Mass Flux Entering Element Calculator

✖The Water Density refers to the measure of how much mass is contained in a given volume of water. It is typically expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).ⓘ Water Density [ρ_water]			+10% -10%
✖The Gross Velocity of Groundwater refers to the rate at which groundwater moves through the entire cross-sectional area of an aquifer, including both the solid matrix and the pores.ⓘ Gross Velocity of Groundwater [V_x]			+10% -10%
✖The Head refers to the height of water columns.ⓘ Head [H_w]			+10% -10%
✖The Change in 'y' Direction refers to the change in the direction of the groundwater flow.ⓘ Change in 'y' Direction [Δy]			+10% -10%

✖The Mass Flux Entering the Element refers to the measure of the amount of mass passing through a given area per unit time.ⓘ Mass Flux Entering Element [M_x1]

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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
M_x1 = ρ_water*V_x*H_w*Δy
This formula uses 5 Variables

Variables Used

Mass Flux Entering the Element - The Mass Flux Entering the Element refers to the measure of the amount of mass passing through a given area per unit time.
Water Density - (Measured in Kilogram per Cubic Meter) - The Water Density refers to the measure of how much mass is contained in a given volume of water. It is typically expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).
Gross Velocity of Groundwater - The Gross Velocity of Groundwater refers to the rate at which groundwater moves through the entire cross-sectional area of an aquifer, including both the solid matrix and the pores.
Head - (Measured in Meter) - The Head refers to the height of water columns.
Change in 'y' Direction - The Change in 'y' Direction refers to the change in the 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

M_x1 = ρ_water*V_x*H_w*Δy --> 1000*10*2.55*10

Evaluating ... ...

M_x1 = 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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< Unconfined Flow by Dupit's Assumption Calculators

Water Table Profile Neglecting Depths of Water in Drains

LaTeX Go Water Table Profile = sqrt((Natural Recharge/Coefficient of Permeability)*(Length between Tile Drain-Flow in 'x' Direction)*Flow in 'x' Direction)

Discharge per Unit Width of Aquifer considering Permeability

LaTeX 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

LaTeX Go Maximum Height of Water Table = (Length between Tile Drain/2)*sqrt(Natural Recharge/Coefficient of Permeability)

Mass Flux Entering Element

LaTeX Go Mass Flux Entering the Element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction

Mass Flux Entering Element Formula

LaTeX Go

Mass Flux Entering the Element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction
M_x1 = ρ_water*V_x*H_w*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 M_x1 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 (ρ_water), Gross Velocity of Groundwater (V_x), Head (H_w) & 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 -> 255000 = 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 M_x1 = ρ_water*V_x*H_w*Δy or Mass Flux Entering the Element = Water Density*Gross Velocity of Groundwater*Head*Change in 'y' Direction. The Water Density refers to the measure of how much mass is contained in a given volume of water. It is typically expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³), The Gross Velocity of Groundwater refers to the rate at which groundwater moves through the entire cross-sectional area of an aquifer, including both the solid matrix and the pores, The Head refers to the height of water columns & The Change in 'y' Direction refers to the change in the 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 (ρ_water), Gross Velocity of Groundwater (V_x), Head (H_w) & 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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