Case 1.4a (NMRI)

Conditions:

• Towing in calm water condition
• Without rudder, without propeller
• With ESD
• $FR_{Z \theta}$
• $R_{e}=7.46 \times 10^6, F_r=0.142$
• $L_{PP} = 7.000$ [m], $U=1.179$ [m/s]
• $\rho = 998.2$ [kg/m3], $\nu = 1.107 \times 10^{-6}$ [m2/s]
• $g = 9.80$ [m/s2]

References:

Not yet available.

Requested computations:

Table/Figure# Items EFD Data Submission Instruction
Data + Tecplot layout file Image Image files Sample + Tecplot layout file
1.4a-1 $u, v, w$ contours and cross flow vectors at $x/L_{PP} = 0.9625$ (SS 3/8) Refer to sample file for detail <Common>
Axis:
$-0.035 < Y/L_{PP} < 0.035$
$-0.065 < z/L_{PP} < 0.005$
Aspect ratio = 1:1
Frame line of SS 3/8 should be drawn.

<Contours>
Filename:
[Identifier]_S2-wDuct-woProp_U_1-4a.png (for $u / U$ )
[Identifier]_S2-wDuct-woProp_V_1-4a.png (for $v / U$ )
[Identifier]_S2-wDuct-woProp_W_1-4a.png (for $w / U$ )
[Identifier]_S2-wDuct-woProp_OMGX_1-4a.png (for $\displaystyle{\omega_x \cdot \frac{L_{PP}}{U} }$ )
Contour style: lines
Line Style: solid positive, dashed negative
Contour intervals:
$\Delta (u/U) = 0.1, \Delta (v/U) = 0.1, \Delta (w/U) = 0.1$ and $\Delta \omega_x \cdot \displaystyle{\frac{L_{PP}}{U}} =20$

<Cross flow vectors>
Filename:
[Identifier]_S2-wDuct-woProp_VW_1-4a.png
Vector length: $0.004$ [Magnitude/Grid Units]
Length of Reference vector: 1.0
Case1.4a_SPIV.zip
Contours of $\omega_x$ is not included.(Oct. 08, 2015)
1.4a-2 $u, v, w$ contours and cross flow vectors at $x/L_{PP} = 0.9843$
(between duct and propeller, 110[mm] ahead from AP)
Refer to sample file for detail <Common>
Axis and Aspect ratio are same as Case1.4a-1

<Contours>
Filename:
[Identifier]_S4-wDuct-woProp_U_1-4a.png (for $u / U$ )
[Identifier]_S4-wDuct-woProp_V_1-4a.png (for $v / U$ )
[Identifier]_S4-wDuct-woProp_W_1-4a.png (for $w / U$ )
[Identifier]_S4-wDuct-woProp_OMGX_1-4a.png (for $\displaystyle{\omega_x \cdot \frac{L_{PP}}{U} }$ )
The others are same as Case1.4a-1

<Cross flow vectors>
Filename:
[Identifier]_S4-wDuct-woProp_VW_1-4a.png
The others are same as Case1.4a-1
1.4a-3 $u, v, w$ contours and cross flow vectors at $x/L_{PP} = 1.0000$ (AP) Refer to sample file for detail <Common>
Axis and Aspect ratio are same as Case1.4a-1

<Contours>
Filename:
[Identifier]_S7-wDuct-woProp_U_1-4a.png (for $u / U$ )
[Identifier]_S7-wDuct-woProp_V_1-4a.png (for $v / U$ )
[Identifier]_S7-wDuct-woProp_W_1-4a.png (for $w / U$ )
[Identifier]_S7-wDuct-woProp_OMGX_1-4a.png (for $\displaystyle{\omega_x \cdot \frac{L_{PP}}{U} }$ )
The others are same as Case1.4a-1

<Cross flow vectors>
Filename:
[Identifier]_S7-wDuct-woProp_VW_1-4a.png
The others are same as Case1.4a-1

Note: a positive (+) sinkage value is defined upwards and a positive (+) trim value is defined bow up.

Submission Instructions:

• [Identifier] should be [Institute Name]-[Solver Name]. For example, if your institute is NMRI and solver is SURFv7, identifier should be NMRI-SURFv7.
• Identifier in the Figure should be [Institute Name]/[Solver Name]. For example, if your institute is NMRI and solver is SURFv7, identifier should be NMRI/SURFv7.
• All figures should be in black and white.
• Authors may change the contour levels for turbulence quantities for better qualitative comparison.

All quantities are non-dimensionalized by denstiy of water ($\rho$), ship speed ($U$), and length between parpendiculars ($L_{PP}$): \begin{align*} F_r = \frac{U}{\sqrt{g \cdot L_{PP}}}, \quad R_e = \frac{U \cdot L_{PP}}{\nu} \end{align*} where $g$ is the gravitational acceleration and $\nu$ is the kinematic viscosity.