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Title
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Two Dimensional Analysis of Transient Heat Conduction in a Sector of a Hollow Circular Cylinder
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Date
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1963
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Index Abstract
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Coming Soon
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Photo Quality
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Not Needed
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Report Number
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ASD TDR 63-642
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Creator
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Torian, J. G.
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Bennett, G. K.
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Corporate Author
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Martin Company Aerosciences Research Laboratory
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Laboratory
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AF Flight Dynamics Laboratory
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Extent
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138
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Identifier
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AD0429077
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AD0429077
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Access Rights
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OTS
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Distribution Classification
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1
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Contract
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AF 33(657)-10315
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DoD Project
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1467
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DoD Task
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146702
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DTIC Record Exists
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No
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Distribution Change Authority Correspondence
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None
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Distribution Conflict
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No
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Abstract
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This study was undertaken to develop an exact mathematical formulation of transient heat conduction to reduce the amount of idealization required by currently employed finite difference techniques. A two-dimensional analysis is developed beginning with the differential equations for conduction of heat in a segment of a hollow cylinder in polar coordinates. An exact solution with constant thermal diffusivity and conditions of prescribed surface temperature, convection, and direct heat input is written in an infinite series of Bessel and trigonometric functions. Provisions are made for incorporating a coordinate varying, arbitrary, initial temperature distribution as well as coordinate and time varying arbitrary surface conditiions. A solution that incorporates the effect of temperature dependent thermophysical properties is developed by combining the exact solution with a finite difference approach. The solution has been programmed for an IBM 7090 or 7094 digital computer.The geometry of the problem is indicative of wing leading edges such as found on the ASSET vehicle. It is anticipated that this geometry will remain applicable to many future vehicles.
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Report Availability
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Full text available
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Date Issued
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1963-11
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Provenance
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Lockheed Martin Missiles & Fire Control
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Type
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report
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Format
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1 online resource
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Subject
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Transients
ASDTDR63-642.pdf