Slope of Channel given Mean Velocity of Flow Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%

✖The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.ⓘ Slope of Channel given Mean Velocity of Flow [S]

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Formula

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Slope of Channel given Mean Velocity of Flow

Formula

S = \frac{μ \cdot V mean}{(d section \cdot R - \frac{R^{2}}{2}) \cdot γ f}

Example

0.229024 = \frac{10.2 P \cdot 10 m/s}{(5 m \cdot 1.01 m - \frac{{1.01 m}^{2}}{2}) \cdot 9.81 kN/m³}

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Slope of Channel given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)
S = (μ*V_mean)/((d_section*R-(R^2)/2)*γ_f)
This formula uses 6 Variables

Variables Used

Slope of Surface of Constant Pressure - The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.
Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (μ*V_mean)/((d_section*R-(R^2)/2)*γ_f) --> (1.02*10)/((5*1.01-(1.01^2)/2)*9.81)

Evaluating ... ...

S = 0.229023524858634

STEP 3: Convert Result to Output's Unit

0.229023524858634 --> No Conversion Required

FINAL ANSWER

0.229023524858634 ≈ 0.229024 <-- Slope of Surface of Constant Pressure

(Calculation completed in 00.007 seconds)

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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)

Diameter of Section given Mean Velocity of Flow

Go Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Dynamic Viscosity given Mean Velocity of Flow in Section

Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Mean Velocity of Flow in Section

Go Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Slope of Channel given Mean Velocity of Flow Formula

What is Channel?

A channel is a passageway, a means of access for a thing, a communication, or an idea. Think of a channel as sort of a tunnel or a funnel that moves something directly through. The noun channel can be used for many such avenues.

How to Calculate Slope of Channel given Mean Velocity of Flow?

Slope of Channel given Mean Velocity of Flow calculator uses Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid) to calculate the Slope of Surface of Constant Pressure, The Slope of Channel given Mean Velocity of Flow is defined as inclination of the channel or gradient to which head is made. Slope of Surface of Constant Pressure is denoted by S symbol.

How to calculate Slope of Channel given Mean Velocity of Flow using this online calculator? To use this online calculator for Slope of Channel given Mean Velocity of Flow, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Diameter of Section (d_section), Horizontal Distance (R) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Slope of Channel given Mean Velocity of Flow calculation can be explained with given input values -> 0.000229 = (1.02*10)/((5*1.01-(1.01^2)/2)*9810).

FAQ

What is Slope of Channel given Mean Velocity of Flow?

The Slope of Channel given Mean Velocity of Flow is defined as inclination of the channel or gradient to which head is made and is represented as S = (μ*V_mean)/((d_section*R-(R^2)/2)*γ_f) or Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval, The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle, The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

How to calculate Slope of Channel given Mean Velocity of Flow?

The Slope of Channel given Mean Velocity of Flow is defined as inclination of the channel or gradient to which head is made is calculated using Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid). To calculate Slope of Channel given Mean Velocity of Flow, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Diameter of Section (d_section), Horizontal Distance (R) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Diameter of Section, Horizontal Distance & Specific Weight of Liquid 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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