Determine values of DT for aluminum, steel, aluminum oxide, soda–lime glass, polystyrene, and nylon 6,6 using the data in Table 19.1.

Nonsteady-state heat flow may be described by the following partial differential equation:

 

 

where Dis the thermal diffusivity; this expression is the thermal equivalent of Fick’s second law of diffusion . The thermal diffusivity is defined according to

 

 

In this expression, k, , and cp represent the thermal conductivity, the mass density, and the specific heat at constant pressure, respectively.

(a) What are the SI units for DT?

(b) Determine values of DT for aluminum, steel, aluminum oxide, soda–lime glass, polystyrene, and nylon 6,6 using the data in Table 19.1.

 

 

where Dis the thermal diffusivity; this expression is the thermal equivalent of Fick’s second law of diffusion . The thermal diffusivity is defined according to

 

 

In this expression, k, , and cp represent the thermal conductivity, the mass density, and the specific heat at constant pressure, respectively.

(a) What are the SI units for DT?

(b) Determine values of DT for aluminum, steel, aluminum oxide, soda–lime glass, polystyrene, and nylon 6,6 using the data in Table 19.1.

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erive the differential equations in terms of the liquid heights h1 and h2.

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