"The first chapter of this book proposes an analytical Fourier series solution to the equation for heat transfer by conduction in a spherical shell with an internal stone consisting of insulating material as a model for the kinetic of temperature in stone fruits both as a general solution and a mass average value. The chapter also considers an internal heat source linearly reliant on temperature. The second chapter focuses on the sensitivity of the numerical modeling technique for conjugate heat transferinvolving high speed compressible flow over a cylinder. The last chapter presents an overview of the fundamental solution (FS) based finite element method (FEM) and its application in heat conduction problems. First, basic formulations of FS-FEM are presented, such as the nonconforming intra-element field, auxiliary conforming frame field, modified variational principle, and stiffness equation. Then, the FS-FE formulation for heat conduction problems in cellular solids with circular holes, functionally graded materials, and natural-hemp-fiber-filled cement composites are described"--
Author(s): William Kelley
Series: Physics Research and Technology
Publisher: Nova Science Publishers
Year: 2021
Language: English
Pages: 180
City: New York
Contents
Preface
Chapter 1
Cooling Kinetics in Stone Fruits
Abstract
General Introduction: Some Concepts in Heat Transfer
Estimations and Applications
Cooling/Heating Times
Example I (from Reference [5])
Solution
Modelling Thermal kinetics in stone fruits
Mathematical Background
Estimations and Applications
Cooling/Heating Times
Thermal Flow
Indirect Measurement of Thermal Diffusivity and Surface Heat Transfer Coefficient
Example II (from Reference [13])
Experiment Description
Equivalent Sphere
Determination of Biot Number and Thermal Diffusivity
Asymptotic Aproximation to Dimensionless Slope ,,?-1.-2.
Maximum Values of , ?-?.
Example III. Prediction of Cooling Times in Example II
Modelling Thermal Kinetics Considering Internal Linearly Temperature Dependent Heat Generation
Mathematical Background
General Solution for Simple Geometries
Average Value
Estimations and Applications
Cooling/Heating Times
Displacement Correction
Summary of the Procedure
Example IV (from Reference [48])
Maximum Value at the Core
Threshold Biot Number
Estimation to ,??-?., ,?-?. and ,??-?ℎ.
Modelling Thermal Kinetics in Stone Fruits Considering Heat of Respiration Linearly Reliant on Temperature
Mathematical Background
Maximum Value at the Core
Threshold Biot Number
Estimations and Applications
Cooling/Heating Times
Displacement Correction
Other Indirect Determinations
Heat Transfer Coefficient
Heat Generation Constants
Indirect Measurement of Thermal Diffusivity and Surface Heat Transfer Coefficient
Example V
References
Chapter 2
Sensitivity of Numerical Modeling Technique for Conjugate Heat Transfer Involving High Speed Compressible Flow over a Cylinder
Abstract
Introduction
Methods
System Investigated
Governing Equations
Material Properties
Modeling Method Studies
Model Validation
Results
Modeling Method Variations
Case A: Time Discretization Method
Case B: Timestep
Case C: Upwinding
Case D: Gradient Calculations
Case E: Gradient Limiter
Case F: Compressibility Effects with Model
Case G: Standard- Turbulence Model
Case H: Non-Equilibrium Wall Treatment Turbulence Model.
Case I: Enhanced Wall Treatment – - Turbulence Model
Moving Cylinder Modeling Method
Velocity = 250 m/s
Velocity = 500 m/s
Velocity = 1000 m/s
Conclusion
References
Chapter 3
Advances in Heat Conduction Analysis with Fundamental Solution Based Finite Element Methods
Abstract
Introduction
Basic Formulation of FS-FEM
Basic Equation of Heat Conduction
Basic Formulation of FS-FEM
Nonconforming Intra-Element Field
Auxiliary Conforming Frame Field
Modified Variational Principle
Stiffness Equation
Recovery of Rigid-Body Motion
FS-FEM for Cellular Solids with Circular Holes
Fundamental Solutions
Fundamental Solution without Circular Hole
Fundamental Solution with a Centered Circular Hole
FS-FEM with Special Fundamental Solutions
FS-FEM for Graded Materials
Fundamental Solution in Functionally Graded Materials
Generation of Graded Element
Special n-Noded Voronoifiber/Matrix Element
Micromechanical Model of Clustered Composite
Special n-Sided Voronoi Fiber/Matrix Element
Results and Discussion
Validation of Element Property
Effect of Degree of Fiber Clustering
Effect of Global Fiber Volume Fraction
Conclusion and Future Developments
References
Index
