Which equation relates the viscosity of a fluid to the flow rate in a capillary
Practice Questions
Q1
Which equation relates the viscosity of a fluid to the flow rate in a capillary tube?
Bernoulli's equation
Poiseuille's law
Continuity equation
Ideal gas law
Questions & Step-by-Step Solutions
Which equation relates the viscosity of a fluid to the flow rate in a capillary tube?
Step 1: Understand that viscosity is a measure of a fluid's resistance to flow.
Step 2: Recognize that a capillary tube is a narrow tube through which fluids can flow.
Step 3: Learn about Poiseuille's law, which describes how fluids flow through a tube.
Step 4: Know that Poiseuille's law states that the flow rate of a fluid through a capillary tube is directly related to the pressure difference and inversely related to the viscosity of the fluid.
Step 5: The equation for Poiseuille's law is Q = (π * r^4 * ΔP) / (8 * η * L), where Q is the flow rate, r is the radius of the tube, ΔP is the pressure difference, η is the viscosity, and L is the length of the tube.