Useful heat gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector
qu = Ap*Sflux-ql
This formula uses 4 Variables
Variables Used
Useful heat gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
Area of absorber plate - (Measured in Square Meter) - Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .
Flux absorbed by plate - (Measured in Watt per Square Meter) - Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate.
Heat Loss from Collector - (Measured in Watt) - Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.
STEP 1: Convert Input(s) to Base Unit
Area of absorber plate: 13 Square Meter --> 13 Square Meter No Conversion Required
Flux absorbed by plate: 98 Joule per Second per Square Meter --> 98 Watt per Square Meter (Check conversion here)
Heat Loss from Collector: 8 Watt --> 8 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qu = Ap*Sflux-ql --> 13*98-8
Evaluating ... ...
qu = 1266
STEP 3: Convert Result to Output's Unit
1266 Watt --> No Conversion Required
FINAL ANSWER
1266 Watt <-- Useful heat gain
(Calculation completed in 00.004 seconds)

Credits

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DIT UNIVERSITY (DITU), Dehradun
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10+ Liquid Flat Plate Collectors Calculators

Collection efficiency when collector efficiency factor is present
Go Instantaneous Collection Efficiency = (Collector Efficiency Factor*(Area of absorber plate/Gross Collector Area)*Average Transmissivity-absorptivity Product)-(Collector Efficiency Factor*Area of absorber plate*Overall loss coefficient*(Average of Inlet and Outlet Temperature of fluid-Ambient Air Temperature)*1/Flux Incident on Top Cover)
Collection efficiency when heat removal factor is present
Go Instantaneous Collection Efficiency = Collector heat removal factor*(Area of absorber plate/Gross Collector Area)*(Flux absorbed by plate/Flux Incident on Top Cover-((Overall loss coefficient*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover))
Collector heat removal factor
Go Collector heat removal factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall loss coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall loss coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure)))
Collection efficiency when average transmissivity-absorptivity product is present
Go Instantaneous Collection Efficiency = Collector heat removal factor*(Area of absorber plate/Gross Collector Area)*(Average Transmissivity-absorptivity Product-(Overall loss coefficient*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover)
Heat loss from collector
Go Heat Loss from Collector = Overall loss coefficient*Area of absorber plate*(Average temperature of absorber plate-Ambient Air Temperature)
Collection efficiency when fluid temperature is present
Go Instantaneous Collection Efficiency = (0.692-4.024*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover
Transmissivity Absorptivity product
Go Transmissivity - Absorptivity product = Transmissivity*Absorptivity/(1-(1-Absorptivity)*Diffuse Reflectivity)
Instantaneous collection efficiency
Go Instantaneous Collection Efficiency = Useful heat gain/(Gross Collector Area*Flux Incident on Top Cover)
Useful heat gain
Go Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector
Bottom loss coefficient
Go Bottom Loss Coefficient = Thermal Conductivity of Insulation/Thickness of Insulation

Useful heat gain Formula

Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector
qu = Ap*Sflux-ql

How do we get useful heat gain?

Useful heat gain is nothing but the difference between the incident ( absorbed) radiation and the heat lost due to convection , re-radiation and conduction.

How to Calculate Useful heat gain?

Useful heat gain calculator uses Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector to calculate the Useful heat gain, The Useful heat gain 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 qu symbol.

How to calculate Useful heat gain using this online calculator? To use this online calculator for Useful heat gain, enter Area of absorber plate (Ap), Flux absorbed by plate (Sflux) & Heat Loss from Collector (ql) and hit the calculate button. Here is how the Useful heat gain calculation can be explained with given input values -> 1266 = 13*98-8.

FAQ

What is Useful heat gain?
The Useful heat gain formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications and is represented as qu = Ap*Sflux-ql or Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector. Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation , Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate & Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.
How to calculate Useful heat gain?
The Useful heat gain formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications is calculated using Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector. To calculate Useful heat gain, you need Area of absorber plate (Ap), Flux absorbed by plate (Sflux) & Heat Loss from Collector (ql). With our tool, you need to enter the respective value for Area of absorber plate, Flux absorbed by plate & Heat Loss from Collector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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