Review
Studies of mixed convection in vertical tubes

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Abstract

The early study of convective heat transfer considered the branches of forced and free convection independently with only passing reference to their possible interaction. In fact the two are extreme cases of the general condition of “mixed” or “combined” forced and free convection where both mechanisms operate simultaneously. The present contribution aims to provide an up-to-date review of those works concerned with mixed convection heat transfer in vertical tubes. The review is divided into two sections, the first dealing with laminar flow, and the second with turbulent flow; further subdivisions are made according to whether the work is theoretical or experimental. Comparisons between theory and experiment are made where possible, expressions defining the conditions for onset of buoyancy effects are presented and equations for determining heat transfer are given. The paper ends with some general comments and recommendations. The survey is restricted to fluids of moderate Prandtl number; mixed convection in liquid metals can display very different characteristics which will be discussed in a future paper.

References (99)

  • M.A. Cotton et al.

    Applicant of the low-Reynolds-number kε model to mixed convection in vertical tubes

  • M.J.S. De Lemos et al.

    Turbulence modelling in combined convection in mercury pipe flow

    Int. J. Heat Mass Transfer

    (1985)
  • B.S. Petukhov et al.

    Turbulent flow and heat exchange in vertical pipes under conditions of strong influence of upward forces

    Teplofizika Vysokikh Temperature

    (1978)
  • R.C. Martinelli et al.

    Analytical prediction of superimposed free and forced convection in a vertical pipe

    University of California, Publications in Engineering

    (1942)
  • G.A. Ostroumov

    The mathematical theory of heat transfer in circular, vertical tubes with combined forced and free convection (in Russian)

    Zhurnal Tekjnicheskoi Fizki

    (1950)
  • T.M. Hallman

    Combined forced and free laminar heat transfer in vertical tubes with uniform internal heat generation

    Trans. ASME

    (1956)
  • T.J. Hanratty et al.

    Effect of heat transfer on flow field at low Reynolds numbers in vertical tubes

    Industrial and Engineering Chemistry

    (1958)
  • W.G. Brown

    The superposition of natural and forced convection at low flow rates in a vertical tube

    Forschung auf dem Gebiete des Ingenieurwesens

    (1960)
  • B.R. Morton

    Laminar convection in uniformly heated vertical pipes

    J. Fluid Mech.

    (1960)
  • E.M. Rosen et al.

    Use of boundary layer theory to predict the effect of heat transfer on the laminar flow field in a vertical tube with a constant temperature wall

    A.I.Ch.E. Journal

    (1961)
  • R.F. Pigford

    Nonisothermal flow and heat transfer inside vertical tubes

  • W.J. Marner et al.

    Combined free and forced laminar convection in a vertical tube with constant wall temperature

    Trans. ASMEC, J. Heat Transfer

    (1970)
  • W.T. Lawrence et al.

    Heat transfer effects on the developing laminar flow inside vertical tubes

    Trans. ASME C, J. Heat Transfer

    (1966)
  • M.W. Collins

    Combined convection in vertical tubes

  • M.W. Collins

    Heat transfer by laminar combined convection in a vertical tube—predictions for water

  • B. Zeldin et al.

    Developing flow with combined forced-free convection in an isothermal vertical tube

    Trans. ASME C, J. Heat Transfer

    (1971)
  • G.F. Scheele et al.

    Effect of natural convection on transition to turbulent flow in vertical pipes

    Canadian Journal of Chemical Engineering

    (1960)
  • G.F. Scheele et al.

    Effect of natural convection on stability of flow in a vertical pipe

    J. Fluid Mech.

    (1962)
  • G.F. Scheele et al.

    Laminar-turbulent transition for nonisothermal pipe flow

    A.I.Ch.E. Journal

    (1966)
  • A. Watzinger et al.

    Wärmeübertragung von Wasser an Rohrwand bei senkrechter Strömung im Übergangsgebiet zwischen laminarer und turbulenter Strömung

    Forschung auf dem Gebiete des Ingenierwesens

    (1939)
  • R.C. Martinelli et al.

    Heat transfer and pressure drop for a liquid flowing in the viscous region through a vertical pipe

    Trans. Amer. Inst. Chem. Engrs.

    (1943)
  • J.A. Clark et al.

    Local boiling heat transfer to water at low Reynolds numbers and high pressure

  • T.M. Hallman

    Experimental study of combined forced and free laminar convection in a vertical cube

    N.A.S.A.T.N.D-1104

    (1961)
  • G.A. Kemeny et al.

    Combined free and forced-convective flow in vertical circular tubes—experiments with water and oil

    Trans. ASME C, J. Heat Transfer

    (1962)
  • G.F. Scheele et al.

    Effect of natural convection instabilities on rates of heat transfer at low reynolds numbers

    A.I.Ch.E. Journal

    (1963)
  • B.S. Petukhov

    Turbulent flow and heat transfer in pipes under considerable effect of thermogravitational forces

  • Y.Y. Hsu et al.

    The effect of density variation on heat transfer in the critical region

    Trans. ASME C, J. Heat Transfer

    (1961)
  • J.D. Jackson et al.

    Influences of buoyancy on heat transfer to fluids flowing in vertical tubes under turbulent conditions

  • B.S. Petukhov et al.

    Heat transfer to water flowing in a vertical tube

    Teploenergetika

    (1959)
  • B.S. Petukhov et al.

    Experimental investigation of heat transfer with viscous inertial-gravitational flow of a liquid in vertical tubes

    Teplofizika Vysokikh Temperatur

    (1968)
  • L.S. Herbert et al.

    An experimental investigation of heat transfer to water in film flow

    Canadian Journal of Chemical Engineering

    (1968)
  • E.R.G. Eckert et al.

    Experiments on mixed free and forced convective heat transfer connected with turbulent flow through a short tube

    NACA TN 2974

    (1953)
  • E.R.G. Eckert et al.

    Trans. ASME

    (1954)
  • W.B. Hall et al.

    Heat transfer near the critical point

  • J.D. Jackson et al.

    Heat transfer to supercritical pressure fluids

  • M.E. Shitsman

    Impairment of the heat transmission at supercritical pressures

    High Temperature

    (1963)
  • J.W. Ackerman

    Pseudoboiling heat transfer to supercritical pressure water in smooth and ribbed tubes

    Trans. ASME C, J. Heat Transfer

    (1970)
  • V. Vikhrev et al.

    A study of heat transfer in vertical tubes at supercritical pressures

    Teploenergetika

    (1967)
  • N.S. Alferov et al.

    Features of heat transfer due to combined free and forced convection with turbulent flow

    Heat Transfer Soviet Research

    (1973)
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