Modeling of heat transfer for flow across tube banks

Abstract A calculation procedure for two-dimensional elliptic flow is applied to predict the pressure drop and heat transfer characteristics of laminar and turbulent flow of air across tube banks. The turbulence model used involves the solution of two partial differential equations, one for the kinetic energy of the turbulence and the other for its dissipation rate. These differential equations are solved simultaneously with those for the conservation equations of mass, momentum and energy using an implicit finite volume procedure. The numerical methodology utilizes the stepped boundary technique to approximate the tube surface which is kept at constant temperature. The computations are extended to cover the case of two rows of tubes undergoing cross flow with in-line and staggered tube arrangements besides the case of a single row. Thereby, Reynolds number (Re) as well as the normal and parallel tube spacing-to-diameter ratios are varied. Effects of the flow and the geometry parameters on the friction factor and the local and global Nusselt number are presented. Moreover, velocity vector diagrams and temperature contours as well as axial flow velocity and turbulence kinetic energy profiles along the flow field upstream, over and downstream the tubes are also given. The theoretical results of the present model are compared with previously published experimental data of different authors. Satisfactory agreement is demonstrated.

[1]  R. Warrington,et al.  Mixed convection from horizontal tube banks between two vertical parallel plates , 1995 .

[2]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[3]  Motoo Fujii,et al.  A NUMERICAL ANALYSIS OF LAMINAR FLOW AND HEAT TRANSFER OF AIR IN AN IN-LINE TUBE BANK , 1984 .

[4]  R. Hilpert,et al.  Wärmeabgabe von geheizten Drähten und Rohren im Luftstrom , 1933 .

[5]  B. Launder,et al.  THE NUMERICAL COMPUTATION OF TURBULENT FLOW , 1974 .

[6]  S. Churchill,et al.  A Correlating Equation for Forced Convection From Gases and Liquids to a Circular Cylinder in Crossflow , 1977 .

[7]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[8]  Cen Ke-fa,et al.  Numerical computation of particle-laden gas flows past staggered tube banks undergoing erosion , 1994 .

[9]  Masud Behnia,et al.  Numerical laminar and turbulent fluid flow and heat transfer predictions in tube banks , 1995 .

[10]  M. Faghri,et al.  Numerical computation of flow and heat transfer in finned and unfinned tube banks , 1987 .

[11]  V. Gnielinski,et al.  Trocknungstechnik, Bd. 1 : Die wissenschaftlichen Grundlagen der Trocknungstechnik. Von O. Krischer und W. Kast. Springer‐Verlag, Berlin – Heidelberg – New York 1978. 3. neubearb. Aufl., XIX, 489 S., 367 Abb., 3 Tab., Ln., DM 196,– , 1979 .

[12]  Brian Launder,et al.  The Numerical Prediction of Viscous Flow and Heat Transfer in Tube Banks , 1978 .

[13]  E. Sparrow,et al.  Heat transfer, pressure drop, and fluid flow patterns in yawed tube banks , 1987 .

[14]  R. M. Fand.  Heat transfer by forced convection from a cylinder to water in crossflow , 1965 .

[15]  W. Tabakoff,et al.  Numerical Simulation of a Dilute Particulate Flow (Laminar) Over Tube Banks , 1994 .