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- W1983227568 abstract "Transient laminar forced convection of Newtonian fluids inside circular ducts and parallel-plate channels subjected to stepwise variations of wall temperature is considered. Approximate analytical solutions are developed by making use of the generalized integral transform and the classical Laplace transform techniques. Higher order solutions are given for the case of a step change in wall temperature. A second-order accurate finite-difference solution is developed to assess the accuracy of the available approximate solutions. The Sign-Count method is used to solve the resulting eigenvalue problems and determine as many eigenvalues and eigenfunctions as needed. Results are presented for the local Nusselt number, average fluid temperature and the wall heat flux over a wide range of the dimensionless axial coordinate. On a étudié la convection forcée laminaire en régime transitoire de fluides newtoniens dans un conduit circulaire et dans des canaux à plaques parallèles soumis à des variations par échelons de la température de paroi. Des solutions analytiques approximatives ont été établies à l'aide de transformers intégrales généralisées et de transformées de Laplace classiques. Des solutions d'ordre supérieur sont données pour le cas d'un changement de type echelon dans la température de paroi. Une solution exacte du second ordre par différences finies a été établie pour évaluer l'exactitude des solutions approximatives disponibles. On utilise la méthode Sign-Count pour résoudre les problèmes de valeurs propres et de vecteurs propres que nécessaire. On présente des résultats pour le nombre de Nusselt local, la température moyenne du fluide et le flux de chaleur à la paroi sur une large gamme de la coordonnée axiale adimensionnelle." @default.
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- W1983227568 date "1986-10-01" @default.
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- W1983227568 title "Transient forced convection in laminar channel flow with stepwise variations of wall temperature" @default.
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- W1983227568 doi "https://doi.org/10.1002/cjce.5450640504" @default.
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