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Useful heat gain in concentrating collector Formula

GoUseful heat gain rate in concentrating collector when concentration ratio is present Formula

GoUseful heat gain when collection efficiency is present Formula

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Useful heat gain is defined as the rate of heat transfer to the working fluid. Check FAQs

q u = A a \cdot S - q l

q_u - Useful Heat Gain?A_a - Effective Area of Aperture?S - Solar Beam Radiation?q_l - Heat Loss from Collector?

Useful heat gain in concentrating collector Example

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Here is how the Useful heat gain in concentrating collector equation looks like with Values.

Here is how the Useful heat gain in concentrating collector equation looks like with Units.

Here is how the Useful heat gain in concentrating collector equation looks like.

3699.7696 = 44.91 \cdot 82.56 - 8

3699.7696W = 44.91m² \cdot 82.56J/sm² - 8W

3699.7696 = 44.91 \cdot 82.56 - 8

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Useful heat gain in concentrating collector Solution

Follow our step by step solution on how to calculate Useful heat gain in concentrating collector?

FIRST Step Consider the formula

q u = A a \cdot S - q l

Next Step Substitute values of Variables

∴

q u = 44.91m² \cdot 82.56J/sm² - 8W

Next Step Convert Units

∴

q u = 44.91m² \cdot 82.56W/m² - 8W

Next Step Prepare to Evaluate

∴

q u = 44.91 \cdot 82.56 - 8

LAST Step Evaluate

∴

q u = 3699.7696W

Useful heat gain in concentrating collector Formula Elements

Variables

Useful Heat Gain

Useful heat gain is defined as the rate of heat transfer to the working fluid.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful Heat Gain

Effective Area of Aperture

Effective area of aperture is defined as total area of aperture exposed to the incident radiation.

Symbol: A_a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Effective Area of Aperture

Solar Beam Radiation

Solar beam radiation is the amount of radiation absorbed in the absorber per unit effective aperture area.

Symbol: S

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Solar Beam Radiation

Heat Loss from Collector

Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.

Symbol: q_l

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Heat Loss from Collector

Other Formulas to find Useful Heat Gain

Go Useful heat gain rate in concentrating collector when concentration ratio is present

q u = F R \cdot (W - D o) \cdot L \cdot (S flux - (\frac{U l}{C}) \cdot (T fi - T a))

Go Useful heat gain when collection efficiency is present

q u = η i \cdot (I b \cdot r b + I d \cdot r d) \cdot W \cdot L

Go Useful heat gain when collector efficiency factor is present

q u = (m \cdot C p molar) \cdot ((\frac{C \cdot S flux}{U l}) + (T a - T fi)) \cdot (1 - e^{- \frac{F′ \cdot π \cdot D o \cdot U l \cdot L}{m \cdot C p molar}})

Go Useful heat gain in compound parabolic collector

q u = F R \cdot W \cdot L \cdot (S flux - ((\frac{U l}{C}) \cdot (T fi - T a)))

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a)}

Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a)}

Go Inclination of reflectors

Ψ = \frac{π - β - 2 \cdot Φ + 2 \cdot δ}{3}

Go Concentration ratio of collector

C = \frac{W - D o}{π \cdot D o}

How to Evaluate Useful heat gain in concentrating collector?

Useful heat gain in concentrating collector evaluator uses Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector to evaluate the Useful Heat Gain, The Useful heat gain in concentrating collector formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications. Useful Heat Gain is denoted by q_u symbol.

How to evaluate Useful heat gain in concentrating collector using this online evaluator? To use this online evaluator for Useful heat gain in concentrating collector, enter Effective Area of Aperture (A_a), Solar Beam Radiation (S) & Heat Loss from Collector (q_l) and hit the calculate button.

FAQs on Useful heat gain in concentrating collector

What is the formula to find Useful heat gain in concentrating collector?

The formula of Useful heat gain in concentrating collector is expressed as Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector. Here is an example- 4483 = 44.91*82.56-8.

How to calculate Useful heat gain in concentrating collector?

With Effective Area of Aperture (A_a), Solar Beam Radiation (S) & Heat Loss from Collector (q_l) we can find Useful heat gain in concentrating collector using the formula - Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector.

What are the other ways to Calculate Useful Heat Gain?

Here are the different ways to Calculate Useful Heat Gain-

Useful Heat Gain=Collector Heat Removal Factor*(Concentrator Aperture-Outer Diameter of Absorber Tube)*Length of Concentrator*(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature))
Useful Heat Gain=Instantaneous Collection Efficiency*(Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator
Useful Heat Gain=(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)*(((Concentration Ratio*Flux Absorbed by Plate)/Overall Loss Coefficient)+(Ambient Air Temperature-Inlet fluid Temperature Flat Plate Collector))*(1-e^(-(Collector Efficiency Factor*pi*Outer Diameter of Absorber Tube*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)))

Can the Useful heat gain in concentrating collector be negative?

Yes, the Useful heat gain in concentrating collector, measured in Power can be negative.

Which unit is used to measure Useful heat gain in concentrating collector?

Useful heat gain in concentrating collector is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Useful heat gain in concentrating collector can be measured.

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