Question

Preliminary Questions: 1. An iron pan is used to fry a cylindrical piece of meat (mass = 0.12 kg, 1.5 cm thickness and 10.0 cm diameter). The initial temperature of the meat is 5.0°C. The temperature of the pan is heated to a constant temperature of 350.0 °F. The thermal conductivity of the meat is 0.40 W/(mK) and the emissivity of the meat is 0.900. The specific heat capacity of the meat is 3500J/kg K. i. After the meat is placed on the pan, the Troom= 70.0°F temperature of the contacting surface is raised to a 10.0cm constant temperature of 100.0°C and eventually opposite face of the meat reaches 25.0°C. Assuming it is steady-state thermal conduction, calculate the rate of conductive heat flow through 1.5cm|| the meat. meat Tpan=350.0°F ii. Estimate the net heat absorbed by the meat. Note: The "final" temperature of the meat is halfway between the temperatures on the bottom and top, respectively. iii. Determine the net rate of radiative heat transfer by the upper surface of the meat when the upper surface is 25°C.

I missed this lecture day and have no reference to what formulas I should be using. Any formulas shown would be greatly appreciated!

Answer 1

Sol" - mass of meat, mz 0.12 kg. thickness of meat, l=1. 5con diameter of meat, d=10cm. Thermal Conductivity of meet 118, K = 0.4 W/(m. k). Emissivity of the meat, e= 0.9. Specific heat copacity of meat, C = 3500 J/kg.k. (1) Temperature of Contacting surface, T, 180°C. Teroperature of upper surface, I = 25°C. So rate of Conductive heat flow through meat (49)- Tkd? (1,-1) = TTX 0.4 (0.19% (100-28) 7 4x1.5x102 om (42) = 5-235987756 J/sec (1) Net heat absorbed by the meat is; AQ = meets-T.) where Tg = (Tit T2) or, 4Q= 0.1243500 (62.5-5) or If = 62.506 or AQ = 24150 Joule Taz5°C. (is) upper surface temperature, T=25°C so radiative heat transfer by i on 7 298 k' be heat transfer by upper Surface; (A) = eo food ) 44 Where is stefan- m 14 )= 0.9*5.6703x10*x+1x (oU*x (29834 on () = 3.160847069' Jisee boltzmann Constant.