GUJARAT TECHNOLOGICAL UNIVERSITY B.E Semester: 4 Automobile Engineering Subject Code 141903 Subject Name ENGINEERING

Sr.No Course content 1. Basic Concepts: Microscopic & macroscopic point of view, and control , Thermodynamic properties, processes and cycles, Thermodynamic equilibrium, Quasi-static process, pure substance, vapour- liquid-solid in a pure substance, p-v-t surface, critical and triple point of pure substance.

2. First law of Thermodynamics: First law for a closed system undergoing a cycle and change of state, -A property of the system, Perpetual motion machine of the first kind, steady flow energy equation applied to nozzle, diffuser, boiler, turbine, compressor, pump, heatexchanger,throttling process and filling and emptying process.

3. Second law of thermodynamics & : Limitations of first law of thermodynamics, Kelvin-Planck and Clausius statements and their equivalence, Perpetual motion machine of the second kind, , carnot’s theorem, corollary of carnot theorem, thermodynamic scale. Clausius theorem, the property of entropy, inequality of Clausius, entropy change in a open system, reversible and , principle of increase of entropy, Third law of thermodynamics, Entropy and disorder, concept of exergy.

4. Availability, Irreversibility & Thermodynamic Relations: Available and unavailable energy, available energy referred to a cycle, availability in non-flow and steady flow systems, reversibility and irreversibility. Maxwell’s equation, T-ds equations, difference in capacities, ratio of heat capacities, Helm-holtz and Gibbs function, relations, Clausius- Claperyon equation, Joule-Thomson co- efficient.

5. Vapour & Gas Power cycles: Carnot cycle, , comparison of carnot and rankine cycle, modified rankine cycle, calculation of cycle efficiencies, variables affecting efficiency of rankine cycle. Carnot, Otto, diesel, dual, atkinson and . Comparison of otto, diesel and dual cycles, calculation of air standard efficiencies, mean effective , brake thermal efficiencies, relative efficiencies of I.C. engine.

www.gtucampus.com Automobile Engineering Sem 4 Page 1 of 6 6. Combustion of fuels: Combustion of air, combustion equations, minimum air requirement, excess air and air fuel ratio, wet and dry analysis of products of combustion, conversion of volumetric analysis by mass, Determination of calorific value of fuel by Bomb calorimeter and Junkers gas calorimeter, of formation, Enthalpy of reaction, Adiabatic flame temperature.

7. Properties of gases and Mixtures: Avogadro’s law, , equation, Vander Waal’s equation, , law of corresponding states, chart. Gibbs-Dalton law, volumetric analysis of gas mixture, apparent molecular weight and gas constant, specific heat of a gas mixture, adiabatic mixing of perfect gases, gas and vapour mixtures.

Reference Books:

1. Engineering Thermodynamics by P.K. Nag, Tata McGraw-Hill , New Delhi 2. Engineering Thermodynamics by R.K. Rajput, Laxmi Publications, New Delhi 3. Fundamentals of Engineering Thermodynamics by R.Yadav, Central Publishing House, Allahabad 4. Thermodynamics – An Engineering Approach by Yunus Centel & Boles, Tata Mc 5. Graw-Hill, New Delhi 6. Thermodynamics by J.P. Holman, Tata Mc Graw-Hill. 7. An introduction to Thermodynamics by YVC Rao, New Age publishers, New Delhi. 8. Thermodynamics – Theory & Application by Robert Balmer, Jaico publication house. 9. Fundamentals of Thermodynamics by Sonntag, Borgnakke & Van wylen, John Wiley & sons (ASIA) PVT. LTD.

www.gtucampus.com Automobile Engineering Sem 4 Page 2 of 6 GUJARAT TECHNOLOGICAL UNIVERSITY B.E Semester: 4 Automobile Engineering Subject Code 142001 Subject Name KINEMATICS AND DYNAMICS OF MACHINES

Sr.No Course content 1. SIMPLE MECHANISM: Link, Kinematic chains and their classification, mechanism and machine, Inversions - four-bar chain and single slider crank chain, various types of quick return motions. Pantograph, straight line motion mechanisms.

2. MOTION ANALYSIS: Angular and linear velocities in link mechanism, velocity and acceleration diagram for slider - crank chain and four-bar chain mechanism including coriolis component of acceleration. Analytical methods of Kinematic analysis.

3. FLEXIBLE POWER TRANSMISSION SYSTEM, GEOMETRICAL CONFIGURATION: Analysis of forces and power transmission. Effects of centrifugal force, creep and initial tension.

4. GEARS: Classification of gears, types of motion, law of gear tooth action, involute and cycloidal tooth profile - interference of gears - minimum number of teeth to avoid interference, contact ratio. Helical, spiral, worm and bevel gears, Introduction to gear train and types of trains.

5. GYROSCOPE: Angular Velocity, Angular acceleration, Gyroscopic Torque, gyroscopic effect on naval ships,stability of automobile,stability of two wheel and four wheel automobile

6. CAMS: Types of cams and followers. Drawing a cam profiles for a given displacement - time diagram, analysis of cam profiles with specified contours.

7. VIBRATIONS IN MECHANICAL SYSTEMS: Introduction, Basic features of vibration systems - single degree of freedom systems and vibration isolation.

8. BALANCING: Forces due to revolving masses. Balancing of revolving masses in one plane and in different planes.

www.gtucampus.com Automobile Engineering Sem 4 Page 3 of 6 Reference Books:

1. S.S.Rattan Theory of Machines Tata Mc Graw Hill 2. Jagdish Lal Theory of Machines Metropolitan Book Co. 3. Amitabha Ghosh & Mallik A. K. Theory of Mechanisms and Machines East West Press 4. Rao J. S. and Dukkipati R. V. Mechanism & Machine Theory New Age International Pub. 5. Charles E. Wilson & J.Peter Sadler Kinematics and Dynamics of Machinery Pearson Education publications

www.gtucampus.com Automobile Engineering Sem 4 Page 4 of 6 GUJARAT TECHNOLOGICAL UNIVERSITY B.E Semester: 4

Subject Name Mathematics-IV

Sr.No Course content 1. Complex numbers and functions: Limits of Functions, Continuity, Differentiability, Analytic functions, Cauchy-Riemann Equations, Necessary and Sufficient condition for analyticity, Properties of Analytic Functions, Laplace Equation, Harmonic Functions, Finding Harmonic Conjugate functions Exponential, Trigonometric, Hyperbolic functions and its properties. Multiple valued function and its branches: Logarithmic function and Complex Exponent function.

2. Complex Integration: Curves, Line Integrals (contour integral) and its properties. Line integrals of single valued functions, Line integrals of multiple valued functions (by choosing suitable branches). Cauchy-Goursat Theorem, Cauchy Integral Formula, Liouville Theorem, Fundamental Theorem of Algebra, Maximum Modulus Theorems.

3. Power Series: Convergence (Ordinary, Uniform, Absolute) of power series, Taylor and Laurent Theorems, Laurent series expansions. Zeros of analytic functions. Singularities of analytic functions and their classification Residues: Residue Theorem, Rouche’s Theorem, Argument Principle.

4. Applications of Contour Integration: Evaluating various type of definite real integrals using contour integration method.

5. Conformal Mapping and its applications: Mappings by elementary functions, Mobius transformations, Schwarz- Christoffel transformation.

6. Interpolation: Interpolation by polynomials, divided differences, error of the interpolating polynomial.

7. Numerical integration: Composite rules, error formulae, Gaussian integration.

8. Linear algebraic equation: Solution of a system of linear equations: implementation of Gaussian elimination and Gauss-Seidel methods, partial pivoting.

www.gtucampus.com Automobile Engineering Sem 4 Page 5 of 6 9. Roots of equation: Solution of a nonlinear equation: Bisection and Secant methods, Newton’s method, rate of convergence, Power method for computation of Eigen values.

10. Ordinary differential equations: Numerical solution of ordinary differential equations, Euler and Runge- Kutta methods.

Reference Books:

1) R. V. Churchill and J. W. Brown, Complex variables and applicati (7th Edition), McGraw-Hill (2003). 2) J. M. Howie, Complex analysis, Springer-Verlag (2004). 3) M. J. Ablowitz and A. S. Fokas, Complex Variables- Introduction and Applications, Cambridge University Press, 1998 (Indian Edition). 4) E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999). 5) S. D. Conte and Carl de Boor, Elementary Numerical Analysis- An Algorithmic Approach (3rd Edition), McGraw-Hill, 1980. 6) C. E. Froberg, Introduction to Numerical Analysis (2nd Edition), Addison-Wesley, 1981.

www.gtucampus.com Automobile Engineering Sem 4 Page 6 of 6