Value

Unit

Symbol

Description

Various constants

3.14

-

pai

π = 3.14: Pi

1.01E+05

N/m2

Pa

Pa = 1.013 × 105: Atmospheric pressure [N/m2]

1000

kg/m3

Dw

Dw: Density of water [kg/m3]

1.29

kg/m3

Dair

Dair: Air density at 15˚C 1 atm [kg/m3]

1.4

γ

γ = 1.4: Specific heat ratio of air

287.03

J/kg·K

R

R = 287.03: Air gas constant [J/kg·K]

0.34

-

C

C = 0.34: Drag coefficient of air resistance

0.528

-

Kchoke

Kchoke = (2/γ + 1)γ/γ−1: Critical pressure coefficient

Varieties of rocket

6.30E−03

m2

S

S = π × (4.5 × 10−2)2: Rocket body sectional area [m2]

0.165

kg

Mb

Mb = 0.165: Rocket mass [kg]

0.18

m

L

L: Guide rail length [m]

6.36E−05

m2

a

a = π × (4.5 × 10−3)2: Cross section of injection port [m2]

1.50E−03

m3

PVo

PVo = 1.5 × 10−3: Volume of fuel tank [m3]

Initial condition

5.07E+05

N/m2

Pstart

Tank air pressure at launch [N/m2]

283.2

K

Temp

Tank air temperature at launch [K]

6.23E+00

kg/m3

Dair_start

Tank air density at launch [kg/m3]

7.85E−01

rad

KAstart

Launch angle [rad] (2π × θ/360˚)

0.5

kg

Mw_start

Tank water mass at launch [kg] (at 10˚C)