Laminar forced convection heat transfer of a non-newtonian fluid in a square duct
01 Dec 1977-International Journal of Heat and Mass Transfer (Pergamon)-Vol. 20, Iss: 12, pp 1315-1324
TL;DR: In this article, numerical solutions for laminar heat transfer of a non-Newtonian fluid in the thermal entrance region of a square duct are presented for three thermal boundary conditions.
About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 1977-12-01. It has received 85 citations till now. The article focuses on the topics: Nusselt number & Churchill–Bernstein equation.
Citations
More filters
TL;DR: In this paper, a flow pattern and heat transfer coefe cients are obtained for the fully developed viscoelastic liquid owing laminarly inside ducts of rectangular cross sections.
Abstract: Flow patterns and heat transfer coefe cients are obtained for the fully developed e ow of viscoelastic liquid e owing laminarly inside ducts of rectangular cross sections. The effect of natural convection is analyzed. The results are obtained by integrating the conservation equations together with the Criminale‐ Ericksen‐ Filbey constitutive model, via a control-volume technique. Wide ranges of the relevant parameters are investigated. Different e ow regimes are observed, depending upon the relative importance of viscoelastic and buoyancy-driven forces. These changes in e ow regime are responsible for dramatic changes in the heat transfer behavior, which have been previously observed experimentally, as reported in the literature.
8 citations
TL;DR: In this article, the effects of non-uniform heating on the heat transfer of a thermally undeveloped gas flow in a horizontal rectangular duct were investigated, where a vertical side wall is uniformly heated, and the other walls are insulated.
7 citations
TL;DR: In this article, a rigorous solution is obtained for the temperature field and the Nusselt numbers in the fully developed thermal region of rectangular ducts, in which a uniform velocity profile occurs (slug flow).
7 citations
TL;DR: In this paper, the features of Maxwell fluid flow through a stretching sheet (variable thickness) with heat source/sink and melting heat transfer are analyzed and the leading equations of the course are transmuted with suitable similarity transmutations and resolved the subsequent equations mathematically with shooting technique.
Abstract: In this study, the features of Maxwell fluid flow through a stretching sheet (variable thickness) with heat source/sink and melting heat transfer are analyzed. Leading equations of the course are transmuted with suitable similarity transmutations and resolved the subsequent equations mathematically with shooting technique. The effects of the valid parameters on the regular profiles (velocity, concentration, temperature) are elucidated through graphs in two cases (presence and absence of melting). And also, friction factor, transfer rates (mass, heat) are examined with the same parameters and the outcomes are presented in tabular form. A few of the findings are (a) the elastic parameter upsurges the velocity (b) heat source parameter raises the temperature (c) mass transfer rate is lowered by chemical reaction.
7 citations
Cites background from "Laminar forced convection heat tran..."
...[3] Chandrupatla, A.R., Sastri, V.M.K., Laminar forced convection heat transfer of a non-Newtonian fluid in a square duct, International Journal of Heat Mass Transfer, 20, 1977, 1315-1324....
[...]
...By considering the geometry as a square duct, Chandrupatla and Sastri [3] concluded that pseudoplastic fluids appear to be superior functioning fluids in heat exchange tools contrasted with Newtonian fluids....
[...]
Journal Article•
TL;DR: In this paper, the authors presented numerical solutions for laminar heat transfer of a non-Newtonian fluid in the thermal entrance region for triangular, square, sinusoidal, etc. ducts for constant wall temperature.
Abstract: Numerical solutions for laminar heat transfer of a non-Newtonian fluid in the thermal entrance region for triangular, square, sinusoidal, etc. ducts are presented for constant wall temperature. The continuity equation and parabolic forms of the energy and momentum equations in Cartesian coordinates are transformed by the elliptic grid generation technique into new non-orthogonal coordinates with the boundary of the duct coinciding with the coordinate surface. The effects of axial heat conduction, viscous dissipation and thermal energy sources within the fluid are neglected. The transformed equations are solved by the finite difference technique. As an application of the method, flow and heat transfer results are presented for ducts with triangular, square, sinusoidal and four-cusped cross sections and square cross sections with four indented corners. The results are compared with the results of previous works.
7 citations
References
More filters
01 Nov 1971
TL;DR: Theoretical laminar flow solutions for heat transfer and flow friction are of importance in the development of compact heat exchangers as discussed by the authors, generally the higher the degree of compactness, the lower is the Reynolds number and the greater is the relevance of the theory solutions.
Abstract: : Theoretical laminar flow solutions for heat transfer and flow friction are of importance in the development of compact heat exchangers. Generally the higher the degree of compactness, the lower is the Reynolds number and the greater is the relevance of the theory solutions. In the report these solutions are compiled for twenty one straight ducts and four curved ducts. Some new analytical solutions are obtained by writing a general computer program for three ducts. Application of the analytical solutions to the gas turbine regenerator is discussed.
101 citations
01 Jan 2019
18 citations
TL;DR: In this paper, the authors used the momentum and energy integral method of von Karman and Pohlhausen to solve the entrance heat transfer problem for a non-Newtonian fluid in a flat duct.
Abstract: The momentum and energy integral method of von Karman and Pohlhausen is used to solve the entrance heat transfer problem for a non-Newtonian fluid in a flat duct. The initial temperature and velocity profiles are assumed to be flat. The fluid is assumed to obey the Ostwald-de Wael model and its physical properties are assumed to be constant. Dimensionless expressions for temperature and velocity profiles are obtained by numerical methods.
The results of this investigation indicate that, similar to the case of Newtonian fluid, the parameters which influence entrance heat transfer are x/b ratio, Reynolds number and Prandtl number, provided these groups are properly defined.
La methode tenant compte du momentum et de l'energie de von Karman et de Pohlhausen est utilisee pour resoudre le probleme de la transmission de chaleur a l'entree d'un conduit plat pour un fluide non-Newtonien. Les profils initiaux de temperature et vitesse sont supposes uniformes. Le fluide est conforme au modele Ostwald-de Wael et ses proprieties sont supposees constantes. Les expressions sans dimensions sont obtenues a l'aide d'analyses numeriques pour les profils de temperature et vitesse.
Les resultats de cette recherche indiquent que, similarement au cas des fluides non-Newtoniens, les parametres influencant la transmission de chaleur a l'entree, sont x/b, Re et Pr en autant que ces groupes son definis adequatement.
16 citations