Establish a heat transfer model for heat leakage estimation of a liquid-nitrogen tank. The tank is a double-layer cylinder, with a vacuum gap between layers, and a top-end insulation plug. The only possible heat transfer over the vacuum gap is by thermal radiation. For the inner-layer, the heat conductivity is proportional to local temperature. Assuming all geometric and properties are given. Convective heat transfers are also known.

Respuesta :

Answer:

Q = [tex]\frac{T1 - T2}{R}[/tex]

Explanation:

First, a steady state heat transfer system needs to be drawn. After that, some assumptions need to be made in order for the model to be feasible:

1. Stead state heat transfer.

2. The heat transfer takes place in a one-dimensional symmetry about the midpoint of the sphere.

3. The combined heat transfer coefficient is constant and uniform.

4. The process is isothermal, there is no change in temperature: convection and internal resistance can be ignored.

Change in heat = heat in - heat out + heat generated - heat of reaction

Nitrogen is inert, so heat of reaction is zero.

Q = mh (where h is the heat of evaporation)

Q = [tex]\frac{T1 - T2}{R}[/tex]