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GATE Naval Architecture and Marine Engineering (NM) Syllabus 2023

Organisation : Graduate Aptitude Test In Engineering GATE
Exam Name : Naval Architecture and Marine Engineering (NM) Exam
Announcement : GATE Naval Architecture and Marine Engineering (NM) Syllabus 2023
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GATE Naval Architecture and Marine Engineering (NM) Syllabus

In each of the following subjects the topics have been divided into two categories – Core Topics and Special Topics. The corresponding sections of the question paper will contain 90% of their questions on Core Topics and the remaining 10% on Special Topics.

Related / Similar Syllabus : GATE Metallurgical Engineering (MT) Syllabus 2023


Naval Architecture and Marine Engineering (NM) Syllabus

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.

** 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 techniques 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 flow- 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.
** Boundary layer theory- Prandtl’s boundary layer equations, 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.

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