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# GATE 2022 Syllabus for Naval Architecture & Marine Engineering and Paper Combinations

Updated: Aug 6, 2021

GATE 2022 is going to see two new papers, Geomatics Engineering (GE), Naval Architecture and Marine Engineering (NM). Here we will see the syllabus of Naval Architecture and Marine Engineering. Adding these new papers (GATE Geomatics and GATE Naval Architecture), the total number of papers in GATE 2022 will be 29.

In this blog, we will see three major things about Naval Architecture and Marine Engineering.

Yesterday, on the 31st of July, IIT Kharagpur, the organising institute of GATE 2022 released the final notification for GATE 2022. GATE 2022 is going to start from 05th February 2022 and it has a four days schedule(Both Forenoon and Afternoon) - 05th, 06th, 12th and 13th of February 2022.

Here is the final notification.

## Syllabus of Naval Architecture and Marine Engineering (NM)

Let us understand the various sections of the GATE NM paper.

Apart from the General Aptitude (GA) section that carries 15 marks, the question paper consists of two parts: Engineering Mathematics and Technical part.

The technical part has 4 sections - Applied Mechanics and Structures, Fluid Mechanics and Marine Hydrodynamics, Naval Architecture and Ocean Engineering, Thermodynamics and Marine Engineering.

Let us know it better with a flowchart!

The whole syllabus is quoted from the official notification.

### Section 1: Engineering Mathematics

Determinants and matrices, systems of linear equations, Eigenvalues and eigenvectors. 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, non-linear, first and higher-order ordinary and partial differential equations, separation of variables.

Laplace transformation, analytical functions of complex variables, Fourier series, numerical methods for differentiation and integration, complex analysis, probability and statistics.

### Section 2: Applied Mechanics and Structures

**Engineering Mechanics**: 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.

**Mechanics of Materials**: 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 and failure, material testing methods.

**Vibrations:** Free and forced vibration of damped and undamped systems, single and multi DOF systems.

**Machine Design:** Design for static and dynamic loading; Design of machine elements such as shafts, gears, rolling and sliding contact bearings; Joining technics such as bolting, riveting and welding

### Section 3: Fluid Mechanics and Marine Hydrodynamics

**Fluid Mechanics**: Fluid properties; fluid statics, stability of floating bodies; Conservation laws: Mass, momentum and 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, sources, sinks, dipole, Flow with circulation, potential flow with rotational symmetry, hydrodynamical lift, Kutta-Joukowski theorem. Vortex motion- Fundamental concepts, vortex analogy to Biot-Savart’s law, straight parallel vortex filaments, vortex sheets. Viscous flowNavier-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.

**Boundary layer theory**- Prandtl’s boundary layer equations, the criterion for separation, Blasius solution, Skin friction, displacement thickness, momentum thickness, Turbulent boundary layer, Boundary layer control. Airfoils- Lift, drag, circulation, pressure distribution-theory of thin aerofoils, wings of infinite and finite span, circulation distribution, Cavitation.

Vorticity and Kelvin’s theorem, Potential flow theory, Sources, Sinks and 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.

### Section 4: Naval Architecture and Ocean Engineering

**Ship geometry and physical fundamentals** - 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.

**Stability and trim of Ships**: 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 Different Characteristic curves of dynamic stability. Floodable length calculations and curves. Loss of stability due to grounding, docking stability.

**Resistance & Propulsion**: Components of ship resistance, form factor, hull roughness, model testing and ship resistance prediction methods, tank wall effects, determination of ship resistance different series test results, resistance of advanced vehicles, appendage and added resistance. Geometry of screw propeller, propeller theories, hull-propeller interactions, different propulsive efficiency definitions. Propeller cavitation and effects. Propeller design and series. Open water and selfpropulsion model tests. Different types of propellers and their working principles. Propeller material, strength and manufacturing.Unconventional propellers

**Ship Manoeuvring and Motions:** Ship path keeping and changing, equations of motion, linearised equations and control fixed stability indexes, model tests. Stability and control in the horizontal and vertical planes – definitive manoeuvres and sea trials. Rudder hydrodynamics, design and operation. Influence of propeller, hull, appendages etc. on rudder performance. Experimental methods for the determination of hydrodynamic derivatives.

**Ocean waves** – regular, irregular, trochoidal. Wave spectrum, encounter frequency. Types of ship motions, coupled and non-coupled motions, equations of motion. Dynamic effects of ship motion in seaway. Different ship motion stabilisers – passive and active. Different numerical and experimental methods to determine ship motions – strip theory, BEM, FEM. Seakeeping features of highperformance marine vehicles.

**Ship Structures & Strength**: Shipbuilding materials, joining techniques, ship structural and framing systems – bottom, side, deck, bulkhead, end structures, and 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 considerations and estimation methods. 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.

**Physical Oceanography**: Ph