Consider the geometry of Problem 2.14 for the case where the thermal conductivity varies with temperature as k = k_o + aT, where k_o = 10W/m · K, a= –10^–3 W/m · K², and T is in kelvins. The gradient at surface B is ∂T/∂x = 30 K/m. What is ∂ T/∂ y at surface A?

Data From Problem 2.14

In the two-dimensional body illustrated, the gradient at surface A is found to be ∂T/∂y = 30 K/m. What are ∂T/∂y and ∂T/∂x at surface B?

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Insulation 2 m- 1m -B, TB = 100°C k = 10 W/m.K y X – ΤΑ A, TA = 0°C