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عنوان انگلیسی مقاله:

Unsteady State Heat Transfer






 

فهرست مطالب

Unsteady State Heat Transfer

Transient Heat Conduction

Example: Point Thermal Explosion

One-Dimensional Problems

Characteristic Length

First Problem: Slab/Convection 

First Problem Formulation: Slab/Convection 

Second Problem Formulation: Solid Cylinder/Convection 

Third Problem Formulation: Sphere/Convection 

Biot number

Fourier number

Lumped System Analysis

Exact Solution of One-Dimensional Transient Conduction Problem

Separation of Variables

Approximate Analytical Solutions

Useful Tables

Approximate Analytical Solutions

Graphical Solutions : Heisler Charts

Useful Relationship





بخشی از مقاله

Graphical Solutions : Heisler Charts

The solutions obtained for 1D non homogeneous problems with Neumann boundary conditions in Cartesian coordinate systems using the method of separation of variables have been collected and assembled in the form of transient temperature nomographs by Heisler. The given charts are a very useful baseline against, which to validate one’s own analytical or numerical computations.

Indeed, the determination of the constants A1 and l1 usually requires interpolation. For those who prefer reading charts to interpolating, these relations are plotted and the one-term approximation solutions are presented in graphical form, known as the transient temperature charts. 

The transient temperature charts shown in next slides for a large plane wall, long cylinder, and sphere were presented by M. P. Heisler in 1947 and are called Heisler charts.

There are three charts associated with each geometry: the first chart is to determine the temperature T0 at the center of the geometry at a given time t. The second chart is to determine the temperature at other locations at the same time in terms of T0. The third chart is to determine

the total amount of heat transfer up to the time t. These plots are valid for t > 0.2.







 

کلمات کلیدی: 

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