Syllabus

UNIT I: Governing Differential Equations and Finite Difference Method

• Classification of PDEs
• Initial and Boundary Conditions
• Initial and Boundary Value Problems
• Finite Difference Method:
  • Central, Forward, Backward Difference for a Uniform Grid
  • Central Difference Expressions for a Non-uniform Grid
• Numerical Error
• Accuracy of Solution
• Grid Independence Test

UNIT II: Heat Transfer

Conduction Heat Transfer

• Applications of Heat Conduction
• Steady and Unsteady Conduction
• One Dimensional Steady State Problems
• Two Dimensional Steady State Problems
• Three Dimensional Steady State Problems
• Transient One Dimensional Problems

Convection Heat Transfer

• Introduction
• Steady One Dimensional Convection
• Diffusion
• Unsteady One Dimensional Convection–Diffusion
• Unsteady Two Dimensional Convection–Diffusion

UNIT III: Incompressible Fluid Flow

• Introduction and Governing Equations
• Difficulties in Solving Navier-Stokes Equation
• Stream Function and Vorticity Method
• Inviscid Flow (Steady)
• Determination of Pressure for Viscous Flow

UNIT IV: Applications of Computational Fluid Dynamics

• Computer Graphics in CFD
• Future of CFD
• Enhancing the Design Process

• Automobile 
• Engine
• Industrial
• Civil
• Environmental