A general class of unsteady heat flow problems in a finite composite hollow circular cylinder

Ölçer, N. Y.

doi:10.1090/qam/99847

Cited by 18 publications

(2 citation statements)

References 6 publications

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“…Olcer, in a series of papers [5][6][7], considers the problem of heat flow in a finite composite hollow circular cylinder. Solutions are obtained in a very general form for all conceivable boundary and initial conditions, although no solutions are explicitly constructed.…”

Section: Introductionmentioning

confidence: 99%

The transient temperature field in a composite semi-space resulting from an incident heat flux

Grimado¹

1974

Quart. Appl. Math.

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Section: Introductionmentioning

confidence: 99%

The transient temperature field in a composite semi-space resulting from an incident heat flux

Grimado¹

1974

Quart. Appl. Math.

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“…Kumar [4] considered the heat flow in a finite composite cylinder subjected to a temperature boundary condition used to simulate liquid-fuel rocket environments. Olcer, in a series of papers [5][6][7], considers the problem of heat flow in a finite composite hollow circular cylinder. Solutions are obtained in a very general form for all conceivable boundary and initial conditions, although no solutions are explicitly constructed.…”

Section: Introductionmentioning

confidence: 99%

Untitled

1974

Quart. Appl. Math.

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Unsteady mass transfer in a long composite cylinder with interfacial resistances

Stevenson

1974

AIChE Journal

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A solution is given for unsteady state concentration profiles in an infinitely long composite cylinder resulting from a step-change in concentration in a large reservoir surrounding the cylinder. The composite cylinder consists of an inner cylinder with diffusivity D1 surrounded by a permeable tube with aliffusivity Dz and has interfacial mass transfer resistapces at the cylinder-tube and tube-reservoir interfaces. Numerical values are given for the first eight roots and various coefficients of the solution for physical properties typical of tubular (hollow fiber) membranes. These results can be used in the analysis of data from unsteady state mass transfer experiments to determine the permeability of homogeneous tubular membranes. A simple, approximate method for data analysis is suggested for the rapid estimation of the permeability of both homogeneous and asymmetric (skinned) tubular membranes. SCOPEAlthough permeability measurements are routinely made for flat membaanes, no convenient and accurate method is available at present for making these measurements for small tubular (hollow fiber) membranes. I n this paper a method based on an unsteady state diffusion experiment is proposed for measuring the permeability of tubular membranes. The objective of this paper is to present the mathematical analysis which is necessary for the interpretation of the experimental results. A detailed description of the elrperimental method and experimental data will be presented in a subsequent paper.Small tubular membranes are finding increasing use in mass transfer devices such as the artificial kidney and are now being considered for novel applications such as reaction vessels for enzyme-catalyzed reactions. A convenient and accurate method for measuring the permeability of these membranes will be useful for modeling membrane behavior, evaluating candidate membranes for specific applications, optimizing membrane composition and processing conditions, and maintaining quality control during manufacturing. The analysis presented here can easily be applied to the analogous heat transfer problem

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A general class of unsteady heat flow problems in a finite composite hollow circular cylinder

Cited by 18 publications

References 6 publications

The transient temperature field in a composite semi-space resulting from an incident heat flux

The transient temperature field in a composite semi-space resulting from an incident heat flux

Untitled

Unsteady mass transfer in a long composite cylinder with interfacial resistances

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