7. Two faces of a slab are maintained at two different temperatures, T1 T2. All other faces are perfectly insulated, so

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7 Two Faces Of A Slab Are Maintained At Two Different Temperatures T1 T2 All Other Faces Are Perfectly Insulated So 1 (62.22 KiB) Viewed 48 times

7. Two faces of a slab are maintained at two different temperatures, T1 T2. All other faces are perfectly insulated, so heat can flow only along x-direction. Temperatures are measured at five different locations along the width, L, of the slab, as shown in the table. Also, heat flux, Q/A, is measured at ten instants of time. T T₁ 11 T(x) LI T₂ X X (mm) 0 40.64 81.28 121.92 162.56 T (°C) 25.97 25.27 24.57 23.86 23.06 t (ms) 10 20 30 40 50 60 70 80 90 100 + Q/A (W/m²) 7144.63 7124.84 7149.84 7126.27 7151.73 7131.91 7150.29 7129.85 7122.26 7153.09 a) Perform a linear regression of T on x. b) Calculate the best estimate and uncertainty of heat flux measurement. Report measured heat flux as an interval estimate with the associated confidence level. c) Use Fourier's law to calculate thermal conductivity of the slab material in the units of Make sure to report it as an interval estimate with the associated confidence W m²K level. d) From your calculated result, how can you determine the material of the slab? What is the slab material? Make sure to include reference to the data and the data source¹ you used.