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Laminar Convection In Internal Flow

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Abstract

In Chap. 1, we have introduced the concept of convection through a phenomenological description by introducing h, the convection heat transfer coefficient. The heat transfer coefficient was introduced through the so-called “Newton’s law of cooling”. In many problems encountered in conduction heat transfer, we have made use of a suitable “h” value to describe what happens at a boundary between a solid and the ambient fluid. However, no effort was made to describe the basis for choosing a particular value of h. In what follows we would like to calculate h by using fundamental heat transfer principles that are involved in the case of a flowing fluid.

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Notes

  1. 1.

    Named in honor of Ludwig Prandtl, 1875–1953, a German engineer. He proposed the boundary layer theory which is successful in explaining pressure drop and heat transfer in the flow of a viscous heat conducting fluid and gave impetus for much development in Fluid Mechanics.

  2. 2.

    Edgar Buckingham, 1867–1940, American physicist.

  3. 3.

    Named after Ernst Kraft Wilhelm Nusselt, 1882–1957, a German engineer.

  4. 4.

    Gotthilf Heinrich Ludwig Hagen, 1797–1884, German physicist and hydraulic engineer and Jean Léonard Marie Poiseuille, 1797–1869, French physicist and physiologist.

  5. 5.

    Named after Jean Claude Eugène Péclet 1793–1857, a French physicist

  6. 6.

    M.S. Bhatti,“Fully developed temperature distribution in a circular tube with uniform wall temperature”, Unpublished paper, Owens-Corning Fiberglass Corporation, Ohio, 1985 as cited by S. Kakac and R.K. Shah, Handbook of Single Phase Convective Heat Transfer, John Wiley, NY, 1987.

  7. 7.

    Named after Leo Graetz, 1856–1941, German physicist

  8. 8.

    J.R. Sellars, M. Tribus and J.S. Klein, Trans. ASME, Vol.78, pp. 441–448,1956.

  9. 9.

    H. Hausen, Z. VDI Beih. Verfahrenstech., Vol. 4, pp. 91–98, 1943.

  10. 10.

    E.N. Seider and G.E. Tate, Ind. Eng. Chem., Vol.28, pp. 1429–1435, 1936.

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Correspondence to S. P. Venkateshan .

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Venkateshan, S.P. (2021). Laminar Convection In Internal Flow. In: Heat Transfer . Springer, Cham. https://doi.org/10.1007/978-3-030-58338-5_12

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  • DOI: https://doi.org/10.1007/978-3-030-58338-5_12

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