Computation of Laminar Flow and Heat Transfer Over an Enclosed Rotating Disk With and Without Jet Impingement

1992 ◽  
Vol 114 (4) ◽  
pp. 881-890 ◽  
Author(s):  
Y. Nakata ◽  
J. Y. Murthy ◽  
D. E. Metzger

Convection heat transfer phenomena on rotating disks are of general interest in relation to turbomachineray design. In gas turbine engines, for example, knowledge of the temperature distribution on turbine disks that are bounded by a fluid cavity is required to predict stresses and durability. Cooling air is generally provided by the compressor section and routed to the turbine disk cavities where it is utilized for cooling both the rotating and stationary components. Since the production and pumping of the compressed cooling air imposes performance penalties on the engine cycle, a goal of the designer is always to minimize cooling air consumption. This requirement produces a need for accurate and detailed knowledge of the convection heat transfer and flow characteristics associated with disk cavity flows for a large variety of possible cooling configurations. In the past, most reliable information on disk cavity flow and heat transfer has been derived from empirical studies, but the large range of possible geometries and flow conditions precludes a complete coverage by experiment alone. In the future, it should be possible to supplement disk cavity flow experiments with numerical computations both to aid in interpretation of and to extend empirical results. The present numerical study of laminar flow cases is intended to complement previous experimental information for disk convection with jet impingment. The computational method is described and applied first to a baseline case of a rotating disk in an enclosure where results are found to compare favorably with the experiments of Daily and Nece. The two-dimensional approach used to model the inclusion of an impinging jet is described, and the computational method is applied to predict both flow and heat transfer characteristics in the vicinity of the interaction between impinging jet and rotating disk. The computed results partition into impingment-dominated and rotational-dominated regimes similar to the findings of prior experimental studies.

In this chapter, the non-Darcy model is employed for porous media filled with nanofluid. Both natural and forced convection heat transfer can be analyzed with this model. The governing equations in forms of vorticity stream function are derived and then they are solved via control volume-based finite element method (CVFEM). The effect of Darcy number on nanofluid flow and heat transfer is examined.


2018 ◽  
Vol 389 ◽  
pp. 164-175
Author(s):  
Houssem Laidoudi ◽  
Bilal Blissag ◽  
Mohamed Bouzit

In this paper, the numerical simulations of laminar mixed convection heat transfer from row of three isothermal square cylinders placed in side-by-side arrangement are carried out to understand the behavior of fluid flow around those cylinders under gradual effect of thermal buoyancy and its effect on the evacuation of heat energy. The numerical results are presented and discussed for the range of these conditions: Re = 10 to 40, Ri = 0 to 2 at fixed value of Prandtl number of Pr = 1 and at fixed geometrical configuration. In order to analyze the effect of thermal buoyancy on fluid flow and heat transfer characteristics the main results are illustrated in terms of streamline and isotherm contours. The total drag coefficient as well as average Nusselt number of each cylinder are also computed to determine exactly the effect of buoyancy strength on hydrodynamic force and heat transfer evacuation of each cylinder.


1999 ◽  
Vol 121 (2) ◽  
pp. 249-256 ◽  
Author(s):  
R. Pilbrow ◽  
H. Karabay ◽  
M. Wilson ◽  
J. M. Owen

In most gas turbines, blade-cooling air is supplied from stationary preswirl nozzles that swirl the air in the direction of rotation of the turbine disk. In the “cover-plate” system, the preswirl nozzles are located radially inward of the blade-cooling holes in the disk, and the swirling airflows radially outward in the cavity between the disk and a cover-plate attached to it. In this combined computational and experimental paper, an axisymmetric elliptic solver, incorporating the Launder–Sharma and the Morse low-Reynolds-number k–ε turbulence models, is used to compute the flow and heat transfer. The computed Nusselt numbers for the heated “turbine disk” are compared with measured values obtained from a rotating-disk rig. Comparisons are presented, for a wide range of coolant flow rates, for rotational Reynolds numbers in the range 0.5 X 106 to 1.5 X 106, and for 0.9 < βp < 3.1, where βp is the preswirl ratio (or ratio of the tangential component of velocity of the cooling air at inlet to the system to that of the disk). Agreement between the computed and measured Nusselt numbers is reasonably good, particularly at the larger Reynolds numbers. A simplified numerical simulation is also conducted to show the effect of the swirl ratio and the other flow parameters on the flow and heat transfer in the cover-plate system.


Author(s):  
Pei-Xue Jiang ◽  
Rui-Na Xu ◽  
Zhi-Hui Li ◽  
Chen-Ru Zhao

The convection heat transfer of CO2 at supercritical pressures in a 0.0992 mm diameter vertical tube at relatively high Reynolds numbers (Rein = 6500), various heat fluxes and flow directions are investigated experimentally and numerically. The effects of buoyancy and flow acceleration resulting from the dramatic property variations are studied. The Results show that the local wall temperature varied non-linearly for both upward and downward flow when the heat flux was high. The difference in the local wall temperature between upward and downward flow is very small when the other test conditions are held the same, which indicates that for supercritical CO2 flowing in a micro tube as employed in this study, the buoyancy effect on the convection heat transfer is insignificant and the flow acceleration induced by the axial density variation with temperature is the main factor leading to the abnormal local wall temperature distribution at high heat fluxes. The predicted temperatures using the LB low Reynolds number turbulence model correspond well with the measured data. To further study the influence of flow acceleration on the convection heat transfer, air is also used as the working fluid to numerically investigate the fluid flow and heat transfer in the vertical micro tube. The results show that the effect of compressibility on the fluid flow and heat transfer of air in the vertical micro tube is significant but that the influence of thermal flow acceleration on convection heat transfer of air in a vertical micro tube is insignificant.


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