Fluid Mechanics Simulations

Bernoulli Equation for Pipe Flow

Outlet conditions for water flow through a pipe using Bernoulli’s equation

id = bernoulli-equation (do not remove this text)

Bernoulli Network of Pipes

id = bernoulli-network-pipes (do not remove this text)

Blood Cell Separations Digital Experiment

id = blood-cell-WIDE (do not remove this text)

Buoyancy of a Floating Cube

Height of a cube above a liquid surface for different densities of the cube and liquid

id = bouyancy-of-a-floating-cube (do not remove this text)

Coin Rise in Viscous Fluid Digital Experiment

Calculate the viscosity and density of a fluid from the rate of rise of a coin through that fluid.

id = rising-3d-printed-quarter-wide (do not remove this text)

Contact Angle Measurement

id = contact-angle-measurement (do not remove this text)

Couette Flow

Velocity profile for laminar flow of a viscous fluid between two parallel plates

id = couette-flow (do not remove this text)

Drag Force on a Falling Object

Velocity versus time for a falling object

id = drag-force (do not remove this text)

Flow Between Three Tanks

This simulation calculates the flow rates into and out of tank B due to changes of two parameters: height of tank B and the horizontal distance between tanks B and C.

id = flow-between-three-tanks (do not remove this text)

Fluidized Bed Digital Experiment

id = fluidized-bed-wide (do not remove this text)

Forces on a Completely Submerged Gate

Force needed to keep a completely-submerged gate closed

id = forces-completely-submerged-gate (do not remove this text)

Forces on a Partially Submerged Gate

Tension in a cable that keeps a partially-submerged gate closed

id = forces-on-a-partially-submerged-gate (do not remove this text)

How Fast Does a Tank Empty? Digital Experiment

Measures the volumetric flow rate of a liquid leaving a tank as a function of the liquid height and the drain pipe diameter.

id = how-fast-does-a-tank-empty-wide (do not remove this text)

Hydraulic Loss in a Smooth Pipe Digital Experiment

Use the continuity equation and mechanical energy balance to predict velocity and pressure trends in a pipe

id = hydraulic-loss-in-a-smooth-pipe-wide (do not remove this text)

Laminar Flow Around a Sphere

Vector field for flow around a sphere

id = flow-around-a-sphere-at-low-reynolds-number (do not remove this text)

Laminar Pipe Flow

Fluid velocity as a function of radial distance for laminar flow in a pipe

id = laminar-flow (do not remove this text)

Manometers

Height of a fluid for different pressures in three types of manometers

id = manometers (do not remove this text)

Skydiving Simulation

Understand force balance during a skydive and how drag changes after deployment. Explore how parachute size and jump altitude affect landing safety.

id = open-parachute (do not remove this text)

Steady-State Flow from a Tank

Mass and volumetric flow rates of a liquid flowing out of a tank

id = flow-from-a-tank-at-constant-height (do not remove this text)

Surface Roughness Effect on Sphere Trajectory

Trajectory of a non-rotating sphere, launched from a cannon, for surfaces with different roughness

id = surface-roughness (do not remove this text)

Vectors

Representation of vector addition, scalar multiplication, and dot and cross products

id = vectors (do not remove this text)

Velocity Profile for Immiscible Viscous Fluids

Behavior of three immiscible fluids subject to Couette flow

id = velocity-profile-for-immiscible-viscous-fluids (do not remove this text)

Venturi Meter

Calculate the flow rate of a liquid through a pipe with a venturi meter

id = venturi-meter (do not remove this text)

Venturi Meter Digital Experiment

A virtual laboratory experiment for exploring venturi meters

id = venturi-meter-wide (do not remove this text)

Viscous Flow around a Rotating Rod Digital Experiment

This digital experiment measures the velocity profile of a liquid around a rotating cylinder in the limit of small Reynolds number.

id = viscous-flow-around-rotating-rod-wide (do not remove this text)

Viscous Flow in Two Connected Pipes Digital Experiment

The experiment constists of two cylindrical pipes where fluid is being pumped. The goal is to calculate the diameter of the pipe and the viscosity and density of the fluid.

id = viscous-flow-in-two-connected-pipes-WIDE (do not remove this text)

Visualization of Velocity Profiles

Understand how divergence of velocity is related to mass balance.

id = visual-velocity-profile (do not remove this text)

A 2D Flow Field

A 2D fluid velocity field is using streamlines.

id = a-2d-flow-field (do not remove this text)

Boundary Layer in Flow between Parallel Plates

Boundary layer thickness for flow between stationary parallel plates

id = boundary-layer-in-flow-between-parallel-plates (do not remove this text)

Buoyancy of a Floating Cylinder

Height of a cylinder above a liquid surface for different densities of the cube and liquid

id = buoyancy-of-a-floating-cylinder (do not remove this text)

Capillary Action

Liquids will rise in a narrow capillary tube until a balance is established between the effects of surface tension and gravity.

id = capillary-action (do not remove this text)

Double-Sided Couette Flow

Velocity profile for laminar flow between two parallel plates, both of which can have a velocity

id = double-sided-couette-flow (do not remove this text)

Equivalent Length of a Pipe with Fittings and Valves

Equivalent length of a pipe that has the same frictional pressure drop as fittings and valves

id = equivalent-length-of-a-pipe-with-fittings-and-valves (do not remove this text)

Fluid Velocity in Rigid Body Rotation and Irrotational Flow

Velocity of a fluid for rigid body rotation and for irrotation flow

id = fluid-velocity-in-rigid-body-rotation-and-irrotational-flow (do not remove this text)

Flying a Box Kite

Flight angle of a kite and the tension force in the kite string

id = flying-a-box-kite (do not remove this text)

Force on a Thrust Reverser

Force on a thrust reverser

id = force-on-a-thrust-reverser (do not remove this text)

Linear Momentum Balance in Aerodynamic Thrust

Force generated by a jet engine on a static thrust stand

id = linear-momentum-balance-in-aerodynamic-thrust (do not remove this text)

Measuring Flow Rates with a Pitot Tube

Stagnation pressure measured by a manometer to determine fluid velocity

id = measuring-flow-rates-with-a-pitot-tube (do not remove this text)

Pressure of a Rotating Fluid

Pressure as function of location for a fluid rotated at constant angular velocity

id = pressure-of-a-rotating-fluid (do not remove this text)

Pressure Profile for Column of Multiple Fluids

Effects of fluid height and density on hydrostatic pressure for three immiscible fluids

id = pressure-profile-for-column-of-multiple-fluids (do not remove this text)

Pressure Within an Accelerating Container

Pressure on a submerged ball variation with position, fluid density, and acceleration

id = pressure-with-an-accelerating-container (do not remove this text)