## 6 Conclusions
**Nomenclature**  
**Symbols**  
\(C_{R-f}\) & Resistance coefficient for the forward speed  
\(C_{R-t}\) & Resistance coefficient for the transverse speed  
\(D_{S}\) & Diameter of the submarine  
\(L\) & Length of the parallel middle body of submarine  
\(L_{oa}\) & Total length of submarine  
\(R_{ef}\) & Reynolds number for the forward speed  
\(R_{et}\) & Reynolds number for the transverse speed  
\(V\) & Velocity vector  
\(V_{f}\) & Forward speed of the submarine  
\(V_{t}\) & Transverse speed of the submarine  
\(\underline{f_{b}}\) & Body force  
\(\underline{dx}\) & Mesh size in x direction  
\(dy\) & Mesh size in y direction  
\(\underline{dz}\) & Mesh size in z direction  
\(p\) & Dynamic pressure  
\(t\) & Time  
\(\tau\) & Shear stress tensor  
\(\rho\) & Fluid density  
\(\tau_{xy}\) & Shear stress in the plane \(xy\)  
\(\tau_{xz}\) & Shear stress in the plane \(xz\)  
\(\
abla\) & Gradient operator  
**Abbreviations**  
_ANN_ & Artificial Neural Network  
_BP_ & Back Propogation  
_CFD_ & Computational Fluid Dynamics  
_LM_ & Levenberg-Marquardt  
_NLS_ & Nonlinear Least Squares Marquardt-Levenberg algorithm  
_NON_ & Number of neurons in the hidden layer of ANN  
_PIMPLE_ & Pressure Implicit Method with Pressure Linked Equations  
_RANSE_ & Reynolds Average Navier Stokes equations  
**Appendix A**  
**Table A1. ** Various scenarios of the submarine at different speeds for the forward motion. \begin{tabular}{c c c c c c c} \hline \hline
**Case** & \(L\) **(m)** & \(L_{oa}\) **(m)** & \(D_{S}\) **(m)** & \(L\)/\(D_{S}\) & \(V_{f}\) **(m/s)** & \(Log\)(\(R_{ef}\)) \\ \hline
1 & 25 & 27.44 & 2.44 & 10.2 & 0.25 & 5.79 \\
2 & 24 & 26.49 & 2.49 & 9.6 & 0.25 & 5.79 \\
3 & 23 & 25.54 & 2.54 & 9.1 & 0.25 & 5.80 \\
4 & 22 & 24.59 & 2.59 & 8.5 & 0.25 & 5.81 \\
5 & 21.06 & 23.7 & 2.64 & 8.0 & 0.25 & 5.82 \\
6 & 20 & 22.7 & 2.7 & 7.4 & 0.25 & 5.83 \\
7 & 19 & 21.76 & 2.76 & 6.9 & 0.25 & 5.84 \\
8 & 18 & 20.83 & 2.83 & 6.4 & 0.25 & 5.85 \\
9 & 17 & 19.9 & 2.9 & 5.9 & 0.25 & 5.86 \\ \hline \hline \end{tabular}   
**Table A2. ** Various scenarios of the submarine at different speeds for the forward motion. \begin{tabular}{c c c c c c} \hline \hline
**Case** & \(L\) **(m)** & \(L_{oa}\) **(m)** & \(D_{S}\) **(m)** & \(L\)/\(D_{S}\) & \(V_{f}\) **(m/s)** & \(Log\)(\(R_{ef}\)) \\ \hline
1 & 25 & 27.44 & 2.44 & 10.2 & 0.25 & 5.79 \\
2 & 24 & 26.49 & 2.49 & 9.6 & 0.25 & 5.79 \\
3 & 23 & 25.54 & 2.54 & 9.1 & 0.25 & 5.80 \\
4 & 22 & 24.59 & 2.59 & 8.5 & 0.25 & 5.81 \\
5 & 21.06 & 23.7 & 2.64 & 8.0 & 0.25 & 5.82 \\
6 & 20 & 22.7 & 2.7 & 7.4 & 0.25 & 5.83 \\
7 & 19 & 21.76 & 2.76 & 6.9 & 0.25 & 5.84 \\
8 & 18 & 20.83 & 2.83 & 6.4 & 0.25 & 5.85 \\
9 & 17 & 19.9 & 2.9 & 5.9 & 0.25 & 5.86 \\ \hline \hline \end{tabular}   
**Table A3. ** Various scenarios of the submarine at different speeds for the forward motion. \begin{tabular}{c c c c c c} \hline \hline
**Case** & \(L\) **(m)** & \(L_{oa}\) **(m)** & \(D_{S}\) **(m)** & \(L\)/\(D_{S}\) & \(V_{f}\) **(m/s)** & \(Log\)(\(R_{ef}\)) \\ \hline
1 & 25 & 27.44 & 2.44 & 10.2 & 0.25 & 5.79 \\
2 & 24 & 26.49 & 2.49 & 9.6 & 0.25 \begin{tabular}{c c c c c c c} \hline
**Case** & **L (m)** & **Loq (m)** & **D\({}_{\text{S}}\) (m)** & **L/D\({}_{\text{S}}\)** & **\(V_{f}\) (m/s)** & **Log(R\({}_{\text{eff}}\))** \\ \hline  
\hline \end{tabular}   
**Table A1. **_Cont._