a)b) You want to know the temperature of the receiver after 8 hours of night time have passed (in the conditions described in the previous question). What technique would you use to determine this temperature? General lumped capacitance or 1-D transient analysis? Why? Assume the sun has now set and it is night time. Under these conditions, assume there is nosignificant source of irradiation to the receiver (G, ≈ 0). Also assume that the molten salt inside ofthe receiver is very well stirred and mixed and that there is no change in air temperature orconvective heat transfer coefficient at night in the desert in the summer. The receiver is stillproducing electricity at night from the stored thermal energy in the molten salts acquired during theday time. Because conditions have changed, the receiver is now no longer at steady-state. Assumethat the molten salts have a density of 1500 kg/m³, specific heat capacity of 1300 J/kgK, andthermal conductivity of 0.45 W/mK (taken from this source and this source on properties ofnitrate molten salts). What is the energy balance that now describes the receiver?dT,mc- =medT,dtO dT,me=-A,EOT - A-domu + gelec= -EOTIconv gelec-A,EOT - A-domu gelecdT,-mc- = -A,EOT - Arome gelecde Solar power towers (also called 'central tower' power plants or 'heliostat' power plants), allow solarirradiation to be concentrated into a single receiver by a series of reflectors (mirrors) to maximize theamount of heat flux being used to make clean, renewable energy. Here's the Ivanpah Solar PowerFacility pictured below (https://en.wikipedia.org/wiki/Ivanpah Solar Power Facility B). It is locatedin the Mojave desert by the border of California and Nevada, where irradiation from sunlight is highdue to lack of cloud cover and interference from moisture in the air.In this problem, we'll study a simplified solar power plant model to understand how the properties ofthermal radiation affect its ability to take in and use energy from the sun.Let's assume that the solar reflectors provide G = 80,000 W/m² of solar heat flux to thereceiver (white glowing cylinder at the top of the tower).(Keep in mind that solar irradiation onto the Earth's surface is typically around 1400W/m². The reflectors are what canincrease this typical heat flux by "bouncing "/reflecting and concentrating this solar flux into the receiver. This is what makes thisa much higher concentration of solar power than something like a solar panel would see from the sun alone. The downside isthat the high magnitude of solar radiation power all being localized in this tower can be deadly for both people and wildlife ifthey get in the way of the concentrators - another reason to put these deep in the middle of the desert. This assignment will helpus see just how much power that is!)For now, assume that the receiver at the top of the tower has a steady-state temperature ofT, = 800 K. Not only is the receiver exposed to solar irradiation from the reflectors, but it also isexposed to surrounding air. Assume that the air is at an average temperature of T∞ = 300 K witha convective heat transfer coefficient of 7 W/m² K due to natural convection (no wind).The outer surface of the receiver can be treated as diffuse and opaque. The spectral absorptivity ofthe coating at the surface of the receiver is given in the figure below:0.9az0.2λ (μm)3Assume that we'll be studying just the receiver at the top of the tower, which can be modeled as avery large cylinder with a diameter of 7m and a height of 12 m. Only the sides of the cylinder areexposed to the air/solar radiation, as the top/bottom have other equipment and mounting structureattached to them. This exposed surface area is represented as A,.

Given Data: Receiver Solar radiation Gs=80000 W/m2 Receiver Steady state Temperature Tr=800 K…

Assume the sun has now set and it is night time. Under these conditions, assume there is no significant source of irradiation to the receiver (G, 0). Also assume that the molten salt inside of the receiver is very well stirred and mixed and that there is no change in air temperature or convective heat transfer coefficient at night in the desert in the summer. The receiver is still producing electricity at night from the stored thermal energy in the molten salts acquired during the day time. Because conditions have changed, the receiver is now no longer at steady-state. Assume that the molten salts have a density of 1500 kg/m³, specific heat capacity of 1300 J/kgK, and thermal conductivity of 0.45 W/mK (taken from this source and this source on properties of nitrate molten salts). What is the energy balance that now describes the receiver? O O dT, mc --A,coT-A,domu + gelec me me dT, dt dT, dt =-EOT; - goome - Gelec -A,EOT - A-domu gelec dT, -mc- cd=- A,coT$ — Arqoomu - gelec de

Assume the sun has now set and it is night time. Under these conditions, assume there is no significant source of irradiation to the receiver (G, 0). Also assume that the molten salt inside of the receiver is very well stirred and mixed and that there is no change in air temperature or convective heat transfer coefficient at night in the desert in the summer. The receiver is still producing electricity at night from the stored thermal energy in the molten salts acquired during the day time. Because conditions have changed, the receiver is now no longer at steady-state. Assume that the molten salts have a density of 1500 kg/m³, specific heat capacity of 1300 J/kgK, and thermal conductivity of 0.45 W/mK (taken from this source and this source on properties of nitrate molten salts). What is the energy balance that now describes the receiver? O O dT, mc --A,coT-A,domu + gelec me me dT, dt dT, dt =-EOT; - goome - Gelec -A,EOT - A-domu gelec dT, -mc- cd=- A,coT$ — Arqoomu - gelec de

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.20P

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