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Pressure drops in the Graetz-Nusslt problem extended on a gap flow of power law fluids

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In this paper a new approximative method of calculating the pressure drops in laminar forced convection heat transfer to power law fluids with temperature dependent rheological properties is proposed. These fluids exhibiting a non-Newtonian rheological behaviour are assumed to flow through a flat gap formed by two wide, parallel plane plates. The method to be proposed here makes it possible to calculate the values of local Fanning's friction factor if only one value of the so called “film temperature” has been previously measured. The main advantage of the procedure presented is that it holds for various thermal wall conditions (constant and variable wall temperature as well as wall heat flux). In addition, the effects of viscous dissipation on pressure drops have been taken into account. The results of numerical computations are shown in form of graphs and some comparisons are presented tabularly. The present work is intended to be a supplement to the previous paper by the same authors [1].

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References

  1. Nowak, Z., Gryglaszewski, P., Stacharska-Targosz, J.: Laminar heat transfer to power law fluids in flat gaps with various thermal wall conditions. Acta Mechanica44, 223–236 (1982).

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  2. Nowak, Z., Gryglaszewski, P., Stacharska-Targosz, J.: Numerical study of changes in friction factor in non-isothermal laminar flow of power law fluids in flat gaps. 7th Int. Congress CHISA '81, Praha, Czechoslovakia.

  3. Skelland, A. H. P.: Non-Newtonian flow and heat transfer. New York: J. Wiley 1967.

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Nowak, Z., Gryglaszewski, P. & Stacharska-Targosz, J. Pressure drops in the Graetz-Nusslt problem extended on a gap flow of power law fluids. Acta Mechanica 45, 205–213 (1982). https://doi.org/10.1007/BF01178040

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  • DOI: https://doi.org/10.1007/BF01178040

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