TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
On Viscous Dissipation in the Incompressible Fluid Flow Between Two Parallels Plates with Dirichlet Boundary Conditions
(Asupra disipaţiei vāscoase īn mişcarea fluidelor incompresibile printre două plăci plane paralele cu condiţii la limită Dirichlet)
Vol LVIII • No. 2/2006
Tudor Boacǎ
Universitatea Petrol ? Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: tboaca@upg-ploiesti.ro

 Keywords   dissipation, power law fluid, eigenfunction, Galerkin's method.

 Abstract
This paper considers the problem of viscous dissipation in the laminar incompressible fluid flow between two parallels plates. The method proposed to determine the temperature of the fluid makes use of the separation of variables. Thus the solution of the problem is obtained by series expansion about the complete eigenfunctions system of a Sturm-Liouville problem. Eigennfunction and eigenvalues of this Sturm-Liouville problem are obtained by Galerkin's method.

 Rezumat
Īn acest articol este studiată problema disipaţiei vāscoase īn mişcarea laminară incompresibilă a unui fluid vāscos printre două plăci plane paralele. Se utilizează pentru determinarea temperaturii fluidului metoda separării variabilelor. Soluţia problemei se obţine astfel sub forma unei serii după sistemul complet de funcţii proprii unei probleme de tip Sturm-Liouville. Funcţiile şi valorile proprii ale acestei probleme Sturm-Liouville sunt obţinute cu ajutorul metodei lui Galerkin.



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