Maple and Mathematica Resources for ME353 - Heat Transfer I

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Introduction to Maple

Examples to Illustrate Commonly Used MAPLE Commands
Some Useful ODE Solutions Available In MAPLE
Numerical Solutions for Roots of Characteristic Equations
Fitting a Correlation Equation to Data for Thermal Conductivity of Air Versus Temperature

Example Problems

Example 1.5 from Incropera and DeWitt, 4th ed.
Example 1.6 from Incropera and DeWitt, 4th ed.
Example 3.10 from Incropera and DeWitt, 4th ed.
Example 5.3 from Incropera and DeWitt, 4th ed.
Example 5.4 from Incropera and DeWitt, 4th ed.
Example 5.5 from Incropera and DeWitt, 4th ed.
Example 5.6 from Incropera and DeWitt, 4th ed.

Conduction Problems

Thermal Resistance and Shape Factor for Plane Walls
Total Thermal Resistance of Plane Wall with Convective Heating and Cooling
Derivation of Laplace Equation Within a Cylindrical Shell
Total Thermal Resistance of Cylindrical Shell with Convective Heating and Cooling
Derivation of the Conduction Equation in Cartesian Coordinates
Derivation of the Conduction Equation in Polar Coordinates
Ordinary Differential Equations and their Solutions
Solutions of Ordinary Differential Equations
Solution of Poisson Equation for the Plate With Convective Cooling at the Boundaries
Thermal Resistance of Plane Wall, Cylindrical and Spherical Shells: Physical Approach
Solution of Poisson Equation for Cylindrical Shell with Isothermal Boundaries
Solution of Poisson Equation for Cylindrical Shell with Adiabatic Outer and Convective Inner Boundaries
Solution of Poisson Equation for Spherical Shell with Isothermal Boundaries
Solution of Poisson Equation for Spherical Shell with Adiabatic Outer and Convective Inner Boundaries

Halfspace Solutions

Solutions of the Diffusion Equation in the Halfspace
Inverse Error and Complementary Error Function

Transient Conduction and First Term Approximations

Dimensionless Temperature Distribution Inside a Plate
First Term Approximate Solution for the Plate
Dimensionless Temperature Distribution Inside a Sphere
First Term Approximate Solution for the Sphere
Dimensionless Temperature Distribution Inside an Infinite Circular Cylinder
Dimensionless Temperature Distribution Inside a Finite Circular Cylinder
Transient Conduction Inside a Cuboid
Lumped Capacitance Model: Analytical and Numerical Solutions

Fins

Solution of a Dimensionless Second-Order Differential Equation With Boundary Conditions of the Third Kind
Derivation of the General Fin Equation for Longitudinal Fins
Calculation of Fin Efficiencies
Fin Efficiency of Radial Fins With Constant Thickness, Perfect Contact at the Base and Adiabatic End

Convection

Forced Internal Convection Inside a Circular Tube
Laminar, forced flow of a Constant Property Newtonian Fluid Past a Smooth, Flat Plate
Turbulent Flow and Heat Transfer From a Smooth, Flat, Isothermal Plate

Radiation

Radiation Heat Transfer Coefficient for Black-body Radiation
Net Radiation Heat Transfer Between Two Isothermal Gray Surfaces
Net Radiation Heat Transfer Between Two Isothermal Gray Surfaces Separated by a Gray Radiation Shield
Calculation of Various View Factors
Calculation of View Factors for Two-Dimensional Geometries