Curvilinear Coordinates and Physical Components: An Application to the Problem of Viscous Flow and Heat Transfer in Smoothly Curved Ducts

1996 ◽  
Vol 63 (4) ◽  
pp. 985-989 ◽  
Author(s):  
C. J. Bolinder
Keyword(s):  
Heat Transfer ◽  
Viscous Flow ◽  
Time Derivative ◽  
Curvilinear Coordinates ◽  
Flow And Heat Transfer ◽  
Curved Ducts ◽  
Physical Components

Expressions are derived for the gradient, divergence, Laplacian, curl, and material time derivative in terms of general curvilinear coordinates using physical components of all vector quantities. The results are conveniently expressed in terms of two new coefficients, involving physical and reciprocal base vectors. An application to the problem of viscous flow and heat transfer in arbitrarily smoothly curved ducts is presented. In particular, helical ducts are considered.

The Numerical Prediction of Viscous Flow and Heat Transfer in Tube Banks

1978 ◽  
Vol 100 (4) ◽  
pp. 565-571 ◽  
Author(s):  
B. E. Launder ◽  
T. H. Massey
Keyword(s):  
Heat Transfer ◽  
Viscous Flow ◽  
Stokes Equations ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Substantial Contribution ◽  
Navier Stokes Equations ◽  
Flow And Heat Transfer ◽  
Flow Domain ◽  
Tube Banks

A scheme for handling the numerical analysis of viscous flow and heat transfer in tube banks is presented. It involves the use of a cylindrical network of nodes in the vicinity of the tubes with a Cartesian mesh covering the remainder of the flow domain. The approach has been incorporated into the numerical solving algorithm for the Navier Stokes equations of Gasman, et al. [8]. A number of demonstration calculations is presented including a numerical simulation of the staggered square bank for which Bergelin and co-workers [4, 9] have reported experimental results for pressure drop and heat transfer rate. Agreement between predicted and measured characteristics is satisfactory when account is taken of end and entry effects that are present in the experiments but necessarily omitted from the calculations. Indeed the close agreement of the laminar predictions with measurements extends to Reynolds numbers in excess of 1000, a level at which it has hitherto been supposed that turbulent motion in the fluid made a substantial contribution to friction and heat transfer.

scholarly journals Viscous flow and heat transfer through two coaxial porous cylinders

2015 ◽  
Vol 9 (1) ◽  
pp. 45-60
Author(s):  
Jacques Hona ◽  
Elkana Pemha ◽  
Elisabeth Nyobe
Keyword(s):  
Heat Transfer ◽  
Viscous Flow ◽  
Flow And Heat Transfer ◽  
Porous Cylinders

scholarly journals Developing Flow and Heat Transfer in Strongly Curved Ducts of Rectangular Cross Section

1980 ◽  
Vol 102 (2) ◽  
pp. 285-291 ◽  
Author(s):  
G. Yee ◽  
R. Chilukuri ◽  
J. A. C. Humphrey
Keyword(s):  
Heat Transfer ◽  
Cross Section ◽  
Numerical Study ◽  
Rectangular Cross Section ◽  
Flow And Heat Transfer ◽  
Computational Mesh ◽  
Developing Flow ◽  
Duct Geometry ◽  
Curved Ducts

A numerical study of heat transfer in 90 deg, constant cross section curved duct, steady, laminar, flow is presented. The work is aimed primarily at characterizing the effects on heat transfer of duct geometry and entrance conditions of velocity and temperature by considering, especially, the role of secondary motions during the developing period of the flow. Calculations are based on fully elliptic forms of the transport equations governing the flow. They are of engineering value and are limited in accuracy only by the degree of computational mesh refinement. A comparison with calculations based on parabolic equations shows how the latter can lead to erroneous results for strongly curved flows. Buoyant effects are excluded from the present study so that, strictly, the results apply to heat transfer flows in the absence of gravitational forces such as arise in spacecraft.

Computations of Turbulent Flow and Heat Transfer in Staggered Tube Banks

1996 ◽  
Author(s):  
M. C. Sharatchandra ◽  
David L. Rhode
Keyword(s):  
Heat Transfer ◽  
Turbulent Flow ◽  
Finite Volume ◽  
Cross Flow ◽  
Turbulence Models ◽  
Curvilinear Coordinates ◽  
Flow And Heat Transfer ◽  
Finite Volume Approach ◽  
Tube Banks ◽  
Limiting Case

Abstract Turbulent Flow in closely spaced staggered tube bundles is numerically investigated using a finite-volume approach in general curvilinear coordinates. Attention if focused on the hydrodynamic and thermal effects of the longitudinal displacement of alternate tube rows. The computations used both standard and 2-layer k–ϵ turbulence models in conjunction with a streamwise periodic finite volume formulation. The computations are in excellent agreement with experimental data for the limiting case of flow and heat transfer in undisplaced tube banks. Furthermore, the results indicate increases in both pressure drop and heat transfer with an increase in displacement. The results of this study may serve as an aid in the design of shell and tube cross flow heat exchangers.

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