PC-Aided Numerical Heat Transfer and Convective Flow: 1st Edition (Hardback) book cover

PC-Aided Numerical Heat Transfer and Convective Flow

1st Edition

By Akira Nakayama

CRC Press

320 pages

Purchasing Options:$ = USD
Hardback: 9780849376566
pub: 1995-04-07

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PC-Aided Numerical Heat Transfer and Convective Flow is intended as a graduate course textbook for Mechanical and Chemical Engineering students as well as a reference book for practitioners interested in analytical and numerical treatments in the subject. The book is written so that the reader can use the enclosed diskette, with the aid of a personal computer, to systematically learn both analytical and numerical approaches associated with fluid flow and heat transfer without resorting to complex mathematical treatments.

This is the first book that not only describes solution methodologies but also provides complete programs ranging from SOLODE to SAINTS for integration of Navier-Stokes equation.

The book covers boundary layer flows to fully elliptic flows, laminar flows to turbulent flows, and free convection to forced convection. The student will learn about convection in porous media, a new field of rapid growth in contemporary heat transfer research. A basic knowledge of fluid mechanics and heat transfer is assumed. It is also assumed that the student knows the basics of Fortran and has access to a personal computer.The material can be presented in a one-semester course or with selective coverage in a seminar.

Table of Contents



PC-Aided Numerical Heat Transfer

Outline of the Book

Governing Equations for Flow and Heat Transfer

Transformation From the System Form to the Control Volume Form

Equation of Continuity

Momentum Equation

Energy Equation

Complete Set of Governing Equations and Their Simplified Form

General Transport Equation

Analytical Treatments for Boundary Layer Equations

Numerical Integration of Ordinary Differential Equations

Transient Conduction in a Semi-Infinite Solid

Boundary Layer Approximation for Heat and Fluid Flow

Forced Convection From Concentrated Heat Sources

Laminar Forced Convection From Plane Bodies

Laminar Forced Convection From Axisymmetric Bodies

Asymptotic Solutions for Forced Convection of Small and Large Prandtl Number Fluids

Integral Method for Laminar Forced Convection

Laminar Free Convection From Plane Bodies

Integral Method for Laminar Free Convection

Transport Equations for Modeling Turbulence

Reynolds-Averaged Navier-Stokes Equation and Energy Equation

Effective Viscosity Formulation and Mixing Length Models

Wall Laws for Turbulent Shear Flows

Turbulent Free jets

Reynolds Stress Transport Equation

Turbulence Kinetic Energy Transport Equation and Two-Equation Model

Low Reynolds Number Model and High Reynolds Number Model

Convective Flows in Porous Media

Darcy's Law

Modified Darcy's Laws

Volume-Averaged Navier-Stokes Equation

Volume-Averaged Energy Equation

Effects of Channeling and Thermal Dispersion

Magnitude Analysis on Boundary Layer Equations for Porous Media

Darcy-Forchheimer Boundary Layer Equations

Simple Flow Cases: Isothermal Flat Plates

Modified Peclet Number and Flow Regime Map

Unified Treatment for Darcy-Forchheimer Boundary Layer Equations

Forced Convection Regime

Darcy Free Convection Regime

Forchheimer Free Convection Regime

Intermediate Flow Regimes

Convective Flows Over an Impermeable Horizontal Surface

Buoyancy-Induced Flows From Concentrated Heat Sources

Boundary Layer Flow and Heat Transfer in Highly Porous Media

Description of Numerical Solution Procedure

Basic Concept of Discretization

Governing Equations and Auxiliary Relationships

General Form of Governing Equations: General Transport Equation

Coordinate System and Normalization

Discretization of General Transport Equation

Staggered Grid and Discretized Momentum Equations

Pressure Correction Procedure: SIMPLE

High Flux Modification: Hybrid Difference Scheme

Solution of Discretized Equations

PC Program "SAINTS" For Conduction and Convection Problems

Overall Aspect of the Program "SAINTS"

Classification of Boundaries

Specification of Non-Zero Boundary Values Along the Known-Velocity Boundary

Description of the Program "SAINTS"

Input Procedure: Input Data and Problem-Dependent Subprograms

Layout of Output

Illustrative Applications of "SAINTS"

Applications of the SAINTS Load Module "Wind Tunnel Simulator"

Illustrative Applications to Conduction Problems

Further Application of SAINTS to Complex Turbulent Flows

Applications to Convection Problems in Porous Media

Concluding Remarks


Important Dimensionless Numbers

Potential Flow Analysis Based on Source-and-Sink Method

Listing of Program "SAINTS"

Listing of Problem Dependent Subroutine "USERIN"

Input Data for Forced Convection in a Tube

Sample Output of Program "SAINTS"

Program Instructions



Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / Dynamics / Thermodynamics