HCF of two numbers

Area of absorber in central receiver collector Calculator

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

Solar Energy Systems Automobile Design of Automobile Elements Design of Machine Elements More >>

⤿

Concentrating Collectors Basics Liquid Flat Plate Collectors Other Renewable Energy Sources More >>

✖The Diameter of Sphere Absorber is the measurement across the widest part of a spherical absorber used in solar energy systems, impacting efficiency and performance.ⓘ Diameter of Sphere Absorber [D_p]			+10% -10%
✖The Rim Angle is the angle formed between the rim of a concentrating collector and the horizontal plane, influencing the collector's efficiency in capturing solar energy.ⓘ Rim Angle [Φ_r]			+10% -10%

✖The Area of Absorber in Central Receiver Collector is the surface area that captures solar energy in a concentrating solar power system, enhancing energy conversion efficiency.ⓘ Area of absorber in central receiver collector [A_central]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

Area of absorber in central receiver collector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2))
A_central = pi/2*D_p^2*(1+sin(Φ_r)-(cos(Φ_r)/2))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Area of Absorber in Central Receiver Collector - (Measured in Square Meter) - The Area of Absorber in Central Receiver Collector is the surface area that captures solar energy in a concentrating solar power system, enhancing energy conversion efficiency.
Diameter of Sphere Absorber - (Measured in Meter) - The Diameter of Sphere Absorber is the measurement across the widest part of a spherical absorber used in solar energy systems, impacting efficiency and performance.
Rim Angle - (Measured in Radian) - The Rim Angle is the angle formed between the rim of a concentrating collector and the horizontal plane, influencing the collector's efficiency in capturing solar energy.

STEP 1: Convert Input(s) to Base Unit

Diameter of Sphere Absorber: 3 Meter --> 3 Meter No Conversion Required
Rim Angle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_central = pi/2*D_p^2*(1+sin(Φ_r)-(cos(Φ_r)/2)) --> pi/2*3^2*(1+sin(0.872664625997001)-(cos(0.872664625997001)/2))

Evaluating ... ...

A_central = 20.4232672449461

STEP 3: Convert Result to Output's Unit

20.4232672449461 Square Meter --> No Conversion Required

FINAL ANSWER

20.4232672449461 ≈ 20.42327 Square Meter <-- Area of Absorber in Central Receiver Collector

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Solar Energy Systems » Mechanical » Concentrating Collectors » Area of absorber in central receiver collector

Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Calculator and 50+ more calculators!

Verified by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has verified this Calculator and 300+ more calculators!

< Concentrating Collectors Calculators

Inclination of reflectors

LaTeX Go Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3

Useful heat gain in concentrating collector

LaTeX Go Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector

Maximum possible concentration ratio of 3-D concentrator

LaTeX Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))

Maximum possible concentration ratio of 2-D concentrator

LaTeX Go Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

Area of absorber in central receiver collector Formula

LaTeX Go

Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2))
A_central = pi/2*D_p^2*(1+sin(Φ_r)-(cos(Φ_r)/2))

What is Central Receiver?

A central receiver, also known as a power tower, is a key component in concentrated solar power (CSP) systems. It is a tower-mounted structure that collects and absorbs sunlight concentrated by an array of mirrors, called heliostats. The receiver converts this concentrated sunlight into thermal energy, which is used to generate steam and drive turbines for electricity production. Central receivers are efficient for large-scale solar energy generation.

How to Calculate Area of absorber in central receiver collector?

Area of absorber in central receiver collector calculator uses Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2)) to calculate the Area of Absorber in Central Receiver Collector, The Area of absorber in central receiver collector formula is defined as the area exposed to the sun that absorbs incident radiation. Area of Absorber in Central Receiver Collector is denoted by A_central symbol.

How to calculate Area of absorber in central receiver collector using this online calculator? To use this online calculator for Area of absorber in central receiver collector, enter Diameter of Sphere Absorber (D_p) & Rim Angle (Φ_r) and hit the calculate button. Here is how the Area of absorber in central receiver collector calculation can be explained with given input values -> 20.42327 = pi/2*3^2*(1+sin(0.872664625997001)-(cos(0.872664625997001)/2)).

FAQ

What is Area of absorber in central receiver collector?

The Area of absorber in central receiver collector formula is defined as the area exposed to the sun that absorbs incident radiation and is represented as A_central = pi/2*D_p^2*(1+sin(Φ_r)-(cos(Φ_r)/2)) or Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2)). The Diameter of Sphere Absorber is the measurement across the widest part of a spherical absorber used in solar energy systems, impacting efficiency and performance & The Rim Angle is the angle formed between the rim of a concentrating collector and the horizontal plane, influencing the collector's efficiency in capturing solar energy.

How to calculate Area of absorber in central receiver collector?

The Area of absorber in central receiver collector formula is defined as the area exposed to the sun that absorbs incident radiation is calculated using Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2)). To calculate Area of absorber in central receiver collector, you need Diameter of Sphere Absorber (D_p) & Rim Angle (Φ_r). With our tool, you need to enter the respective value for Diameter of Sphere Absorber & Rim Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search