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Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator

Easily calculate and compute bingham plastic yield stress & buckingham-reiner pipe flow calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
1,910.2 L/min

Volumetric Volumetric Discharge Flow Rate (Q)

Volumetric Volumetric Discharge Flow Rate (Q)

1,910.2 L/min

Wall Shear Stress Pascals

67.5

Solid Central Plug Core Radius Mm

13.9

Plug Radius Ratio Rp Over R

0.37

Flow Regime Status

ACTIVE BINGHAM FLOW (Central Solid Plug surrounded by Viscous Shearing Sheath)

1,910.2 — L/min

Calculation Breakdown

  1. Applied FormulaApplies the Buckingham-Reiner equation for Bingham plastic materials with a distinct yield stress τ0 (drilling muds, filled polymer slurries, toothpastes, concentrated suspensions).Q = \frac{\pi D^4 \Delta P}{128 \mu_p L} \left[ 1 - \frac{4}{3} \left(\frac{\tau_0}{\tau_w}\right) + \frac{1}{3} \left(\frac{\tau_0}{\tau_w}\right)^4 \right], \quad \tau_w = \frac{D \Delta P}{4 L} > \tau_0

Bingham Plastic Pipe Flow Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04789551.4k1.9kVolumetric Volumetric Discharge Flow Rate (Q)

What Is the Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator?

This tool computes bingham plastic yield stress & buckingham-reiner pipe flow calculator with high precision arithmetic.

How Does the Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator Work?

Applies the Buckingham-Reiner equation for Bingham plastic materials with a distinct yield stress τ0 (drilling muds, filled polymer slurries, toothpastes, concentrated suspensions).

Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q=πD4ΔP128μpL[1−43(τ0τw)+13(τ0τw)4],τw=DΔP4L>τ0Q = \frac{\pi D^4 \Delta P}{128 \mu_p L} \left[ 1 - \frac{4}{3} \left(\frac{\tau_0}{\tau_w}\right) + \frac{1}{3} \left(\frac{\tau_0}{\tau_w}\right)^4 \right], \quad \tau_w = \frac{D \Delta P}{4 L} > \tau_0

Applies the Buckingham-Reiner equation for Bingham plastic materials with a distinct yield stress τ0 (drilling muds, filled polymer slurries, toothpastes, concentrated suspensions).

How to Use the Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Bingham Plastic Yield Stress & Buckingham-Reiner Pipe Flow Calculator Example

Input Values:

yieldStressTau0Pa:25
plasticViscosityMuPPaS:0.045
pipeInsideDiameterMm:75
pipeLengthMeters:50
appliedPressureDropBar:1.8
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required L/min.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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