” for data entry. 5. Start data logging and Quick Plot feature.6. Heat aluminum plate to about 80-90-C with heat gun; turn on blower and record data for about 4 minutes, yielding at least 25 data points beyond the temperature maximum.7. Stop data logging, then turn off blower.8. Repeat steps 4-6 for the two remaining valve positions.9. Remove flat plate and repeat steps 1-7 with the tapered plate. Download data to floppy disk. Note that all data will be contained in one file and each data set should start at t = 0.Results, 22hgPVmPlot the dimensionless temperature of the plate versus time for each test. The initial temperature (i.e., t=0) for each plot should be taken about 60 seconds after the maximum plate temperature. Then use the exponential curvefit function in Excel’s Trendline to determine the average thermal time constant for each data set (set y-intercept = 1.0). Include these graphs in your report, displaying the equation with at least three significant digits and correlation coefficient (R2-value). Determine the average convection coefficient from the average thermal time constant. Also calculate the velocity, Reynolds number, Nusselt number, and Biot number for each test and summarize in a table as shown below. Clearly present all data reduction with sample calculations. Be sure to show all material property evaluations. Summary of ResultsFlat PlateVelocity(m/s)ReLh (W/m2-K)NuLBi = hL/kTapered PlateVelocity(m/s)ReLh (W/m2-K)NuLBi = hL/kQuestions:1. Compare the convection coefficients for the flat plate with the tapered plate. Why are they different? Explain in terms of fluid mechanics. 2. Compare these results with those predicted from the Blasius solution for laminar flow over a flat plate. Explain any differences.3. How could you determine an empirical correlation, i.e.,  Pr,ReDDfNu , for each shape from the