Mass Flux Entering Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction
Mx1 = ρwater*Vx*Hw*Δy
This formula uses 5 Variables
Variables Used
Mass Flux Entering the element - Mass Flux Entering the element is the rate of mass flow.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Gross Velocity of Groundwater - Gross Velocity of Groundwater entering the element in x-direction.
Head - (Measured in Meter) - Head is defined as the height of water columns.
Change in 'y' Direction - Change in 'y' Direction of the groundwater flow.
STEP 1: Convert Input(s) to Base Unit
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Gross Velocity of Groundwater: 10 --> No Conversion Required
Head: 2.55 Meter --> 2.55 Meter No Conversion Required
Change in 'y' Direction: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mx1 = ρwater*Vx*Hw*Δy --> 1000*10*2.55*10
Evaluating ... ...
Mx1 = 255000
STEP 3: Convert Result to Output's Unit
255000 --> No Conversion Required
FINAL ANSWER
255000 <-- Mass Flux Entering the element
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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10+ Unconfined Flow by Dupit's Assumption Calculators

Water table profile neglecting depths of water in drains
Go Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
Change in Drawdown given Discharge
Go Change in Drawdown = Discharge*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/2*pi*Transmissivity
Natural Recharge given total head
Go Natural Recharge = (Water Table Profile^2*Coefficient of Permeability)/((Length between tile drain-Flow in 'x' Direction)*Flow in 'x' Direction)
Length about discharge per unit width of aquifer
Go Length between upstream and downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge)
Discharge per unit width of aquifer is
Go Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/2*Length between upstream and downstream
Maximum Height of Water Table
Go Maximum Height of Water Table = (Length between tile drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)
Length when Maximum Height of Water Table is Considered
Go Length between tile drain = 2*Maximum Height of Water Table/sqrt(Natural Recharge/Coefficient of Permeability)
Mass Flux Entering Element
Go Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction
Recharge when Maximum Height of Water Table
Go Natural Recharge = (Maximum Height of Water Table/(Length between tile drain/2))^2*Coefficient of Permeability
Length when discharge entering per unit length of drain is considered
Go Length between tile drain = Discharge/Natural Recharge

Mass Flux Entering Element Formula

Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction
Mx1 = ρwater*Vx*Hw*Δy

What is Flux in Fluid Mechanics?

Flux as flow rate per unit area. In transport phenomena (heat transfer, mass transfer and fluid dynamics), flux is defined as the rate of flow of a property per unit area.

How to Calculate Mass Flux Entering Element?

Mass Flux Entering Element calculator uses Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction to calculate the Mass Flux Entering the element, The Mass Flux Entering Element is defined as contaminant mass moving across unit area of porous media (aquifer) perpendicular to groundwater flow direction. Mass Flux Entering the element is denoted by Mx1 symbol.

How to calculate Mass Flux Entering Element using this online calculator? To use this online calculator for Mass Flux Entering Element, enter Water Density water), Gross Velocity of Groundwater (Vx), Head (Hw) & Change in 'y' Direction (Δy) and hit the calculate button. Here is how the Mass Flux Entering Element calculation can be explained with given input values -> 200000 = 1000*10*2.55*10.

FAQ

What is Mass Flux Entering Element?
The Mass Flux Entering Element is defined as contaminant mass moving across unit area of porous media (aquifer) perpendicular to groundwater flow direction and is represented as Mx1 = ρwater*Vx*Hw*Δy or Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction. Water Density is mass per unit of water, Gross Velocity of Groundwater entering the element in x-direction, Head is defined as the height of water columns & Change in 'y' Direction of the groundwater flow.
How to calculate Mass Flux Entering Element?
The Mass Flux Entering Element is defined as contaminant mass moving across unit area of porous media (aquifer) perpendicular to groundwater flow direction is calculated using Mass Flux Entering the element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction. To calculate Mass Flux Entering Element, you need Water Density water), Gross Velocity of Groundwater (Vx), Head (Hw) & Change in 'y' Direction (Δy). With our tool, you need to enter the respective value for Water Density, Gross Velocity of Groundwater, Head & Change in 'y' Direction 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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