1. What is Pressure Gradient?

The Pressure Gradient refers to the rate of change of pressure in a particular direction, indicating how quickly the pressure increases or decreases around a specific location in a fluid flow system.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Shear Stress (τ) — The force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress (Pa)
• Radial Distance — Distance between whisker sensor's pivot point to whisker-object contact point (m)

Explanation: This formula calculates the pressure gradient in cylindrical coordinates based on the shear stress and radial distance from the center.

3. Importance of Pressure Gradient Calculation

Details: Pressure gradient calculations are crucial in fluid dynamics for analyzing flow patterns, determining pressure drops in piping systems, and understanding fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter shear stress in Pascals (Pa) and radial distance in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units are used for pressure gradient?
A: Pressure gradient is typically measured in Newton per Cubic Meter (N/m³) or Pascal per Meter (Pa/m).

Q2: Where is this formula commonly applied?
A: This formula is commonly used in fluid mechanics for analyzing flow in cylindrical pipes and channels.

Q3: What factors affect pressure gradient?
A: Pressure gradient is affected by fluid viscosity, flow velocity, pipe diameter, and surface roughness.

Q4: How does radial distance influence pressure gradient?
A: As radial distance increases, the pressure gradient decreases proportionally, assuming constant shear stress.

Q5: Can this calculator be used for non-Newtonian fluids?
A: This specific formula is designed for Newtonian fluids. Non-Newtonian fluids may require different calculations.