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
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
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
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"