Submarine Dive Plane Hydrodynamic Lift Calculator

Submarine Maneuvering Hydrodynamics: Compute vertical hydrodynamic forces, pitching moments ($M_y$), equilibrium dive angles, and depth ascent/descent rates for bow and stern control planes.

Speed & Control Plane Geometry

Submarine Speed $V$ (knots):

Seawater Density $\rho$ (kg/m³):

Bow / Fairwater Control Planes

Bow Planes Area $S_{\text{bow}}$ (m²):

Bow Deflection $\delta_{\text{bow}}$ (deg): Negative = Dive angle down

Stern Control Planes

Stern Planes Area $S_{\text{stern}}$ (m²):

Stern Deflection $\delta_{\text{stern}}$ (deg): Positive = Tail up (Bow down)

Bow Moment Arm $x_{\text{bow}}$ (m):

Stern Moment Arm $x_{\text{stern}}$ (m):

Hydrodynamic Forces & Dive Dynamics

Pitching Moment ($M_y$)

-- kN·m

Pitch Down / Dive

Equilibrium Pitch Angle ($\theta$)

--°

Steady dive trim

Depth Change Rate ($\dot{z}$)

-- m/s

-- ft/min

Total Vertical Lift ($F_z$)

-- kN

Bow: -- kN | Stern: -- kN

Hydrodynamic Control Principle:

• Dynamic pressure $q = \frac{1}{2}\rho V^2$: -- kPa

• Plane effectiveness scales quadratically with speed ($L \propto V^2$).

• Stern planes control hull pitch angle; bow planes provide direct depth change with minimal angle of attack.

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Submarine Dive Plane Hydrodynamic Lift Calculator

Speed & Control Plane Geometry

Bow / Fairwater Control Planes

Stern Control Planes

Hydrodynamic Forces & Dive Dynamics

Frequently Asked Questions