Calendar: 1961-1962 Page 193

192 FACULTY OF ENGINEERING Heat and Thermodynamics Basic concepts relating to heat engines and refrigerators The working fluid thermodynamic state and cycle of operations The First Law of Thermodynamics internal energy and enthalpy Applications to particular fluids liquids vapours and perfect gases Energy equations for fluid flow Efficiency of heat engines and the Second Law of Thermodynamics Carnot's Principle the thermodynamic scale of temperature entropy and its applications Elementary steam and gas cycles Principles of combustion calculations Mixtures of perfect gases and of gases and vapours dew point relative humidity and wet-bulb temperature PART II Mathematics Partial differentiation Maxima and minima of functions of several independent variables Multiple integrals Change of independent variables Vector algebra and analysis Line surface and volume integrals Differential equations including first and second order equations integrable by quadratures linear differential equations with constant coefficients equations reducible to these and simultaneous linear equations with constant coefficients Orthogonal systems of curves particularly coaxal circles and confocal conies Pole and polar Use of inversion Simple partial differential equations The Poisson and Laplace Equations Spherical Trigonometry Fourier Series and numerical harmonic analysis Use of determinants Three dimensional co-ordinate geometry of straight lines planes and simple surfaces with their tangent planes and normals Mechanics of Fluids Fluids in motion Dynamical similarity and its applications use of dimensionless parameters dimensional analysis solid boundary re- sistance to fluid flow laminar and turbulent boundary layers surface and form resistances of solid bodies in fluid flow flow with free surface tranquil critical and rapid flows analysis of free surface waves and surges resistance to flow in conduits flow distribution in pipe