302042 Heat Transfer Teaching scheme : (hrs/week) Lectures: 4 Practical: 2 Examination scheme Paper: 100 marks Practical: 50 Marks Unit I Introduction: Applications of Heat Transfer in different fields of engineering. Modes of heat transfer, Fourier’s law of conduction, Newton’s law of cooling. StefanBoltzmann’s law of radiation. Isotropic and anisotropic materials. Three dimensional heat conduction equation in Cartesian coordinate for anisotropic material for unsteady state condition, thermal diffusivity and reduction to Fourier equation. Laplace equation and Poisson’s equation. Three dimensional form of heat conduction equation in cylindrical and spherical co-ordinates (no derivation). One dimensional steady state heat conduction: - One dimensional steady state heat conduction through a plane wall, cylindrical wall and sphere, Analogy between Heat flow and electricity, heat conduction through a composite slab, cylinder and sphere, overall heat transfer coefficient, Concept of thermal resistance and conductance,. Unit II Critical radius of insulation, thermal contact resistance. Economic thickness of insulation. Physical interpretation of Thermal conductivity and its variation with temperature for metals, non metallic solids, gases and liquids. One dimensional problems of variable thermal conductivity. One dimensional steady state heat conduction with heat generation:Symmetrical and asymmetrical boundary condition in plane wall, Conduction in solid and hollow cylinder and sphere. Practical problems of heat generation. Unit III Extended Surfaces: Heat transfer through extended surfaces .Fins of different shapes. Derivation of differential equation for fins with constant cross section with different boundary conditions. Effectiveness and efficiency of a fin. Error in the measurement of temperature in a thermowell. Heat sinks- types and applications. Unsteady state Heat Conduction: System with negligible internal resistance. Biot and Fourier numbers. Criteria for neglecting internal temperature gradient. Unit IV Convection: Introduction to hydrodynamic and thermal boundary layer .Laminar and turbulent flow over and inside a surface. Convective heat transfer coefficients and their order of magnitude, Dimensional analysis of free and forced convection. Physical significance of the dimensionless parameters – Nusselt’s number, Reynold’s number, Prandtl’s number, Grashoff’s number, Stanton number, Rayleigh number. Forced convection: Empirical correlations for heat transfer in laminar and turbulent flow over a flat plate and in a circular pipe .Concept of hydraulic diameter. Natural convection: Empirical correlations for free convection heat transfer over horizontal, vertical plate and cylinder. Unit V Thermal Radiation: Fundamental concepts, Black body radiation, Kirchoff’s law, Planck’s distribution law, Wien’s displacement law and Stefan Boltzmann’s law. Surface emission, radiative properties of a surface .Grey, black, white and real surface. Solid angle and intensity of radiation, Lambert’s cosine law. Heat exchange by radiation between two finite black surfaces .Radiation shape factor, use of shape factor charts. Irradiation, radiosity, electrical network method of solving problems. Heat exchange between non-black bodies, Heat exchange between two infinitely parallel planes, cylinders and spheres. Radiation Shields, Gas radiation (elementary treatment only). Solar radiation. Unit VI Condensation and boiling: Film and drop wise condensation .Derivation of heat transfer coefficient for Laminar film condensation on vertical and inclined plate, correlations for condensation on and inside tubes. Regimes of pool boiling and pool boiling curve and critical heat flux. Forced Convection boiling. Heat exchangers: Classification, Applications of heat-exchangers. Heat Exchanger analysis – Logarithmic Mean Temperature Difference for parallel and counter flow heat exchangers. LMTD correction factors, fouling factor. The Effectiveness –NTU method for parallel and counter flow heat exchangers. Design considerations for heat exchanger. Introduction to compact heat exchanger and heat pipe heat exchanger. List of Practicals: The term Work shall consist of any “eight’ experiments out of the following: Note: One of the experiments listed below must have computer interfacing. 1. Determination of thermal conductivity of insulating powder 2. Determination of thermal conductivity of metal rod. 3. Temperature distribution through a composite wall. 4. Temperature distribution along the length of a fin and determination of fin effectiveness and fin efficiency. 5. Natural convection heat transfer from a heated vertical cylinder. 6. Heat transfer in forced convection for a pipe losing heat to air flowing through it. 7. Determination of emissivity of a metal surface. 8. Determination of Stefan-Boltzmann constant. 9. Determination of critical heat flux in pool boiling. 10. Performance of a parallel flow and counter flow heat exchanger. Reference Books : 1. J.P. Holman, ”Heat Transfer”, McGraw hill. 2. Frank P Incropera, David P De Witt, (1990), “Fundamentals of Heat Transfer”, Wiley, Eastern Limited. 3. Sachdeva, R.C,(1988),”Fundamentals of Engineering Heat and Mass Transfer ,Wiley Eastern Limited IIIrd Edition. 4. Sukhatme S.P.(1989), “A text book on Heat Transfer “,III rd Edition, Orient Longmans Ltd,New Delhi. 5. Arora S C and Domkundwar.S. (1994),”A Course in Heat and Mass Transfer”, Dhanpat Rai & Sons, IVth Edition. 6. Gupta and Prakash, (1994),”Engineering Heat Transfer”, Nemchand and Brothers. 7. Karlekar & Desmond,”Principles of Heat Transfer “, Prentice hall of India Ltd, New Delhi. 8. M. Necati Ozisik, “Heat Transfer”.