Question

A solar thermal central receiver generates heat by using a field of mirrors to focus sunlight on a bank of tubes through which a coolant flows. Solar energy absorbed by the tubes is transferred to the coolant, which can then deliver useful heat to a load. Consider a receiver fabricated from multiple horizontal tubes in parallel. Each tube is $1-\mathrm{cm}-\mathrm{ID}$ and $1 \mathrm{~m}$ long. The coolant is molten salt that enters the tubes at $370^{\circ} \mathrm{C}$. Under start-up conditions, the salt flow is $10 \mathrm{gm} / \mathrm{s}$ in each tube and the net solar flux absorbed by the tubes is $10^4 \mathrm{~W} / \mathrm{m}^2$. The tube-wall will tolerate temperatures up to $600^{\circ} \mathrm{C}$. Will the tubes survive start-up? What is the salt outlet temperature? Figure Can't Copy

   A solar thermal central receiver generates heat by using a field of mirrors to focus sunlight on a bank of tubes through which a coolant flows. Solar energy absorbed by the tubes is transferred to the coolant, which can then deliver useful heat to a load. Consider a receiver fabricated from multiple horizontal tubes in parallel. Each tube is $1-\mathrm{cm}-\mathrm{ID}$ and $1 \mathrm{~m}$ long. The coolant is molten salt that enters the tubes at $370^{\circ} \mathrm{C}$. Under start-up conditions, the salt flow is $10 \mathrm{gm} / \mathrm{s}$ in each tube and the net solar flux absorbed by the tubes is $10^4 \mathrm{~W} / \mathrm{m}^2$. The tube-wall will tolerate temperatures up to $600^{\circ} \mathrm{C}$. Will the tubes survive start-up? What is the salt outlet temperature?
Figure Can't Copy
Show more…
Principles of Heat Transfer
Principles of Heat Transfer
Frank Kreith, Raj M.… 7th Edition
Chapter 6, Problem 30 ↓

Instant Answer

verified

Step 1

The area of each tube can be calculated using the formula for the surface area of a cylinder: \[ A = \pi D L \] where \(D\) is the inner diameter and \(L\) is the length of the tube. Given \(D = 1 \, \text{cm} = 0.01 \, \text{m}\) and \(L = 1 \,  Show more…

Show all steps

lock
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
A solar thermal central receiver generates heat by using a field of mirrors to focus sunlight on a bank of tubes through which a coolant flows. Solar energy absorbed by the tubes is transferred to the coolant, which can then deliver useful heat to a load. Consider a receiver fabricated from multiple horizontal tubes in parallel. Each tube is $1-\mathrm{cm}-\mathrm{ID}$ and $1 \mathrm{~m}$ long. The coolant is molten salt that enters the tubes at $370^{\circ} \mathrm{C}$. Under start-up conditions, the salt flow is $10 \mathrm{gm} / \mathrm{s}$ in each tube and the net solar flux absorbed by the tubes is $10^4 \mathrm{~W} / \mathrm{m}^2$. The tube-wall will tolerate temperatures up to $600^{\circ} \mathrm{C}$. Will the tubes survive start-up? What is the salt outlet temperature? Figure Can't Copy
Close icon
Play audio
Feedback
Powered by NumerAI
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Energy Balance
It is critical to determine how the absorbed energy increases the temperature of the fluid. In any heat transfer application, the energy added to the fluid can be calculated by balancing the absorbed power with the product of the mass flow rate and the specific heat capacity. This relationship shows how much the fluid temperature rises as it picks up energy.
Absorbed Solar Flux and Surface Area Considerations
The concept involves determining the total heat input based on the solar irradiance and the effective area over which the energy is absorbed. By multiplying the net solar flux by the area of the receiver (which is defined by its geometric dimensions), one obtains the total power transferred to the working fluid.
Fluid Flow in Heat Exchanger Tubes
Proper management of fluid flow in the tubes is essential for efficient heat exchange. The mass flow rate in the tubes influences the temperature rise of the fluid as it absorbs the solar energy. Understanding flow parameters ensures that the system operates at thermal conditions that are safe and effective.
Material Thermal Limits
This involves ensuring that the temperatures reached by the device do not exceed the material’s maximum allowable temperatures. Evaluating the thermal performance includes checking that the heat absorbed does not raise the tube wall temperature above its tolerance, which is crucial for maintaining structural integrity and safety.

*

Recommended Videos

-
problem-2-a-method-to-generate-electric-power-from-solar-irradi-ation-involves-concentrating-sunlight-onto-absorber-tubes-that-are-placed-at-the-focal-points-of-parabolic-reflectorsthe-absor-51295

A method to generate electric power from solar irradiation involves concentrating sunlight onto absorber tubes that are placed at the focal points of parabolic reflectors. The absorber tubes carry a liquid concentrator fluid that is heated as it flows through the tubes. After it leaves the concentrating field, the fluid enters a heat exchanger, where it transfers thermal energy to the working fluid of a Rankine cycle. The cooled concentrator fluid is returned to the concentrator field after it exits the heat exchanger. A power plant consists of many concentrators. The net effect of a single concentrator-tube arrangement may be approximated as one of creating a constant heating condition at the surface of the tube. Consider conditions for which a concentrated heat flux of q''s = 20,000 W/m^2, assumed to be uniform over the tube surface, heats a concentrator fluid of density, thermal conductivity, specific heat, and viscosity of p = 700 kg/m^3, k = 0.078 W/m·K, cp = 2590 J/kg·K, and μ = 0.15 × 10^-3 N·s/m^2, respectively. The tube diameter is D = 70 mm, and the mass flow rate of the fluid in a single concentrator tube is m_dot = 2.5 kg/s. 1. If the concentrator fluid enters each tube at T_m,i = 400°C and exits at T_m,o = 450°C, what is the required concentrator length, L? How much heat q is transferred to the concentrator fluid in a single concentrator-tube arrangement? 2. What is the surface temperature of the tube at the exit of a concentrator, T_s(L)?

Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever