A new heat transfer correlation for transition and turbulent fluid flow in tubes
TL;DR: In this article, the authors developed a correlation for the Nusselt number Nu in terms of the friction factor ξ (Re), Reynolds number Re, and also Prandtl number Pr, which is valid for transitional and fully developed turbulent flow.
About: This article is published in International Journal of Thermal Sciences.The article was published on 2016-10-01. It has received 79 citations till now. The article focuses on the topics: Turbulent Prandtl number & Nusselt number.
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TL;DR: In this paper, the authors investigated the heat transfer characteristics of developing and fully developed flow in smooth horizontal tubes in the transitional flow regime at a constant heat flux, and found that the Reynolds number at which transition started was independent of axial position, and transition occurred at the same moment in time along the whole tube length.
62 citations
TL;DR: In this article, the relationship between heat transfer and pressure drop in smooth horizontal circular tubes in the laminar, transitional, quasi-turbulent and turbulent flow regimes was investigated.
56 citations
TL;DR: In this article, heat transfer and pressure drop experiments in the quasi-turbulent and turbulent flow regimes and to develop an accurate heat transfer correlation that can be combined with recently developed laminar and transitional flow correlations to obtain a single correlation that is valid for all flow regimes.
53 citations
01 Jan 2017
TL;DR: In this article, three power-type correlations of a simple form, which are valid for Reynolds numbers range from 3·103 ≤ Re ≤ 106, and for three different ranges of Prandtl number: 0.1 ≤ Pr ≤ 1.0, 1.
Abstract: The paper presents three power-type correlations of a simple form, which are valid for Reynolds numbers range from 3·103 ≤ Re ≤ 106 , and for three different ranges of Prandtl number: 0.1 ≤ Pr ≤ 1.0, 1.0 . Heat transfer correlations developed in the paper were compared with experimental results available in the literature. The comparisons performed in the paper confirm the good accuracy of the proposed correlations. They are also much simpler compared with the relationship of Gnielinski, which is also widely used in the heat transfer calculations.
45 citations
Cites methods from "A new heat transfer correlation for..."
...The Nusselt number was evaluated for various Reynolds and Prandtl numbers, and the results are listed in Table 1 [29]....
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...Equation (8) with the boundary conditions (11)-(13) was solved using the finite difference method [29]....
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...Energy conservation equation for turbulent tube flow averaged by Reynolds has the following form [23, 29]...
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...Nusselt Nu number as a function of the Reynolds and Prandtl numbers obtained from the solution of the energy conservation equation for fully developed turbulent flow in tubes with constant wall heat flux [29]....
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TL;DR: In this paper, a numerical study was conducted using the finite difference technique to examine the mechanism of energy transfer as well as turbulence in the case of fully developed turbulent flow in a circular tube with constant wall temperature and heat flow conditions.
Abstract: A numerical study was conducted using the finite difference technique to examine the mechanism of energy transfer as well as turbulence in the case of fully developed turbulent flow in a circular tube with constant wall temperature and heat flow conditions. The methodology to solve this thermal problem is based on the energy equation, a fluid of constant properties in an axisymmetric and two-dimensional stationary flow. The global equations and the initial and boundary conditions acting on the problem are configured in dimensionless form in order to predict the characteristics of the turbulent fluid flow inside the tube. Using Thomas’ algorithm, a program in FORTRAN was developed to numerically solve the discretized form of the system of equations describing the problem. Finally, using this elaborate program, we were able to simulate the flow characteristics, for changing parameters such as Reynolds, Prandtl, and Peclet numbers along the pipe to obtain the important thermal model. These are discussed in detail in this work. Comparison of the results to published data shows that results are a good match to the published quantities.
42 citations
References
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01 Jan 1976
3,788 citations
Book•
01 Jan 1962TL;DR: In this paper, Kreith, Manglik, and Bohn present relevant and stimulating content in this fresh and comprehensive approach to heat transfer, acknowledging that in today's world classical mathematical solutions to Heat Transfer problems are often less influential than computational analysis.
Abstract: PRINCIPLES OF HEAT TRANSFER was first published in 1959, and since then it has grown to be considered a classic within the field, setting the standards for coverage and organization within all other Heat Transfer texts. The book is designed for a one-semester course in heat transfer at the junior or senior level, however, flexibility in pedagogy has been provided. Following several recommendations of the ASME Committee on Heat Transfer Education, Kreith, Manglik, and Bohn present relevant and stimulating content in this fresh and comprehensive approach to heat transfer, acknowledging that in today's world classical mathematical solutions to heat transfer problems are often less influential than computational analysis. This acknowledgement is met with the emphasize that students must still learn to appreciate both the physics and the elegance of simple mathematics in addressing complex phenomena, aiming at presenting the principles of heat transfer both within the framework of classical mathematics and empirical correlations.
2,194 citations
Book•
01 Jan 1969
TL;DR: In this article, a unified treatment of momentum transfer (fluid mechanics), heat transfer and mass transfer is presented, with a focus on modern applications of the basic material, and many new homework exercises at the end of each chapter.
Abstract: Providing a unified treatment of momentum transfer (fluid mechanics), heat transfer and mass transfer. This new edition includes more modern applications of the basic material, and to provide many new homework exercises at the end of each chapter.
1,973 citations
1,774 citations