A nuclear reactor has rectangular flow channels with a large aspect ratio (w/h)>>1

Heat generation is equal from the upper and lower surface and uniform at any value of x. However, the rate varies along the flow path of the sodium coolant according toq'' (x) = qo'' sin(πx/L)Assuming that entrance effects are negligible so that the convection heat transfer coefficient is uniform(a) Obtain an expression for the variation of the mean temperature of the sodium, Tm (x).(b) Derive a relation for the surface temperature of the upper and lower portion of the channel, Ts (x).(c) Determine the distance xmax at which Ts(x) is maximum.GIVENSodium flow through a rectangular flow channel with a large aspect ratioHeat generation from each surface (upper and lower): q''(x) = q''o sin(πx/L)ASSUMPTIONSEntrance effects are negligibleThe convective heat transfer coefficient is uniformSteady state

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