Outflow at Beginning of Time Interval Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval)
Q1 = (I1+I2)+(2*S1/Δt)-((2*S2/Δt)+Q2)
This formula uses 7 Variables
Variables Used
Outflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.
Inflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.
Inflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time.
Storage at the Beginning of Time Interval - Storage at the Beginning of Time Interval is the amount of water stored in reservoirs within the system of the hydrological cycle at the start of the time. Make Validation type greater than zero.
Time Interval - (Measured in Second) - Time Interval is the amount of time required for the change from the initial to the final state.
Storage at the End of Time Interval - Storage at the End of Time Interval is the amount of water stored in reservoirs within the system of hydrological cycle at the end of the time.
Outflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
STEP 1: Convert Input(s) to Base Unit
Inflow at the Beginning of Time Interval: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Inflow at the End of Time Interval: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Storage at the Beginning of Time Interval: 15 --> No Conversion Required
Time Interval: 5 Second --> 5 Second No Conversion Required
Storage at the End of Time Interval: 35 --> No Conversion Required
Outflow at the End of Time Interval: 64 Cubic Meter per Second --> 64 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q1 = (I1+I2)+(2*S1/Δt)-((2*S2/Δt)+Q2) --> (55+65)+(2*15/5)-((2*35/5)+64)
Evaluating ... ...
Q1 = 48
STEP 3: Convert Result to Output's Unit
48 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
48 Cubic Meter per Second <-- Outflow at the Beginning of Time Interval
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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4 Goodrich Method Calculators

Outflow at Beginning of Time Interval
Go Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval)
Inflow at Beginning of Time Interval
Go Inflow at the Beginning of Time Interval = ((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval)-((2*Storage at the Beginning of Time Interval/Time Interval)-Outflow at the Beginning of Time Interval)-Inflow at the End of Time Interval
Outflow at End of Time Interval
Go Outflow at the End of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+((2*Storage at the Beginning of Time Interval/Time Interval)-Outflow at the Beginning of Time Interval)-(2*Storage at the End of Time Interval/Time Interval)
Inflow at End of Time Interval
Go Inflow at the End of Time Interval = ((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval)-((2*Storage at the Beginning of Time Interval/Time Interval)-Outflow at the Beginning of Time Interval)-Inflow at the Beginning of Time Interval

Outflow at Beginning of Time Interval Formula

Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval)
Q1 = (I1+I2)+(2*S1/Δt)-((2*S2/Δt)+Q2)

What is Spillway?

A Spillway is a structure used to provide the controlled release of flows from a dam or levee into a downstream area, typically the riverbed of the dammed river itself.

How to Calculate Outflow at Beginning of Time Interval?

Outflow at Beginning of Time Interval calculator uses Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval) to calculate the Outflow at the Beginning of Time Interval, The Outflow at Beginning of Time Interval formula is defined as the groundwater discharge to surface water bodies, evapotranspiration, pumping, spring flow, discharge through seepage faces along hillslopes, and any other losses of water from the system. Outflow at the Beginning of Time Interval is denoted by Q1 symbol.

How to calculate Outflow at Beginning of Time Interval using this online calculator? To use this online calculator for Outflow at Beginning of Time Interval, enter Inflow at the Beginning of Time Interval (I1), Inflow at the End of Time Interval (I2), Storage at the Beginning of Time Interval (S1), Time Interval (Δt), Storage at the End of Time Interval (S2) & Outflow at the End of Time Interval (Q2) and hit the calculate button. Here is how the Outflow at Beginning of Time Interval calculation can be explained with given input values -> 48 = (55+65)+(2*15/5)-((2*35/5)+64).

FAQ

What is Outflow at Beginning of Time Interval?
The Outflow at Beginning of Time Interval formula is defined as the groundwater discharge to surface water bodies, evapotranspiration, pumping, spring flow, discharge through seepage faces along hillslopes, and any other losses of water from the system and is represented as Q1 = (I1+I2)+(2*S1/Δt)-((2*S2/Δt)+Q2) or Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval). Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time, Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time, Storage at the Beginning of Time Interval is the amount of water stored in reservoirs within the system of the hydrological cycle at the start of the time. Make Validation type greater than zero, Time Interval is the amount of time required for the change from the initial to the final state, Storage at the End of Time Interval is the amount of water stored in reservoirs within the system of hydrological cycle at the end of the time & Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
How to calculate Outflow at Beginning of Time Interval?
The Outflow at Beginning of Time Interval formula is defined as the groundwater discharge to surface water bodies, evapotranspiration, pumping, spring flow, discharge through seepage faces along hillslopes, and any other losses of water from the system is calculated using Outflow at the Beginning of Time Interval = (Inflow at the Beginning of Time Interval+Inflow at the End of Time Interval)+(2*Storage at the Beginning of Time Interval/Time Interval)-((2*Storage at the End of Time Interval/Time Interval)+Outflow at the End of Time Interval). To calculate Outflow at Beginning of Time Interval, you need Inflow at the Beginning of Time Interval (I1), Inflow at the End of Time Interval (I2), Storage at the Beginning of Time Interval (S1), Time Interval (Δt), Storage at the End of Time Interval (S2) & Outflow at the End of Time Interval (Q2). With our tool, you need to enter the respective value for Inflow at the Beginning of Time Interval, Inflow at the End of Time Interval, Storage at the Beginning of Time Interval, Time Interval, Storage at the End of Time Interval & Outflow at the End of Time Interval 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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