Accession Number:

ADA199197

Title:

Applications of an Exponential Finite Difference Technique

Descriptive Note:

Technical memo rept.

Corporate Author:

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION CLEVELAND OH LEWIS RESEARCH CENTER

Personal Author(s):

• Handschuh, Robert F.
• Keith, Jr, Theo G.

Report Date:

1988-07-01

Pagination or Media Count:

28.0

Abstract:

An exponential finite difference scheme first presented by Bhattacharya for one dimensional unsteady heat conduction problems in Cartesian coordinates has been extended. The finite difference algorithm developed was used to solve the unsteady diffusion equation in one-dimensional cylindrical coordinates and was applied to two- and three-dimensional conduction problems in Cartesian coordinates. Heat conduction involving variable thermal conductivity was also investigated. The method was used to solve nonlinear partial differential equations in one Burgers equation and two- boundary layer equations dimensional Cartesian coordinates. Predicted results are compared to exact solutions where available or to results obtained by other numerical methods.

Descriptors:

• *FINITE DIFFERENCE THEORY
• *CONDUCTION(HEAT TRANSFER)
• ALGORITHMS
• ONE DIMENSIONAL
• BOUNDARY LAYER
• CYLINDRICAL BODIES
• THERMAL CONDUCTIVITY
• UNSTEADY FLOW
• CARTESIAN COORDINATES
• EXPONENTIAL FUNCTIONS
• NUMERICAL METHODS AND PROCEDURES
• PARTIAL DIFFERENTIAL EQUATIONS
• COORDINATES
• VARIABLES
• THREE DIMENSIONAL
• NONLINEAR DIFFERENTIAL EQUATIONS

Subject Categories:

• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE