Symbol

Description

Unit

A

Laser beam area at the surface

m2

a

Approximation constant [16]

-

Cp

Specific heat capacity

kJ/(kg K)

D

Thermal diffusivity

m2/s

Dinner

Inner removal diameter

µm

Douter

Outer removal diameter

µm

dspot

Laser spot diameter

µm

G

Green function

-

H

Heat transfer coefficient

W/(m2∙K)

I

Laser power density

W/cm2

l

Absorption depth

nm

PL

Laser power

W

Pabs

Absorbed laser power

W

r

Laser beam radius

µm

T

Temperature rise

˚C

TBoiling

Electrolyte boiling temperature

˚C

Tmodel,peak

Peak surface temperature (Model)

˚C

TR,max

Upper limit temperature for a material removal

˚C

TR,min

Bottom limit temperature for a material removal

˚C

t

Time

s

tL

Irradiation time

s

v

Feed velocity

m/s

X Y Z

Dimensionless coordinates

-

x y z

Dimensional coordinates

m

α

Dimensionless quantity (r/l)

-

αabs

Wavelength related absorption coefficient of Ti

%

θ

Dimensionless quantity (H・r/κ)

-

κ

Thermal conductivity

W/(m K)

λ

Laser wavelength

nm

ϕ

Integration variable/substitution quantity (τ - τ’)

-

ρ

Density

Kg/m³

τ

Dimensionless time coordinate

-

τE

Transmission coefficient of the electrolyte

%

Ψ

Dimensionless temperature rise

-