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Ellipse
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Hyperbola
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Application of Derivatives
Partial Derivatives
Indefinite Integrals
Partial Fractions
Trigonometric Functions
Definite Integrals
Ordinary Differential Equations
General Terminology
First Order DE
Second Order Homogeneous DE
Finding DE from Solution
Applying Boundary Conditions
Laplace Transform
Linear Algebra
Types of Matrices
Determinant of a Matrix
Matrix Operations
Unit Vector
Addition and Subtraction of Vectors
Addition/Subtraction of Vectors
Dot Product
Cross Product
The Del Operator
Gradient
Divergence
Curl
Numerical Methods
Newtons Method of Root Extraction
Newtons Method of Minimization
Forward Rectangular Rule
Trapezoidal Rule
Simpsons Rule
Taylors and MacLaurins Series
Algorithm and Logic Development
Flowchart
Key Terms in Flowchart and Programming
Pseudocode
Probability and Statistics
Probability Distributions
Probability - Basic Concepts
Binomial Distribution
Normal Distribution
t-distribution
Chi-squared Distribution
Measures of Central Tendencies and Dispersions
Mean
Median
Mode
Standard Deviation and Variance
Expected Value
PDF and CDF
Expected Value of a Discrete Function
Expected Value of a Continuous Function
Regression, Curve Fitting and Goodness of Fit
Linear Curve Fitting
Coefficient of Correlation
Ethics and Professional Practice
Codes of Ethics
NCEES Model Law
Professional and Technical Societies
Ethical and Legal Considerations
Public Health, Safety and Welfare
Public Health, Safety and Welfare in Engineering
Intellectual Property
Introduction to Intellectual Property
Patents and Copyrights
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Trade Secrets
Societal Considerations
Life Cycle Assessment (LCA)
Sustainability
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Time Value of Money
Discounted Cash Flow Factors
Net Present Value
Inflation
Cost Types and Breakdowns
Cost Types
Economic Analyses
Payback Period Analyses
Cost-Benefit Analysis
Break-Even Analysis
Overhead Analysis
Electricity and Magnetism
Electrical Fundamentals
Coulomb's Law
Electric Field and Electric Potential
Electric Current
Resistance
Electric Power
Magnetostatics
DC Circuit Analysis
Kirchhoff's Current Law
Kirchhoff's Voltage Law
Resistances in Series
Resistances in Parallel
AC Circuit Analysis
AC Impedance
Average Value
Effective or RMS value
Motors and Generators
AC Electric Motor
DC Electric Motor
Statics
Resultants of Force Systems
Resolution of Forces
Resultant of Forces
Moment of a Force
Couple
Concurrent Force Systems
Principle of Transmissibility
Types of Loads
Free Body Diagrams
Equilibrium of Rigid Bodies
Types of Supports
Conditions for Static Equilibrium
Lami's Theorem
Principle of Virtual Work
Frames and Trusses
Method of Joints
Method of Section
Centroids and Moment of Inertia
Centroid of Some Basic Shapes
Centroid of a Composite Area
Area Moments of inertia
Perpendicular Axis Theorem
Parallel Axis Theorem
Static Friction
Static Friction
Dynamics, Kinematics and Vibrations
Kinematics of Particles
Instantaneous Velocity and Acceleration
Tangential and Normal Component of Acceleration
Constant Acceleration Motion
Variable Acceleration Motion
Relative Motion
Uniform Circular Motion
Projectile Motion
Kinetic Friction
Laws of Kinetic Friction
Motion Along an Inclined Plane
Newton's Second Law for Particles
One-Dimensional Motion of a Particle
Work-Energy of Particles
Kinetic Energy
Potential Energy
Work
Power and Efficiency
Law of Conservation of Energy
Impulse-Momentum of Particles
Linear and Angular Momentum
Impulse-Momentum Equation
Impact
Kinematics of Rigid Bodies
General Rotation of a Rigid Body
Rotation of a Rigid Body under Constant Acceleration
Rotation of a Rigid Body under Variable Acceleration
Instantaneous Center of Rotation
Kennedy's Rule
Kinematics of Mechanisms
Terminology of Mechanisms
Newton's Second Law for Rigid Bodies
One-Dimensional Motion of a Rigid Body
Moment of Inertia of a Point Mass
Mass Moment of Inertia of a Rigid Body
Mass Radius of Gyration
Parallel Axis Theorem
Work-Energy of Rigid Bodies
Kinetic Energy of a Rigid Body
Impulse-Momentum of Rigid Bodies
Principle of Angular Impulse and Momentum
Conservation of Angular Momentum
Free and Forced Vibrations
Free Vibrations
Torsional Vibrations
Forced Vibrations
Mechanics of Materials
Shear and Moment Diagrams
Some Basic Definitions
Some Basic Rules and Observations
Procedure to Draw Shear and Moment Diagrams
Simply Supported Beam with a Point Load at the Center
Simply Supported Beam with a Point Load Anywhere
Simply Supported Beam with Uniformly Distributed Load
Stress Transformations and Mohr's Circle
Principal Planes and Principal Stresses
Mohr’s Circle
Stress and Strain Caused by Axial Loads
Stress
Strain
Poisson's Ratio
Elastic Constants
Factor of Safety
Stress and Strain Caused by Bending Loads
Bending Equation
Neutral Axis
Modulus of Section
Stress and Strain Caused by Torsional Loads
Torsional Shear Stress
Stress and Strain Caused by Shear
Shear Stresses in Beams
Stress and Strain Caused by Temperature Changes
Thermal Expansion of Metals
Combined Loading
Material Subjected to Combined Direct & Shear Stress
Material Subjected to Combined Axial & Bending Stresses
Deformations
Elastic and Plastic Deformation
Deflection of Beams
Beam Deflection Formulae
Column Buckling
Column Analysis
Equivalent Length
Statically Indeterminate Systems
Concepts of Determinate and Indeterminate Structures
Material Properties and Processing
Properties
Mechanical Properties of Material
Electrical Properties of Material
Thermal Properties of Material
Stress-Strain Diagrams
Stress-Strain Diagram
True Vs. Engineering Stress-Strain Curve
Ferrous Metals
Typical Ferrous Metals
Nonferrous Metals
Advantages of Non-Ferrous Metals
Non Ferrous Metals
Engineered Materials
Elastomers and Fibres
Plastics
Ceramics
Glass
Manufacturing Processes
Classification of Manufacturing Processes
Casting
Hot Working
Cold working
Drawing
Blanking and Punching
Forging
Rolling
Bending
Powder Metallurgy
CNC
Some Non-Traditional Machining Processes
Phase Diagrams, Phase Transformation and Heat Treating
Phase Diagrams
Critical Point
Triple Point
Iron-Iron Carbide Diagram
Important Points in Iron-Iron Carbide Phase Diagram
Allotropes of iron
Lever Rule
Some Basic Terminology
Steel Heat Treatment Terms
Steps in Heat Treatment
Corrosion Mechanisms and Control
Corrosion Terminology
Corrosion Mechanism
EMF Series
Galvanic Series
Corrosion Control
Failure Mechanisms
Creep
Stages of Creep
Fatigue
Stages of Fatigue
Crack Propagation in Ductile Materials
Crack Propagation in Brittle Materials
Fluid Mechanics
Fluid Properties
Common Fluid Properties
Newton's Law of Viscosity
Surface Tension and Capillarity
Fluid Statics
Pascal's Law
Pressure Measurement
Hydrostatic Forces on Submerged Surfaces
Archimedes Principle and Buoyancy
Energy, Impulse, and Momentum
Continuity Equation
Momentum Equation
Internal Flow
Reynold’s Number
Losses in Pipes
Pipes Connected in Series
Pipes Connected in Parallel
Friction Factor
Noncircular Ducts
External Flow
Characteristics of External Flow
Compressible Flow
Mach Number
Isentropic Flow Relationships
Power and Efficiency
Power and Efficiency Definitions
Performance curves
Pump Performance Curves
Scaling Laws for Fans, Pumps and Compressors
Pumps
Centrifugal Pumps in Series
Centrifugal Pumps in Parallel
Efficiency of a Centrifugal Pump
Net Positive Suction Head
Pump Work Calculations
Specific Speed of a Pump
Turbines
Radial Flow Turbines
Axial Flow Turbines
Compounding in Steam Turbines
Reciprocating Compressors
Centrifugal Compressor
Volumetric Efficiency
Clearance Volume
Intercooling
Thermodynamics
Properties of Ideal Gases and Pure Substances
Extensive and Intensive Properties
Ideal Gas Laws
Specific Heats
Enthalpy
Entropy
Gibbs Free Energy
Helmholtz Free Energy
Properties of Pure Substances
Properties of Steam
Energy Transfers
Introduction to Energy Transfer
Laws of Thermodynamics
Introduction to Thermodynamic Laws
Zeroth Law of Thermodynamics
First Law of Thermodynamics
Second Law of Thermodynamics
Third Law of Thermodynamics
Processes
Thermodynamic Processes
Isochoric Process- Constant Volume
Isobaric Process- Constant Pressure
Adiabatic Process
Polytropic Process
Cyclic Process
Efficiency in Cyclic Processes
Performance of Components
Coefficient of Performance
Power Cycles
Introduction to Power Cycles
Carnot Cycle
Rankine Cycle
Otto Cycle
Refrigeration and Heat Pump Cycles
Stages of Refrigeration Cycle
Nonreacting Mixtures of Gases
Mass and Mole Fractions
Dalton's Law of Partial Pressures
Psychrometrics
Elements of Psychrometric Chart
Reading a Psychrometric Chart
Heating, Ventilation, and Air-Conditioning (HVAC) Processes
Basic HVAC Processes
Combustion and Combustion Products
Combustion of Hydrocarbon in Pure Oxygen
Combustion in Air
Combustion in Excess Air
Stoichiometric Air Fuel (A/F) Ratio
Incomplete Combustion
Enthalpy of Formation
Heat Transfer
Conduction
Fourier’s Law of Heat Conduction
Conduction through a Plane Wall
Conduction through a Cylindrical Wall
Conduction through a Sphere
Thermal Resistance of Various Objects
Composite Plane Wall
Convection
Newton's Law of Cooling
Types of Convection
Critical Radius of Insulation
Heat Generation in Solids
Dimensionless Numbers
Radiation
Perfectly Black Body
Stefan-Boltzmann Law
Kirchhoff's Law of Radiation
Shape Factors
Net Energy Exchange by Radiation between Two Bodies
Transient Processes
Lumped System Analysis
Fins
Heat Exchangers
Logarithmic Mean Temperature Difference (LMTD)
Heat Exchanger Effectiveness
NTU
Effectiveness-NTU Relation
Measurement, Instrumentation and Controls
Sensors and Transducers
LVDT
RTD
Thermocouple
Strain Gage
Wheatstone Bridge
Piezoelectric Transducers
Pressure Sensors
pH Sensor
Control Systems
General Layout of a Feedback Control System
Block Diagram Reduction Techniques
Dynamic System Response
Dynamic System Response Terminology
Time Response of a First Order System
Time Response of a Second Order Underdamped System
Steady State Errors for Various Types of Systems
Measurement Uncertainty
Kline-McClintock Equation
Mechanical Design and Analysis
Stress Analysis of Machine Elements
Basic Stress Concepts and Types
Strain-Design
Factor of Safety
Failure Theories and Analysis
Failure Theories for Brittle Materials
Failure Theories for Ductile Materials
Variable Loading Failure Theories
Deformation and Stiffness
Stiffness
Elastic Moduli
Elastic and Plastic Deformation
Springs
Types of Springs
Spring Terminology
Types of Compression Springs
Stresses in Springs
Pressure Vessels and Piping
Thin Cylinders
Thick Cylinders
Bearings
Types of Bearings
Basic Load Rating
Equivalent Radial Load
Power Screws
Power Screw Terminology
Power Screw Calculations
Power Transmission
Shaft and Axles
Gearing
Gear Trains
Loading on Gears
Joining Methods
Types of Joining Methods
Flanged Joints
Riveted Joints
Failure of Riveted Joints
Comparison between Welding and Riveting
Cotter Joint for Circular rods (Socket and spigot)
Manufacturability
Terminology of Limit Systems
Types of Fits
Feature Control Frame
Basis of Fits
Limit Gauges
Quality and Reliability
Reliability of an Assembly
Components
Components of a Hydraulic System
Components of a Pneumatic System
Valves in Pneumatic and Hydraulic Circuits
Electromechanical Components
Engineering drawing interpretations and GD & T
Engineering Drawing Interpretation
Geometric Dimensioning and Tolerancing (GD&T)
Other Discipline
Mathematics
Analytic Geometry and Trigonometry
Straight Line
Conics
Circle
Ellipse
Parabola
Hyperbola
Distance Formula
Trigonometry
Differential Equations
General Terminology
First Order DE
Second Order Homogeneous DE
Finding DE from Solution
Applying Boundary Conditions
Laplace Transform
Numerical Methods
Newtons Method of Root Extraction
Newtons Method of Minimization
Forward Rectangular Rule
Trapezoidal Rule
Simpsons Rule
Taylors and MacLaurins Series
Linear Algebra
Types of Matrices
Determinant of a Matrix
Matrix Operations
Unit Vector
Addition and Subtraction of Vectors
Dot Product
Cross Product
The Del Operator
Gradient
Divergence
Curl
Single-variable Calculus
Limits
Derivatives
Application of Derivatives
Partial Derivatives
Indefinite Integrals
Partial Fractions
Trigonometric Functions
Definite Integrals
Probability and Statistics
Estimation
Confidence Intervals
Expected Value and Expected Error in Decision Making
PDF and CDF
Expected Value of a Discrete Function
Expected Value of a Continuous Function
Sample Distributions and Sizes
Probability - Basic Concepts
Binomial Distribution
Normal Distribution
t-distribution
Chi-squared Distribution
Goodness of Fit
Linear Curve Fitting
Coefficient of Correlation
Chemistry
Oxidation and Reduction
Oxidation and Reduction Reactions
Corrosion Mechanisms and Control
Corrosion Terminology
Corrosion Mechanism
EMF Series
Galvanic Series
Corrosion Control
Acids and Bases
pH
Buffers
Chemical Reactions
Stoichiometry
Equilibrium
Bioconversion
Instrumentation and Controls
Sensors
LVDT
RTD
Thermocouple
Strain Gage
Wheatstone Bridge
Piezoelectric Transducers
Pressure Sensors
pH Sensor
Data Acquisition
Logging
Sampling Rate and Range- Aliasing
Sampling Rate and Range- Nyquist Theorem
Filtering
Amplification
Signal Interface
Signal Processing
Analog-to-Digital [A/D] Converters
Digital-to-Analog [D/A] Converters
Logic Diagrams
NOT, OR, AND Gates
NOR, NAND Gates
EXOR, EXNOR Gates
Time Delays
Advanced Logic Devices
Engineering Ethics and Societal Impacts
Codes of Ethics
NCEES Model Law
Professional and Technical Societies
Ethical and Legal Considerations
Public Health, Safety and Welfare
Public Health, Safety and Welfare in Engineering
Societal Considerations
Life Cycle Assessment (LCA)
Sustainability
Safety, Health, and Environment
Industrial Hygiene
Carcinogens
Toxicology
Exposure Limits
Radiation Exposure
Biohazards
Half-life
Basic Safety Equipment
Pressure-Relief Valves
Emergency Shutoffs
Fire Prevention and Control
Personal Protective Equipment
Gas Detection and Monitoring
Gas Detection and Monitoring
Electrical Safety
Electromechanical Components
Effect of Electrical Current on Human Body
Confined Space Entry and Ventilation Rates
Confined Space Entry
Ventilation Rates
Hazard Communications
SDS
Proper Labeling
Concentrations
Fire Ratings
Safety Equipment
Engineering Economics
Time Value of Money
Discounted Cash Flow Factors
Net Present Value
Inflation
Cost Types and Breakdowns
Cost Types
Economic Analyses
Payback Period Analyses
Cost-Benefit Analysis
Break-Even Analysis
Overhead Analysis
Uncertainty
Expected Value and Risk
Project Selection
Comparison of Projects
Lease vs Buy vs Make
Depreciation
Discounted Cash Flow Factors
Decision Trees
Statics
Resultants of Force Systems
Resolution of Forces
Resultant of Forces
Moment of a Force
Couple
Concurrent Force Systems
Principle of Transmissibility
Types of Loads
Free Body Diagrams
Equilibrium of Rigid Bodies
Types of Supports
Conditions for Static Equilibrium
Lami’s Theorem
Principle of Virtual Work
Frames and Trusses
Method of Joints
Method of Section
Centroids and Moment of Inertia
Centroid of Some Basic Shapes
Centroid of a Composite Area
Area Moments of inertia
Perpendicular Axis Theorem
Parallel Axis Theorem
Static Friction
Static Friction
Weight and Mass Computations
Conversion between Different Units
Dynamics
Kinematics of Particles
Instantaneous Velocity and Acceleration
Tangential and Normal Component of Acceleration
Constant Acceleration Motion
Variable Acceleration Motion
Relative Motion
Uniform Circular Motion
Projectile Motion
Kinetic Friction
Laws of Kinetic Friction
Motion Along an Inclined Plane
Newton’s Second Law for Particles
One-Dimensional Motion of a Particle
Work-Energy of Particles
Kinetic Energy
Potential Energy
>Work
Power and Efficiency
Law of Conservation of Energy
Impulse-Momentum of Particles
Linear and Angular Momentum
Impulse-Momentum Equation
Impact
Kinematics of Rigid Bodies
General Rotation of a Rigid Body
Rotation of a Rigid Body under Constant Acceleration
Rotation of a Rigid Body under Variable Acceleration
Instantaneous Center of Rotation
Kennedy's Rule
Newton's Second Law for Rigid Bodies
One-Dimensional Motion of a Rigid Body
Moment of Inertia of a Point Mass
Mass Moment of Inertia of a Rigid Body
Mass Radius of Gyration
Parallel Axis Theorem- Dynamics
Work-Energy of Rigid Bodies
Kinetic Energy of a Rigid Body
Impulse-Momentum of Rigid Bodies
Principle of Angular Impulse and Momentum
Conservation of Angular Momentum
Free and Forced Vibrations
Free Vibrations
Torsional Vibrations
Forced Vibrations
Strength of Materials
Shear and Moment Diagrams
Some Basic Definitions
Some Basic Rules and Observations
Procedure to Draw Shear and Moment Diagrams
Simply Supported Beam with a Point Load at the Center
Simply Supported Beam with a Point Load Anywhere
Simply Supported Beam with Uniformly Distributed Load
Stress Transformations and Mohr's Circle
Principal Planes and Principal Stresses
Mohr's Circle
Stress and Strain Caused by Axial Loads
Stress
Strain
Poisson's Ratio
Elastic Constants
Factor of Safety
Stress and Strain Caused by Bending Loads
Bending Equation
Neutral Axis
Modulus of Section
Stress and Strain Caused by Torsional Loads
Torsional Shear Stress
Stress and Strain Caused by Shear
Shear Stresses in Beams
Stress and Strain Caused by Temperature Changes
Thermal Expansion of Metals
Combined Loading
Material Subjected to Combined Direct & Shear Stress
Material Subjected to Combined Axial & Bending Stresses
Deformations
Elastic and Plastic Deformation
Deflection of Beams
Beam Deflection Formulae
Column Buckling
Column Analysis
Equivalent Length
Failure Mechanisms
Creep
Stages of Creep
Fatigue
Stages of Fatigue
Crack propagation in Ductile Materials
Crack Propagation in Brittle Materials
Failure Theories and Analysis
Failure Theories for Brittle Materials
Failure Theories for Ductile Materials
Variable Loading Failure Theories
Materials
Properties
Mechanical Properties of Material
Electrical Properties of Material
Thermal Properties of Material
Stress-Strain Diagrams
Stress-Strain Diagram
True Vs. Engineering Stress-Strain Curve
Ferrous Metals
Typical Ferrous Metals
Nonferrous Metals
Advantages of Non-Ferrous Metals
Non Ferrous Metals
Engineered Materials
Elastomers and Fibres
Plastics
Ceramics
Glass
Manufacturing Processes
Classification of Manufacturing Processes
Casting
Hot Working
Cold working
Drawing
Blanking and Punching
Forging
Rolling
Bending
Powder Metallurgy
CNC
Some Non-Traditional Machining Processes
Phase Diagrams, Phase Transformation and Heat Treating
Phase Diagrams
Critical Point
Triple Point
Iron-Iron Carbide Diagram
Important Points in Iron-Iron Carbide Phase Diagram
Allotropes of iron
Lever Rule
Some Basic Terminology
Steel Heat Treatment Terms
Steps in Heat Treatment
Fluid Mechanics
Fluid Properties
Common Fluid Properties
Newton's Law of Viscosity
Surface Tension and Capillarity
Dimensionless Numbers
Dimensionless Numbers
Fluid Statics
Pascal's Law
Pressure Measurement
Hydrostatic Forces on Submerged Surfaces
Archimedes Principle and Buoyancy
Energy, Impulse, and Momentum
Continuity Equation
Momentum Equation
Internal Flow
Reynold's Number
Losses in Pipes
Pipes Connected in Series
Pipes Connected in Parallel
Friction Factor
Noncircular Ducts
External Flow
Characteristics of External Flow
Compressible Flow
Mach Number
Isentropic Flow Relationships
Power and Efficiency
Power and Efficiency Definitions
Performance curves
Pump Performance Curves
Scaling Laws for Fans, Pumps and Compressors
Pumps
Centrifugal Pumps in Series
Centrifugal Pumps in Parallel
Efficiency of a Centrifugal Pump
Net Positive Suction Head
Pump Work Calculations
Specific Speed of a Pump
Turbines
Radial Flow Turbines
Axial Flow Turbines
Compounding in Steam Turbines
Reciprocating Compressors
Centrifugal Compressor
Volumetric Efficiency
Clearance Volume
Intercooling
Real Gas Law
Van Der Waal's Equation
z factor
Open-channel Flow
Manning's Equation
Drag
Basic Electrical Engineering
Electrical Fundamentals
Coulomb's Law
Electric Field and Electric Potential
Electric Current
Resistance
Electric Power
Magnetostatics
DC Circuit Analysis
Kirchhoff's Current Law
Kirchhoff's Voltage Law
Resistances in Series
Resistances in Parallel
AC Circuit Analysis
AC Impedance
Average Value
Effective or RMS value
Motors and Generators
AC Electric Motor
DC Electric Motor
Measuring Devices
Voltmeter
Ammeter
Wattmeter
Three-phase Power
Motor Efficiency
Balanced Loads
Power Equation
Thermodynamics and Heat Transfer
Properties of Ideal Gases and Pure Substances
Extensive and Intensive Properties
Ideal Gas Laws
Specific Heats
Enthalpy
Entropy
Gibbs Free Energy
Helmholtz Free Energy
Properties of Pure Substances
Properties of Steam
Energy Transfers
Introduction to Energy Transfer
Laws of Thermodynamics
Introduction to Thermodynamic Laws
Zeroth Law of Thermodynamics
First Law of Thermodynamics
Second Law of Thermodynamics
Third Law of Thermodynamics
Processes
Thermodynamic Processes
Isochoric Process- Constant Volume
Isobaric Process- Constant Pressure
Adiabatic Process
Polytropic Process
Cyclic Process
Efficiency in Cyclic Processes
Performance of Components
Coefficient of Performance
Power Cycles
Introduction to Power Cycles
Carnot Cycle
Rankine Cycle
Otto Cycle
Refrigeration and Heat Pump Cycles
Stages of Refrigeration Cycle
Nonreacting Mixtures of Gases
Mass and Mole Fractions
Dalton's Law of Partial Pressures
Psychrometrics
Elements of Psychrometric Chart
Reading a Psychrometric Chart
Heating, Ventilation, and Air-Conditioning (HVAC) Processes
Basic HVAC Processes
Combustion and Combustion Products
Combustion of Hydrocarbon in Pure Oxygen
Combustion in Air
Combustion in Excess Air
Stoichiometric Air Fuel (A/F) Ratio
Incomplete Combustion
Enthalpy of Formation
Conduction
Fourier's Law of Heat Conduction
Conduction through a Plane Wall
Conduction through a Cylindrical Wall
Conduction through a Sphere
Thermal Resistance of Various Objects
Composite Plane Wall
Convection
Newton's Law of Cooling
Types of Convection
Critical Radius of Insulation
Heat Generation in Solids
Dimensionless Numbers in Convection
Radiation
Perfectly Black Body
Stefan-Boltzmann Law
Kirchhoff's Law of Radiation
Shape Factors
Net Energy Exchange by Radiation between Two Bodies
Transient Processes
Lumped System Analysis
Fins
Heat Exchangers
Logarithmic Mean Temperature Difference (LMTD)
Heat Exchanger Effectiveness
NTU
Effectiveness-NTU Relation
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Expected Value and Expected Error in Decision Making
