If a temperature profile in a solid flat plate is given as T(x) = -190 x³ + 40 x² +100 °C. The thermal conductivity of the plate is 5 W/m.K. Determine (a) Temperature at x = 2 cm; (b) Determine heat flux, q", at x = 2 cm; and (c) Determine the location of the maximum/minimum heat flux.
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- A certain material has a thickness of 30 cm and a thermal conductivity of 0.04 W/m- °C. At a particular instant in time, the temperature distribution with x, the distance from the left face, is T = 150x ^ 2 - 30x , where x is in meters. Calculate the heat-flow rates atx x = 0 and x = 30 cm . Is the solid heating up or cooling down?Consider a plate whose thickness is 2L=20 cm and thermal conductivity is 44 W/mK. Heat generation inside the plate (5x105 W/m³) is uniform. The surface of the plate is maintained at Ts=10°C. Find the temperature at the center of plate. T Ts -L L X O a. 45 °C ОБ.75 °С О с. 67 оС O d. 90 °C O e. 85 °C1. Temperatures are measured at the left-hand face and at a point 4 cm from the left-hand face of the planar wall shown in the figure below. These temperatures are T₁ = 45.3 °C and T* = 21.2 °C. The heat flow through the planar wall is steady and one dimensional. What is the value of T2 at the right-hand surface of the wall? TI T* 4 cm 10 cm T2