Chapter 3: Problem 3
What is the difference between microscopic and macroscopic balances? For which situations in general do you use each of both approaches?
Chapter 3: Problem 3
What is the difference between microscopic and macroscopic balances? For which situations in general do you use each of both approaches?
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Get started for freePower company "E" in the Netherlands operates a fluidized bed combustion-based boiler with wood residues as fuel. The plant contains a simple steam turbine. The steam conditions at the inlet of the turbine are \(525^{\circ} \mathrm{C}\) and 100 bar. Assume that condensation of the steam takes place at a temperature of \(20^{\circ} \mathrm{C}\) and that isentropic expansion of steam occurs in the turbine. a. What is the specific power \(\left(\mathrm{kJ} \cdot \mathrm{kg}^{-1}\right)\) of the turbine expansion process? b. If the power plant generates \(25 \mathrm{MW}_{\mathrm{e}}\) and water pump work can be neglected, what is the mass flow rate of steam through the turbine? c. What assumptions have you made for these calculations?
The cavitation number is defined as \(C a=\frac{p-p_{\text {vap }}}{(1 / 2) \rho \mathrm{v}^{2}}\). Now, for ethanol produced by sugar fermentation, a company has installed a pump for the transport of the liquid product, which is assumed to be pure. The ambient pressure is \(1020 \mathrm{hPa}\) and the pump is situated \(1 \mathrm{~m}\) below a vessel from which the product is pumped through a duct of \(10 \mathrm{~cm}\) diameter with a mass flow rate of \(25 \mathrm{t} \cdot \mathrm{h}^{-1}\). The temperature at the pump suction side is \(20^{\circ} \mathrm{C}\). At this temperature, the vapor pressure is \(5.7 \times 10^{3} \mathrm{~Pa}\). The density of ethanol is 789 \(\mathrm{kg} \cdot \mathrm{m}^{-3}\). What is the background of cavitation? Does it occur in this situation? Which assumption(s) have you made? When will there be a possibility for this phenomenon to occur?
What is the difference between an open system and a closed system?
Bio-oil flows through a duct with a radius of \(2.5 \mathrm{~cm}\) at ambient temperature with a velocity \(\left(\mathrm{v}_{1}\right)\) of \(10 \mathrm{~m} \cdot \mathrm{s}^{-1}\); the duct is followed by a permeable wall part with suction. At the end of this section (with the same radius), the velocity \(\left(\mathrm{v}_{2}\right)\) has dropped to \(8 \mathrm{~m} \cdot \mathrm{s}^{-1}\). If \(p_{1}=140 \mathrm{kPa}\), estimate \(p_{2}\) for the case that wall friction is negligible. What happens to \(p_{2}\) in the case of significant friction?
In the energy balance, the change in potential energy is usually based on the gravity field; which other fields might be relevant as well and which terms would then appear?
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