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?
  1. Bernoulli's equation
  2. Poiseuille's law
  3. Continuity equation
  4. 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.
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