Slope of Streamline Calculator

✖Component of Velocity in Y Direction is velocity in Vertical direction.ⓘ Component of Velocity in Y Direction [v]			+10% -10%
✖Component of Velocity in X Direction is velocity in horizontal direction.ⓘ Component of Velocity in X Direction [u]			+10% -10%

✖Slope of Streamline is angle of inclination of streamline with horizontal.ⓘ Slope of Streamline [θ]

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Slope of Streamline Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)
θ = arctan(v/u)*(180/pi)
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Slope of Streamline - Slope of Streamline is angle of inclination of streamline with horizontal.
Component of Velocity in Y Direction - (Measured in Meter per Second) - Component of Velocity in Y Direction is velocity in Vertical direction.
Component of Velocity in X Direction - (Measured in Meter per Second) - Component of Velocity in X Direction is velocity in horizontal direction.

STEP 1: Convert Input(s) to Base Unit

Component of Velocity in Y Direction: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Component of Velocity in X Direction: 8 Meter per Second --> 8 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = arctan(v/u)*(180/pi) --> arctan(10/8)*(180/pi)

Evaluating ... ...

θ = 51.3401917459099

STEP 3: Convert Result to Output's Unit

51.3401917459099 --> No Conversion Required

FINAL ANSWER

51.3401917459099 ≈ 51.34019 <-- Slope of Streamline

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Description of the Flow Pattern Calculators

Slope of Streamline

LaTeX Go Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)

Component of Velocity in X Direction using Slope of Streamline

LaTeX Go Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline)

Component of Velocity in Y Direction given Slope of Streamline

LaTeX Go Component of Velocity in Y Direction = Component of Velocity in X Direction*tan(pi/180*Slope of Streamline)

< Streamlines, Equipotential Lines and Flow Net Calculators

Slope of Streamline

LaTeX Go Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)

Component of Velocity in Y Direction given Slope of Equipotential Line

LaTeX Go Component of Velocity in Y Direction = Component of Velocity in X Direction/Slope of Equipotential Line

Component of Velocity in X Direction given Slope of Equipotential Line

LaTeX Go Component of Velocity in X Direction = Component of Velocity in Y Direction*Slope of Equipotential Line

Slope of Equipotential Line

LaTeX Go Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction

Slope of Streamline Formula

LaTeX Go

Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)
θ = arctan(v/u)*(180/pi)

What is Streamline?

A streamline is a path traced out by a massless particle as it moves with the flow. It is easiest to visualize a streamline if we move along with the body (as opposed to moving with the flow). ... Since the streamline is traced out by a moving particle, at every point along the path the velocity is tangent to the path.

How to Calculate Slope of Streamline?

Slope of Streamline calculator uses Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi) to calculate the Slope of Streamline, The Slope of Streamline is defined as inclination of streamline with respect to horizontal with velocity component. Slope of Streamline is denoted by θ symbol.

How to calculate Slope of Streamline using this online calculator? To use this online calculator for Slope of Streamline, enter Component of Velocity in Y Direction (v) & Component of Velocity in X Direction (u) and hit the calculate button. Here is how the Slope of Streamline calculation can be explained with given input values -> 51.34019 = arctan(10/8)*(180/pi).

FAQ

What is Slope of Streamline?

The Slope of Streamline is defined as inclination of streamline with respect to horizontal with velocity component and is represented as θ = arctan(v/u)*(180/pi) or Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi). Component of Velocity in Y Direction is velocity in Vertical direction & Component of Velocity in X Direction is velocity in horizontal direction.

How to calculate Slope of Streamline?

The Slope of Streamline is defined as inclination of streamline with respect to horizontal with velocity component is calculated using Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi). To calculate Slope of Streamline, you need Component of Velocity in Y Direction (v) & Component of Velocity in X Direction (u). With our tool, you need to enter the respective value for Component of Velocity in Y Direction & Component of Velocity in X 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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