I need help solving this deliverable for a lab report I have: Calculate and report the convective heat transfer coefficients for each rod position. Moreover, discuss the underlying physics that causes differences (from location to location) of convective heat transfer coefficient.

This is the equation I'm supposed to use

\fRod Position h -] [W/{m*2 K)| 1 138.001248 2 142.38224 3 130096496 b 1HO. F1592 7 184.001664 10 213.57336 11 216.5305296 12 220.144B48 15 224.52584 16 222.7734432 rahle 1. Heat transfes coefficient for position The values of the convective heat transfer coefficients, h, are listed in Table 1 above. The values of h were calculated by plotting the value of the natural log of the left hand side of equation 1 below against time. To find h, the slope of the line of best fit for the data mentioned was multiplied by the density and specific heat of copper, then divided by negative four. This was derived from the equation below: Here, T is the final temperature of the rod, T., is the ambient air temperature, T, is the initial temperature of the rod, p..,,.. is the density of copper, C, ... is the specific heat of copper and D, is the rod diameter. Equation 1 was manipulated in order to solve for h. Density of Copper: 8830 (Kg/m*3) Length of Rod: 4 (in) Diameter of Rod: 0.5 (in) -> 0.0127 m Cp for copper: 390 (J/Kg/K) Duct inlet area: 12 cm x 12 cm Gravity (g): 9.81 (m/s*2) Denisty of Water: 1000 (kg/m*3) Density of Air: 1.225 (Kg/m*3) Cp_air: 1000 (J/Kg/K) T_s [C] 140 T_in [C] 20 Qdot Total (W) 3750