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COMPUTATIONAL FLUID DYNAMICS
(ELECTIVE – I)
UNIT-I
Elementary details in numerical Techniques: Number system and errors, Representation of integers, Fractions, Floating point Arithmetic, loss of significance and error propagation, condition and instability, computational methods for error estimation, Convergence of Sequences.
UNIT – II
Applied Numerical Methods: Solution of a system of simultaneous Linear Algebraic Equations, iterative
schemes of Matrix Inversion, Direct Methods for Matrix inversion, Direct Methods for banded matrices.
UNIT - III
Finite Difference Applications in Heat conduction and Convention – Heat conduction, steady heat conduction
in a rectangular geometry, transient heat conduction, finite difference application in convective heat
transfer, closure.
UNIT - IV
Finite Differences, discretization, consistency, stability, and Fundamentals of fluid flow modeling:
Introduction, elementary finite difference quotients, implementation aspects of finite-difference equations,
consistency, explicit and implicit methods.
UNIT - V
Introduction to first order wave equation, stability of hyperbolic and elliptic equations, fundamentals of fluid flow modeling, conservative property, the upwind scheme.
UNIT - VI
Review of Equations Governing Fluid Flow and Heat Transfer: Introduction, conservation of mass, Newton’s second law of motion, expanded forms of Navier-stokes equations, conservation of energy principle, special forms of the Navier-stokes equations.
UNIT - VII
Steady flow, dimensionless form of Momentum and Energy equations, Stokes equation, conservative
body force fields, stream function - Vorticity formulation.
UNIT -VIII
Finite Volume Method: Approximation of surface integrals, volume integrals, interpolation and differentiation practices, Upwind interpolation, Linear interpolation and Quadratic interpolation.
TEXT BOOK :
1. Numerical heat transfer and fluid flow / Suhas V. Patankar- Butter-worth Publishers
2. Computational fluid dynamics - Basics with applications - John. D. Anderson / Mc Graw Hill.
REFERENCES :
1. Computational Fluid Flow and Heat Transfer/ Niyogi, Pearson Publications
2. Fundamentals of Computational Fluid Dynamics – Tapan K. Sengupta / Universities Press
For more details, visit Http://www.jntu.ac.in/
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