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Acoustofluidics Radiation Force & Focusing Calculator

Easily calculate and compute acoustofluidics radiation force & focusing calculator with accurate equations, live formulas, and expert guidance.

Cell or bead diameter.

Standing acoustic wave amplitude.

Ultrasound frequency (typically 1 to 5 MHz).

Cell density.

Water density.

Adiabatic compressibility.

Fluid compressibility.

Calculated Result
63.62 pN

Primary Acoustic Radiation Force F_rad

Primary Acoustic Radiation Force F_rad

63.62 pN

Peak Force Pico Newtons

63.615472166037435

Acoustic Contrast Factor Phi

0.06798088410991637

Energy Density Joules M3

71.11111111111111

Wavelength M

0.00075

63.62 — pN

Calculation Breakdown

  1. Applied FormulaCalculates the primary acoustic radiation force (F_rad) and acoustic contrast factor (Φ) acting on cells and micro-particles in ultrasonic standing wave resonators.F_{rad} = -\frac{\pi P_0^2 V_p \beta_m}{2 \lambda} \Phi \sin(2 k_z z), \quad \Phi = \frac{5 \rho_p - 2 \rho_m}{2 \rho_p + \rho_m} - \frac{\beta_p}{\beta_m}

Acoustic Radiation Force Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.016324864Primary Acoustic Radiation Force F_rad

What Is the Acoustofluidics Radiation Force & Focusing Calculator?

This tool computes acoustofluidics radiation force & focusing calculator with high precision arithmetic.

How Does the Acoustofluidics Radiation Force & Focusing Calculator Work?

Calculates the primary acoustic radiation force (F_rad) and acoustic contrast factor (Φ) acting on cells and micro-particles in ultrasonic standing wave resonators.

Acoustofluidics Radiation Force & Focusing Calculator Formula & Variables

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

F_{rad} = -\frac{\pi P_0^2 V_p \beta_m}{2 \lambda} \Phi \sin(2 k_z z), \quad \Phi = \frac{5 \rho_p - 2 \rho_m}{2 \rho_p + \rho_m} - \frac{\beta_p}{\beta_m}

Calculates the primary acoustic radiation force (F_rad) and acoustic contrast factor (Φ) acting on cells and micro-particles in ultrasonic standing wave resonators.

How to Use the Acoustofluidics Radiation Force & Focusing Calculator

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

Step-by-Step Example Calculation

Acoustofluidics Radiation Force & Focusing Calculator Example

Input Values:

particleDiameterUm:10
acousticPressureKpa:800
resonanceFrequencyMhz:2
particleDensityKgM3:1050
mediumDensityKgM3:1000
particleCompressibilityPPa1:3.8e-10
mediumCompressibilityPPa1:4.5e-10
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required pN.

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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