CHEN 3102 Lecture Notes - Lecture 48: Packed Bed, Thermal Diffusivity, Thermal Conductivity
10 May 2015
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Consider a bed of spheres in a reactor btwn 2 walls w/ gas flowing downward through the bed. The gas enters at temperature t0, and is heated by teh reactor walls maintained at temperature, tw. The gas is heated such that there exists a temperature gradient vertically (z) and horizontally (x), t(x,z). Derive a governing equation for energy within the packed bed of spheres. Make the following assumptions: no reaction occurs, so there does not exist a generation term, the system is at steady state, so the accumulation term does not exist, assume conduction in the z direction is negligible. Determine the temperature distribution exiting the reactor, t(x,z = l) convection conduction heat convection in heat conduction out heat conduction in heat convection out. Bc: z = 0, for all x, t = t0, x = 0, for all z, t = tw, x = w, for all z, t = tw.
