Liquid whole egg (LWE) is being thermally processed in a combined sterilant/stea

Question

Liquid whole egg (LWE) is being thermally processed in a combined sterilant/steam injection system as shown below. The process is carried out as follows: A hydrogen peroxide/steam mixture is injected into the LWE stream. The II202 serves to sterilize the product and the steam heats it rapidly. Naturally, all of the steam condenses, and the product becomes watery. The final step, therefore, is treatment in a flash tank (essentially a vacuum chamber), where all of the H202 and some of the added water are removed. For a mixture of two fluids, we can estimate the density as follows: rho mixture = (m1 rho1 + m2rho2) / mtotal What is the velocity (m/s) of the product after exiting the flash tank on its way to the filler?

Explanation / Answer

Total input rate=1200*5.2*pi*(0.0175/2)^2+0.3=1.801kg/s

Output rate of processed LWE stream=input rate-vapor output rate=1.801-0.18kg/s=1.62kg/s

Out of this 0.12 kg/s is water since 0.30kg/s of steam and H2O2 came in while the completeH2O2 and some of the water left.

density of this stream=(1200*1.5+1000*0.12)/1.62=1185.2kg/m^3

u=Flow rate/(density*pi*r^2)=1.62/(1185.2*pi*(0.0175/2)^2)=5.68m/s

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