Existence of Exact Algebraic Solutions for Viscous Flow and Heat Transfer

2014 ◽  
Vol 28 (1) ◽  
pp. 150-154 ◽  
Author(s):  
M. Turkyilmazoglu
Keyword(s):  
Heat Transfer ◽  
Viscous Flow ◽  
Flow And Heat Transfer ◽  
Algebraic Solutions

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
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