In this paper, a theoretical study is conducted, calculating the temperature distn'bution in the cross-section of a rectangular duct, under the conditions of newtonian and incompressa'ble fluid, fully developed laminar flow and steady-state regime. The governing equations are solved resorting to the finite Fourier transfornl The temperature distn'butions are obtained. The results concerning the temperature dism'bution in a square duct are shown by tables and figures, and a comparison between the present solution and some literature conm'butions is also presented. The viscous dissipation is responsible for a power generation that, for a particular Brinkman number (Brq = 1/Phi* or Brw=+-infinity), allows the wall heat flux to vanish. At last, the effects of viscous dissipation and wall heat flux are presented in some graphs, as a function of the duct aspect ratio.

Laminar Viscous Dissipation in Rectangular Ducts / G. L., Morini; M., Spiga; Tartarini, Paolo. - In: INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER. - ISSN 0735-1933. - STAMPA. - 25:(1998), pp. 551-560.

Laminar Viscous Dissipation in Rectangular Ducts

TARTARINI, Paolo
1998

Abstract

In this paper, a theoretical study is conducted, calculating the temperature distn'bution in the cross-section of a rectangular duct, under the conditions of newtonian and incompressa'ble fluid, fully developed laminar flow and steady-state regime. The governing equations are solved resorting to the finite Fourier transfornl The temperature distn'butions are obtained. The results concerning the temperature dism'bution in a square duct are shown by tables and figures, and a comparison between the present solution and some literature conm'butions is also presented. The viscous dissipation is responsible for a power generation that, for a particular Brinkman number (Brq = 1/Phi* or Brw=+-infinity), allows the wall heat flux to vanish. At last, the effects of viscous dissipation and wall heat flux are presented in some graphs, as a function of the duct aspect ratio.
25
551
560
Laminar Viscous Dissipation in Rectangular Ducts / G. L., Morini; M., Spiga; Tartarini, Paolo. - In: INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER. - ISSN 0735-1933. - STAMPA. - 25:(1998), pp. 551-560.
G. L., Morini; M., Spiga; Tartarini, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/459681
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