Introduction to heat transfer – steady state heat conduction – transient heat conduction – introduc- tion to convective heat transfer – external forced convection – internal forced convection – natural/ free convection – introduction to boiling and condensation – heat exchangers – blackbody radiation and radiative properties – radiative exchange between surfaces.
Integral Transforms: The Fourier transform pair – algebraic properties of Fourier transform – con- volution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and in- tegrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.
Fluid properties – fluid statics – integral control volume formulation – applications of Bernoulli equation – fluid kinematics – differential formulation, continuity and momentum equations – exact solutions of Navier-Stokes equation– dimensional analysis – pipe flow – potential flow – boundary layer theory.
Concepts of stress, strain – torsion – axial force, shear, and bending moment – pure bending – shear stress in beams – transformation of stresses and strains – deflection of beams columns; Euler loads, beam-columns, eccentrically loaded columns – energy methods, virtual displacement method, virtual force method.
Introduction to applications – basic concepts and definitions – thermodynamic properties of pure substances – saturated and other states– work and heat, definition and applications – first law, internal energy and enthalpy, applications to non-flow and flow systems – second law, corollaries, Clasius inequality, entropy – availability, irreversibility and exergy – thermodynamic cycles – basics of gas-vapor mixtures and reacting systems – thermodynamic relations – combustion thermodynamics, stoichiometry, first, second, and third laws of thermodynamics applied to combustion.
Time complexity analysis. Big-Oh, Big-Omega, and Big-Theta notations.
Data Types, ADTs, Various types of ADTs such as List, Set Ques, circular queue, trees, graphs etc. 2-3 tree, red-black trees, binary trees, search trees, n-ary trees.
Graph traversals, searching on graph, BFS, DFS, Spanning Tree, Minimum Spanning Tree, paths, shortest paths, TSP.
Data structures for maintaining ranges, intervals and disjoint sets with applications.
Binary heap, binomial and fibonacci heaps, skip lists, Hashing, universal hashing, integer sorting algorithms with analysis.
Introduction and importance of Engineering Graphics – sheet layout and free-hand sketching – lines, lettering and dimensioning – geometrical constructions – engineering curves – orthographic projection – first angle and third angle projections – projection of points, straight lines and planes – projection of simple solids – sections of solids – development of surfaces – isometric projection – introduction to AutoCAD – creation of simple 2D drawings.
Electricity: curvilinear coordinates– conservative vector fields and their potential functions Gauss’ theorem, Stokes’ theorem – physical applications in electrostatics – electrostatic potential and field due to discrete and continuous charge distributions – dipole and quadrupole moments– energy den- sity in an electric field– dielectric polarization – conductors and capacitors– electric displacement vector – dielectric susceptibility.
Test sylbs
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