An electrical heating element consists of a heating element, embedded in a solid casing as shown in Figure 1 . The heate
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An electrical heating element consists of a heating element, embedded in a solid casing as shown in Figure 1 . The heate
An electrical heating element consists of a heating element, embedded in a solid casing as shown in Figure 1 . The heater is immersed in a fluid maintained at 90∘C, and the rate of heat generation in the heater is 0.8MW/m3. The thermal conductivities of the heater and surrounding solid are k=0.5 W/m.K and kss=1 W/m.K, respectively. (a) Determine the heat transfer coefficient necessary to keep the maximum temperature of the heater below 200∘C. An improved design allows the conductivity of the surrounding solid to be increase to 10 W/m.K. (b) If the maximum allowable temperature in the heater stays unchanged, determine the maximum permissible percentage increase in the volumetric heat generation rate. You may assume the convective heat transfer coefficient is unchanged. (15 Total Marks) Figure.1. Fluid heater design
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