Difference of Pressure for Viscous or Laminar Flow Calculator

⤿

Viscous Flow

Draft Tube

Flow Characteristics

Orifices and Mouthpieces

Properties of Surfaces and Solids

⤿

Flow Analysis

Dimensions and Geometry

Fluid Flow and Resistance

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_avg]			+10% -10%
✖Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.ⓘ Length of Pipe [L]			+10% -10%
✖Pipe Diameter is the diameter of the pipe in which the liquid is flowing.ⓘ Pipe Diameter [d_pipe]			+10% -10%

✖The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.ⓘ Difference of Pressure for Viscous or Laminar Flow [Δp]

⎘ Copy

👎

Formula

✖

Difference of Pressure for Viscous or Laminar Flow

Formula

`"Δp" = (32*"μ"*"v"_{"avg"}*"L")/("d"_{"pipe"}^2)`

Example

`"44.85562N/m²"=(32*"8.23N*s/m²"*"6.5m/s"*"3m")/(("10.7m")^2)`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

Difference of Pressure for Viscous or Laminar Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)
Δp = (32*μ*v_avg*L)/(d_pipe^2)
This formula uses 5 Variables

Variables Used

Pressure Difference in Viscous Flow - (Measured in Pascal) - The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.
Length of Pipe - (Measured in Meter) - Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Average Velocity: 6.5 Meter per Second --> 6.5 Meter per Second No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Pipe Diameter: 10.7 Meter --> 10.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δp = (32*μ*v_avg*L)/(d_pipe^2) --> (32*8.23*6.5*3)/(10.7^2)

Evaluating ... ...

Δp = 44.8556205782165

STEP 3: Convert Result to Output's Unit

44.8556205782165 Pascal -->44.8556205782165 Newton per Square Meter (Check conversion here)

FINAL ANSWER

44.8556205782165 ≈ 44.85562 Newton per Square Meter <-- Pressure Difference in Viscous Flow

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Flow Analysis » Difference of Pressure for Viscous or Laminar Flow

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 13 Flow Analysis Calculators

Viscosity of Fluid or Oil in Rotating Cylinder Method

Go Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

Viscosity of Fluid or Oil for Capillary Tube Method

Go Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe

Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Power Absorbed in Collar Bearing

Go Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

Viscosity of Fluid or Oil for Movement of Piston in Dash-Pot

Go Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)

Mean Free Path given Fluid Viscosity and Density

Go Mean Free Path = (((pi)^0.5)*Viscosity of Fluid)/(Liquid Density*((Thermodynamic Beta*Universal Gas Constant*2)^(0.5)))

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing

Go Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film

Viscosity of Fluid or Oil in Falling Sphere Resistance Method

Go Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)

Loss of Head Due to Friction

Go Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])

Difference of Pressure for Viscous Flow between Two Parallel Plates

Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Difference of Pressure for Viscous or Laminar Flow

Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Power Absorbed in Foot-Step Bearing

Go Power Absorbed = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Shaft Diameter/2)^4)/(Thickness of Oil Film)

Difference of Pressure for Viscous or Laminar Flow Formula

Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)
Δp = (32*μ*v_avg*L)/(d_pipe^2)

What is viscous flow?

A type of fluid flow in which there is a continuous steady motion of the particles; the motion at a fixed point always remains constant. Also called streamline flow; laminar flow; steady flow.

What is pressure drop?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Difference of Pressure for Viscous or Laminar Flow?

Difference of Pressure for Viscous or Laminar Flow calculator uses Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2) to calculate the Pressure Difference in Viscous Flow, The Difference of pressure for viscous or laminar flow formula is known while considering the viscosity of oil flowing with its average velocity, length, and diameter of the pipe. Pressure Difference in Viscous Flow is denoted by Δp symbol.

How to calculate Difference of Pressure for Viscous or Laminar Flow using this online calculator? To use this online calculator for Difference of Pressure for Viscous or Laminar Flow, enter Viscosity of Fluid (μ), Average Velocity (v_avg), Length of Pipe (L) & Pipe Diameter (d_pipe) and hit the calculate button. Here is how the Difference of Pressure for Viscous or Laminar Flow calculation can be explained with given input values -> 50.3433 = (32*8.23*6.5*3)/(10.7^2).

FAQ

What is Difference of Pressure for Viscous or Laminar Flow?

The Difference of pressure for viscous or laminar flow formula is known while considering the viscosity of oil flowing with its average velocity, length, and diameter of the pipe and is represented as Δp = (32*μ*v_avg*L)/(d_pipe^2) or Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Average Velocity is defined as the mean of all different velocities, Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system & Pipe Diameter is the diameter of the pipe in which the liquid is flowing.

How to calculate Difference of Pressure for Viscous or Laminar Flow?

The Difference of pressure for viscous or laminar flow formula is known while considering the viscosity of oil flowing with its average velocity, length, and diameter of the pipe is calculated using Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2). To calculate Difference of Pressure for Viscous or Laminar Flow, you need Viscosity of Fluid (μ), Average Velocity (v_avg), Length of Pipe (L) & Pipe Diameter (d_pipe). With our tool, you need to enter the respective value for Viscosity of Fluid, Average Velocity, Length of Pipe & Pipe Diameter 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 Pressure Difference in Viscous Flow?

In this formula, Pressure Difference in Viscous Flow uses Viscosity of Fluid, Average Velocity, Length of Pipe & Pipe Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Home

FREE PDFs

🔍 Search