Application of Laplace transforms for the solution of transient mass- and heat-transfer problems in flow systems

Spas D. Kolev; W.E. van der Linden

doi:10.1016/0017-9310(93)80072-3

Application of Laplace transforms for the solution of transient mass- and heat-transfer problems in flow systems

Spas D. Kolev, W.E. van der Linden

Faculty of Engineering Technology

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Abstract

A fast numerical technique for the solution of partial differential equations describing timedependent two- or three-dimensional transport phenomena is developed. It is based on transforming the original time-domain equations into the Laplace domain where numerical integration is performed and by subsequent numerical inverse transformation the final solution can be obtained. The computation time is thus reduced by more than one order of magnitude in comparison with the conventional finite-difference techniques. The effectiveness of the proposed technique is demonstrated by illustrative examples.

Original language	Undefined
Pages (from-to)	135-139
Journal	International journal of heat and mass transfer
Volume	36
Issue number	1
DOIs	https://doi.org/10.1016/0017-9310(93)80072-3
Publication status	Published - 1993

Keywords

IR-57435

Access to Document

10.1016/0017-9310(93)80072-3

Kolev93application

Cite this

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abstract = "A fast numerical technique for the solution of partial differential equations describing timedependent two- or three-dimensional transport phenomena is developed. It is based on transforming the original time-domain equations into the Laplace domain where numerical integration is performed and by subsequent numerical inverse transformation the final solution can be obtained. The computation time is thus reduced by more than one order of magnitude in comparison with the conventional finite-difference techniques. The effectiveness of the proposed technique is demonstrated by illustrative examples.",

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T1 - Application of Laplace transforms for the solution of transient mass- and heat-transfer problems in flow systems

AU - Kolev, Spas D.

AU - van der Linden, W.E.

PY - 1993

Y1 - 1993

N2 - A fast numerical technique for the solution of partial differential equations describing timedependent two- or three-dimensional transport phenomena is developed. It is based on transforming the original time-domain equations into the Laplace domain where numerical integration is performed and by subsequent numerical inverse transformation the final solution can be obtained. The computation time is thus reduced by more than one order of magnitude in comparison with the conventional finite-difference techniques. The effectiveness of the proposed technique is demonstrated by illustrative examples.

AB - A fast numerical technique for the solution of partial differential equations describing timedependent two- or three-dimensional transport phenomena is developed. It is based on transforming the original time-domain equations into the Laplace domain where numerical integration is performed and by subsequent numerical inverse transformation the final solution can be obtained. The computation time is thus reduced by more than one order of magnitude in comparison with the conventional finite-difference techniques. The effectiveness of the proposed technique is demonstrated by illustrative examples.

KW - IR-57435

U2 - 10.1016/0017-9310(93)80072-3

DO - 10.1016/0017-9310(93)80072-3

M3 - Article

SN - 0017-9310

VL - 36

SP - 135

EP - 139

JO - International journal of heat and mass transfer

JF - International journal of heat and mass transfer

IS - 1

ER -