Clast Terminal Velocity Lithic

Balance spherical-clast buoyant weight against caller constant quadratic drag and report Reynolds number for applicability review; not a Stokes viscous law, nonspherical drag solver or hazard trajectory.

Description

A settling clast reaches terminal speed when buoyant weight balances drag.

A settling clast reaches terminal speed when buoyant weight balances drag. A constant quadratic-drag coefficient represents a chosen flow regime.

Balance spherical-clast buoyant weight against caller constant quadratic drag and report Reynolds number for applicability review; not a Stokes viscous law, nonspherical drag solver or hazard trajectory.

When to use Clast Terminal Velocity Lithic

Use this tool to balance spherical-clast buoyant weight against caller constant quadratic drag and report Reynolds number for applicability review; not a Stokes viscous law, nonspherical drag solver or hazard trajectory.

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.

How to use Clast Terminal Velocity Lithic and understand its results

  1. Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
  2. Enter clastDiameterM, clastDensityKgPerM3, fluidDensityKgPerM3, gravityMPerSecondSquared, constantDragCoefficient, fluidDynamicViscosityPaSeconds using the field table and calculation rules, then run the tool.
  3. Read terminalSettlingSpeedMPerSecond, modelReynoldsNumber. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
clastDiameterMClast diameter mnumberRequired
clastDensityKgPerM3Clast density kg per m3numberRequired
fluidDensityKgPerM3Fluid density kg per m3numberRequired
gravityMPerSecondSquaredGravity m per second squarednumberRequired
constantDragCoefficientConstant drag coefficientnumberRequired
fluidDynamicViscosityPaSecondsFluid dynamic viscosity Pa secondsnumberRequired

Use positive diameter, densities, gravity, drag coefficient and fluid viscosity, with the clast denser than fluid. Report speed and Reynolds number for applicability review.1

speed = sqrt(4(ρclast − ρfluid)diameter × gravity/(3ρfluid × drag coefficient))

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
terminalSettlingSpeedMPerSecondTerminal settling speed m per secondnumber
modelReynoldsNumberModel reynolds numbernumber
json
{
  "input": {
    "clastDiameterM": 0.01,
    "clastDensityKgPerM3": 2000,
    "fluidDensityKgPerM3": 1,
    "gravityMPerSecondSquared": 10,
    "constantDragCoefficient": 1,
    "fluidDynamicViscosityPaSeconds": 0.001
  },
  "output": {
    "terminalSettlingSpeedMPerSecond": 16.3258486252119,
    "modelReynoldsNumber": 163.25848625211898
  }
}

Limitations and assumptions

Spherical constant-drag settling excludes Stokes-law solving, shape changes and hazard trajectories.

Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Pumice Density Floating Checker: Model pore-water uptake at fixed pumice envelope volume and report a signed neutral-buoyancy fill fraction; values outside [0,1] identify unreachable thresholds, not an invented flotation guarantee. For a complementary task, use Ballistic Ejection Max Range: Optimize vacuum ballistic range over launch angle onto a lower horizontal impact plane; distinct from existing fixed-angle/equal-level projectile motion, and aerodynamic drag/terrain or safe distances are not predicted.

References

  1. Clast Terminal Velocity Lithic — tool.io

Similar or alternative tools

  • Pumice Density Floating Checker

    Model pore-water uptake at fixed pumice envelope volume and report a signed neutral-buoyancy fill fraction; values outside [0,1] identify unreachable thresholds, not an invented flotation guarantee.

  • Ballistic Ejection Max Range

    Optimize vacuum ballistic range over launch angle onto a lower horizontal impact plane; distinct from existing fixed-angle/equal-level projectile motion, and aerodynamic drag/terrain or safe distances are not predicted.

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies