Sem II (2024-2025)

This course is about the basic Laboratory techniques used in Chemical Engineering such as for Fluid Mechanics, Heat Transfer, Mass transfer and others.

Unit I: Higher order Linear Differential Equations: (7 Hrs.)

 LDE of nth order with constant coefficients,

 Complementary Function

 Particular Integral

 General Solution of LDE by General Method

 General Solution of LDE by Short-Cut Methods

 General Solution of LDE by Variation Parameter Method

 Mathematical Modeling of Chemical Engg. Problem

Unit II: Laplace Transform: (7Hrs.)

 Definition of Laplace Transform

 Laplace Transform of standard functions,

 Properties of Laplace Transform

 Inverse LT and its Properties

 Application of LT to solve LDE

Unit III: Fourier Series: (7 Hrs.)

 Dirichlet’s conditions,

 Fourier series

 Half range Fourier Sine series

 Half range Fourier Cosine series

 Harmonic Analysis

 Applications of Fourier series – Harmonic Analysis, Modelling of Vibrating String

Unit IV: Fourier Transform: (7 Hrs.)

 Fourier integral theorem,

 Fourier transform,

 Inverse Fourier Transforms

 Fourier sine & cosine transforms

 Applications of Fourier transforms

Unit V: Vector Differential Calculus: (7 Hrs.)

 Vector differentiation,

 Vector differential operator,

 Gradient, Divergence and Curl,

 Directional derivative,

 Solenoidal, Irrotational and Conservative fields,

 Scalar potential, Vector Identities