3. Numerical values of the temperature (OC) are shown at the grid nodes (uniform

Question

3. Numerical values of the temperature (OC) are shown at the grid nodes (uniform grid, distance between nodes l mm) from the output of a computer simulation for steady state convection from a solid plate (with uniform heat generation only restricted to the gray area) immersed in water assume properties from problem 2) at an ambient of 25.5 C Node T (OC) Solid 76.5 Water Plate 75.5 70.5 1 A 2 3 4 5 6 7 8 66 62 60 (a) Estimate the value for the local heat transfer coefficient at point A. (b) Estimate the value of the thermal conductivity of the plate. (c) If TB- 80 °C is the flow likely to be upwards or downwards? Explain in a couple of sentences

Explanation / Answer

1) taking local equilibrium at the boundary, kdT/dx = -h ( Tw-Tamb)

k is 0.6 W/mK, dT/dx = (Node A- Node 2) =5, ( Tw-Tamb) = 50

k*5=h*50 ==> h = 0.1 W/m2K

2) using similar balance, K plate dT/dx = Kwater dT/dx

Kplate = Kwater DT w/ DTp    =0.6 * 5/1 =3 W/mK

3) all other qties same?

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