Mass Density of Fluid Given Frictional Drag Calculator

Formula Used:

\[ \rho_{liquid} = \frac{2 \times F_D}{C_d \times A_{cs} \times V_s^2} \]

Drag Force (F_D):

Coefficient of Drag (C_d):

Cross-Sectional Area (A_cs):

m²

Settling Velocity (V_s):

m/s

Liquid Density (ρ_liquid):

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1. What is Mass Density of Fluid?

Mass density of fluid (ρ_liquid) is the mass per unit volume of a liquid, typically measured in kg/m³. It's a fundamental property that affects how objects move through fluids and is crucial in fluid dynamics calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho_{liquid} = \frac{2 \times F_D}{C_d \times A_{cs} \times V_s^2} \]

Where:

\( F_D \) — Drag force (N)
\( C_d \) — Coefficient of drag (dimensionless)
\( A_{cs} \) — Cross-sectional area (m²)
\( V_s \) — Settling velocity (m/s)

Explanation: This formula calculates the density of a fluid based on the drag force experienced by an object moving through it, considering the object's drag coefficient, cross-sectional area, and settling velocity.

3. Importance of Liquid Density Calculation

Details: Calculating liquid density is essential for various engineering applications, including fluid dynamics, sedimentation processes, particle transport, and designing systems involving fluid flow and drag forces.

4. Using the Calculator

Tips: Enter drag force in newtons, coefficient of drag (dimensionless), cross-sectional area in square meters, and settling velocity in meters per second. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is drag force?
A: Drag force is the resistance force experienced by an object moving through a fluid, acting opposite to the direction of motion.

Q2: How is coefficient of drag determined?
A: Coefficient of drag is typically determined experimentally and depends on the object's shape, surface roughness, and Reynolds number.

Q3: What is settling velocity?
A: Settling velocity is the constant velocity reached by a particle falling through a fluid when the drag force equals the gravitational force.

Q4: When is this calculation most accurate?
A: This calculation is most accurate for spherical particles in laminar flow conditions and when all input parameters are precisely measured.

Q5: What are typical density values for common fluids?
A: Water has a density of about 1000 kg/m³, air about 1.2 kg/m³, while mercury has a much higher density of about 13500 kg/m³.