Includes ship design, marine structures, hydrodynamics, and offshore engineering, for careers in maritime and naval industries.

GATE Naval Architecture and Marine Engineering

Official 2025 syllabus extracted from https://gate2025.iitr.ac.in/doc/2025/GATE%20_NM_2025_Syllabus.pdf

Engineering Mathematics

Determinants and matrices

Systems of linear equations

Eigen values and eigen vectors

Functions, gradient, divergence, curl

Chain rules

Partial derivatives

Directional derivatives

Definite and indefinite integrals

Line, surface and volume integrals

Theorems of Stokes, Gauss and Green

Linear Algebra and Calculus

Linear and non-linear ODEs

First and higher order ODEs and PDEs

Separation of variables

Laplace transformation

Analytical functions of complex variables

Fourier series

Numerical methods for differentiation and integration

Complex analysis

Probability and statistics

Differential Equations and Transforms

Applied Mechanics and Structures

Free-body diagrams and equilibrium

Trusses and frames

Virtual work

Kinematics and dynamics of particles and rigid bodies in plane motion

Impulse and momentum (linear and angular) and energy formulations

Engineering Mechanics

Stress and strain, elastic constants, Poisson's ratio

Mohr's circle for plane stress and plane strain

Shear force and bending moment diagrams

Bending and shear stresses

Torsion

Euler's theory of columns

Energy methods

Theories of failure

Material testing methods

Mechanics of Materials

Free and forced vibration of damped and undamped systems

Single DOF systems

Multi DOF systems

Vibrations

Design for static and dynamic loading

Design of shafts, gears, rolling and sliding contact bearings

Joining techniques: bolting, riveting and welding

Machine Design

Fluid Mechanics and Marine Hydrodynamics

Fluid properties

Fluid statics

Stability of floating bodies

Conservation laws: mass, momentum, energy (integral and differential form)

Dimensional analysis and dynamic similarity

Sources, sinks, doublets, line vortex and their superposition

Stoke's integral theorem

Generalised Bernoulli's equation

Flow with circulation

Potential flow with rotational symmetry

Hydrodynamical lift, Kutta-Joukowski theorem

Fluid Mechanics Fundamentals

Vortex motion: fundamentals, Biot-Savart's law analogy

Straight parallel vortex filaments, vortex sheets

Navier-Stokes equations

Couette flow

Plane Poiseuille flow

Equation of continuity, Euler's equation, Bernoulli's equation

Viscous flow of incompressible fluids

Elementary turbulent flow

Boundary layer

Flow through pipes

Vortex and Viscous Flow

Prandtl's boundary layer equations

Criterion for separation

Blasius solution

Skin friction

Displacement and momentum thickness

Turbulent boundary layer

Boundary layer control

Boundary Layer Theory

Lift, drag and circulation

Pressure distribution

Theory of thin aerofoils

Wings of infinite and finite span

Circulation distribution

Cavitation

Airfoils and Cavitation

Vorticity and Kelvin's theorem

Potential flow theory: sources, sinks, doublets

Hydrodynamic forces in potential flow

D'Alembert's paradox

Added-mass

Slender-body theory

Hydrodynamic model testing

Scaling laws

Application of potential theory to surface waves

Energy transport

Wave/body forces

Linearised theory of lifting surfaces

Potential Flow and Hydrodynamics

Naval Architecture and Ocean Engineering

Archimedes' principle

Buoyancy and weight of ship

Laws of flotation

Heel and trim

Stable and unstable equilibrium of ships

Importance of streamlined hull shape

Ship main particulars

Hydrostatic calculations

Ship Geometry and Hydrostatics

Statical stability at small angles of heel

Inclining experiment

Shift of centre of gravity due to addition or removal of mass

Transverse movement of mass and effect

Free surface effect

Effect of suspended mass

Stability at large angles of heel, angle of loll

Curves of statical stability

Dynamical stability

Probabilistic and deterministic damage stability

Floodable length calculations and curves

Loss of stability due to grounding

Docking stability

Stability and Trim of Ships

Components of ship resistance

Form factor and hull roughness

Model testing and ship resistance prediction methods

Tank wall effects

Determination of ship resistance: series test results

Resistance of advanced vehicles

Appendage and added resistance

Geometry of screw propeller

Propeller theories

Hull-propeller interactions

Propulsive efficiency definitions

Propeller cavitation and effects

Propeller design and series

Open water and self-propulsion model tests

Types of propellers and working principles

Propeller material, strength and manufacturing

Unconventional propellers

Resistance and Propulsion

Ship path keeping and changing

Equations of motion, linearised equations

Control fixed stability indexes

Model tests

Stability and control in horizontal and vertical planes

Definitive manoeuvres and sea trials

Rudder hydrodynamics, design and operation

Influence of propeller, hull, appendages on rudder performance

Experimental methods for hydrodynamic derivatives

Ocean waves: regular, irregular, trochoidal

Wave spectrum, encounter frequency

Types of ship motions: coupled and non-coupled

Dynamic effects of ship motion in seaway

Ship motion stabilisers: passive and active

Numerical and experimental methods: strip theory, BEM, FEM

Seakeeping features of high-performance marine vehicles

Ship Manoeuvring and Motions

Shipbuilding materials

Joining techniques

Ship structural and framing systems: bottom, side, deck, bulkhead, end structures, structural connections

Primary and secondary structural members

Superstructure, hatch covers, machinery foundations

Cargo handling systems and support structures

Loads acting on ships in seaway

Longitudinal and transverse strength

Strength of hull girder

Stiffened plate analysis

Torsion of hull girder

Deformation and stresses

Local strength analysis

Reliability analysis and ultimate strength of hull girder

Structural vibrations

Fatigue and fracture

Ship Structures and Strength

Physical properties of seawater

Tides and wind waves

Fixed offshore platforms: jackets, gravity platforms

Floating platforms: semi-submersibles, jack-ups, TLPs, FPSOs

Mooring and station keeping

Ports and harbours

Port structures: jetties, dolphins, liquid berths

Dredging

Navigation

Oceanography and Offshore Structures

Thermodynamics and Marine Engineering

First law of thermodynamics: closed system cycle and change of state

Internal energy of a system

Expansion work

Processes using ideal gas: constant pressure, constant volume, isothermal, adiabatic, polytropic

GATE Naval Architecture and Marine Engineering Syllabus 2025, 2026 and more: Subjects, Topics, and What to Study