Specific Weight of Mixture in Suction Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g]))
γm = (p'+Zs)*yw/(Zs-Zp+(f*Vs^2/2*[g]))
This formula uses 1 Constants, 7 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Specific Weight of the Mixture - (Measured in Newton per Cubic Meter) - Specific Weight of the Mixture refers to the weight per unit volume of a mixture, such as water and suspended sediments or other materials, found in coastal environments.
Vacuum at the Pump Entrance - (Measured in Meter) - Vacuum at the Pump Entrance refers to the negative pressure created at the inlet of a pump used for applications such as dredging, dewatering, or managing water flow in coastal projects.
Depth of the Suction Pipe Entrance - (Measured in Meter) - Depth of the Suction Pipe Entrance refers to the vertical distance between the water surface and the point where the suction pipe intake is located.
Specific Weight of Water - (Measured in Newton per Cubic Meter) - Specific Weight of Water is the weight per unit volume of water.
Depth of Submergence of the Pump - (Measured in Meter) - Depth of Submergence of the Pump refers to the vertical distance between the water surface and the inlet of the pump when it is fully submerged.
Hydraulic Loss Coefficient - Hydraulic Loss Coefficient is a dimensionless number that quantifies the energy losses due to the flow of water through structures such as breakwaters and seawalls.
Flow Velocity in the Suction Pipe - (Measured in Meter per Second) - Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.
STEP 1: Convert Input(s) to Base Unit
Vacuum at the Pump Entrance: 2.1 Meter --> 2.1 Meter No Conversion Required
Depth of the Suction Pipe Entrance: 6 Meter --> 6 Meter No Conversion Required
Specific Weight of Water: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion ​here)
Depth of Submergence of the Pump: 6.5 Meter --> 6.5 Meter No Conversion Required
Hydraulic Loss Coefficient: 0.02 --> No Conversion Required
Flow Velocity in the Suction Pipe: 9 Meter per Second --> 9 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γm = (p'+Zs)*yw/(Zs-Zp+(f*Vs^2/2*[g])) --> (2.1+6)*9807/(6-6.5+(0.02*9^2/2*[g]))
Evaluating ... ...
γm = 10672.1181279516
STEP 3: Convert Result to Output's Unit
10672.1181279516 Newton per Cubic Meter -->10.6721181279516 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
10.6721181279516 10.67212 Kilonewton per Cubic Meter <-- Specific Weight of the Mixture
(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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National Institute of Technology (NIT), Warangal
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Plain Suction Dredge Calculators

Flow Velocity in Suction Pipe
​ LaTeX ​ Go Flow Velocity in the Suction Pipe = sqrt((((Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/Specific Weight of the Mixture)-Depth of the Suction Pipe Entrance+Depth of Submergence of the Pump)*(2*[g])/Fetch Length)
Hydraulic Loss Coefficient from Suction Pipe Entrance to Pump
​ LaTeX ​ Go Hydraulic Loss Coefficient = (((Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/Specific Weight of the Mixture)-Depth of the Suction Pipe Entrance+Depth of Submergence of the Pump)/(Flow Velocity in the Suction Pipe^2/2*[g])
Vacuum at Pump Entrance Expressed as Head of Water
​ LaTeX ​ Go Vacuum at the Pump Entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance
Specific Weight of Mixture in Suction Pipe
​ LaTeX ​ Go Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g]))

Specific Weight of Mixture in Suction Pipe Formula

​LaTeX ​Go
Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g]))
γm = (p'+Zs)*yw/(Zs-Zp+(f*Vs^2/2*[g]))

What is Suction Dredger?

Suction Dredger is a stationary dredger normally used for mining sand. The suction pipe of this dredger is inserted into the sand deposit and water jets are used to bring the sand up from the excavation site.

What is the difference between Volumetric and Gravimetric Water Content?

Gravimetric water content is the weight of soil water contained in a unit weight of soil (kg water/kg dry soil).
Likewise, volumetric water content is a volume fraction (m3 water/m3 soil).

How to Calculate Specific Weight of Mixture in Suction Pipe?

Specific Weight of Mixture in Suction Pipe calculator uses Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])) to calculate the Specific Weight of the Mixture, The Specific Weight of Mixture in Suction Pipe is defined as the unit weight, which is the weight per unit volume of a material including other parameters such as hydraulic loss coefficient, and depth of submergence pump. Specific Weight of the Mixture is denoted by γm symbol.

How to calculate Specific Weight of Mixture in Suction Pipe using this online calculator? To use this online calculator for Specific Weight of Mixture in Suction Pipe, enter Vacuum at the Pump Entrance (p'), Depth of the Suction Pipe Entrance (Zs), Specific Weight of Water (yw), Depth of Submergence of the Pump (Zp), Hydraulic Loss Coefficient (f) & Flow Velocity in the Suction Pipe (Vs) and hit the calculate button. Here is how the Specific Weight of Mixture in Suction Pipe calculation can be explained with given input values -> 0.010672 = (2.1+6)*9807/(6-6.5+(0.02*9^2/2*[g])).

FAQ

What is Specific Weight of Mixture in Suction Pipe?
The Specific Weight of Mixture in Suction Pipe is defined as the unit weight, which is the weight per unit volume of a material including other parameters such as hydraulic loss coefficient, and depth of submergence pump and is represented as γm = (p'+Zs)*yw/(Zs-Zp+(f*Vs^2/2*[g])) or Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])). Vacuum at the Pump Entrance refers to the negative pressure created at the inlet of a pump used for applications such as dredging, dewatering, or managing water flow in coastal projects, Depth of the Suction Pipe Entrance refers to the vertical distance between the water surface and the point where the suction pipe intake is located, Specific Weight of Water is the weight per unit volume of water, Depth of Submergence of the Pump refers to the vertical distance between the water surface and the inlet of the pump when it is fully submerged, Hydraulic Loss Coefficient is a dimensionless number that quantifies the energy losses due to the flow of water through structures such as breakwaters and seawalls & Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.
How to calculate Specific Weight of Mixture in Suction Pipe?
The Specific Weight of Mixture in Suction Pipe is defined as the unit weight, which is the weight per unit volume of a material including other parameters such as hydraulic loss coefficient, and depth of submergence pump is calculated using Specific Weight of the Mixture = (Vacuum at the Pump Entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])). To calculate Specific Weight of Mixture in Suction Pipe, you need Vacuum at the Pump Entrance (p'), Depth of the Suction Pipe Entrance (Zs), Specific Weight of Water (yw), Depth of Submergence of the Pump (Zp), Hydraulic Loss Coefficient (f) & Flow Velocity in the Suction Pipe (Vs). With our tool, you need to enter the respective value for Vacuum at the Pump Entrance, Depth of the Suction Pipe Entrance, Specific Weight of Water, Depth of Submergence of the Pump, Hydraulic Loss Coefficient & Flow Velocity in the Suction Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Specific Weight of the Mixture?
In this formula, Specific Weight of the Mixture uses Vacuum at the Pump Entrance, Depth of the Suction Pipe Entrance, Specific Weight of Water, Depth of Submergence of the Pump, Hydraulic Loss Coefficient & Flow Velocity in the Suction Pipe. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Specific Weight of the Mixture = Concentration of Soil in the Mixture*Specific Weight of Dry Sand Grains+(1-Concentration of Soil in the Mixture)*Specific Weight of Water
  • Specific Weight of the Mixture = Concentration of Soil in the Mixture*(Specific Weight of Dry Sand Grains-Specific Weight of Water)+Specific Weight of Water
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