Essay in Syllabus of Vtu Chem Engg

W. E Chemical substance Engineering Syllabus

ENGINEERING MATH – III Sub Code Hrs/ Week Total Hours periods.::: 10MAT31 04 52 IA Marks Examination Hours Test Marks PART-A UNIT-1 Fourier series Affluence and curve of unlimited series of great terms, classification and illustrative examples* Routine functions, Dirichlet's conditions, Fourier series of regular functions of period and arbitrary period, half range Fourier series. Complex type of Fourier Series. Practical harmonic analysis. six Hours UNIT-2 Fourier Converts Infinite Fourier transform, Fourier Sine and Cosine changes, properties, Inverse transforms six Hours UNIT-3 Application of PDE Various possible solutions of one dimensional influx and high temperature equations, two dimensional Laplace's equation by method of parting of variables, Solution coming from all these equations with specified boundary circumstances. D'Alembert's solution of one dimensional wave equation. 6 Several hours UNIT-4 Curve Fitting and Optimisation Contour fitting by method::: 25 03 95

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Optimization: Linear programming, numerical formulation of linear coding problem (LPP), Graphical approach and simplex method. 7 Hours PART-B UNIT-5 Statistical Methods - 1 Numerical Solution of algebraic and transcendental equations: Regula-falsi method, Newton - Raphson technique. Iterative techniques of solution of the system of equations: Gauss-seidel and Relaxation strategies. Largest besonders value and the corresponding ausgefallen vector simply by Rayleigh's electricity method. 6 Hours

UNIT-6 Numerical Strategies – 2 Finite dissimilarities: Forward and backward variations, Newton's forward and backwards interpolation formulae. Divided variations - Newton's divided big difference formula, Lagrange's interpolation solution and inverse interpolation formulation. Numerical integration: Simpson's a third, three-eighth and Weddle's guidelines (All formulae/rules without proof) 7 Several hours UNIT-7 Numerical Methods – 3 Statistical solutions of PDE – finite difference approximation to derivatives, Statistical solution of two dimensional Laplace's formula, one dimensional heat and wave equations 7 Hours UNIT-8

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Difference Equations and Z-Transorms Difference equations: Basic explanation; Z-transforms – definition, common Z-transforms, dissipating rule, shifting rule, first value and final benefit theorems. Inverse Z-transform. Putting on Z-transforms to fix difference equations. 6 Hours Note: 5. In the case of illustrative examples, concerns are not to be set. Textual content Books: 1 . B. H. Grewal, Larger Engineering Mathematics, Latest model, Khanna Publishers. 2 . Erwin Kreyszig, Advanced Engineering Mathematics, Latest model, Wiley Magazines. Reference Books: 1 . M. V. Ramana, Higher Architectural Mathematics, Latest edition, Struktur Mc. Graw Hill Magazines. 2 . Peter V. O'Neil, Engineering Math concepts, CENGAGE Learning India Pvt Ltd. Marketers.

MOMENTUM COPY Subject Code No . of Lecture Hours/Week Total Number of Address Hours: 10CH32: 04: 52 PART – A UNIT one particular: Fluid Statics and its Applications: Concept of unit operations, Concept of Momentum Copy, Nature of fluids and pressure principle, Variation of pressure with level – hydrostatic equilibrium, Barometric equation, Dimension of liquid pressure – manometers. Ongoing gravity decanter, Centrifugal decanter. 6 Hours UNIT a couple of: Fluid movement phenomena: Types of essential fluids – shear stress and velocity lean relation, Newtonian and not – Newtonian fluids, Viscosity of smells and fluids. Types of flow – laminar and turbulent flow, Reynolds pressure, Eddy viscosity. Flow in boundary tiers, Reynolds amount, Boundary coating separation and wake formation. 6 Several hours UNIT three or more: Basic equations of fluid flow: Normal velocity, Mass velocity, Continuity equation, Euler and Bernoulli equations, Modified equations intended for real essential fluids with static correction factors. Pump work in Bernoulli equation. Slanted momentum...



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