STUDY OF EFFECT OF MOLECULAR PRANDTL NUMBER, TRANSPIRATION AND LONGITUDINAL PRESSURE GRADIENT ON FLOW AND HEAT TRANSFER CHARACTERISTICS IN BOUNDARY LAYERS

Author(s):  
Alexander I. Leontiev ◽  
Valerii G. Lushchik ◽  
Mariia S. Makarova
2018 ◽  
Vol 387 ◽  
pp. 417-427 ◽  
Author(s):  
Fateh Mebarek-Oudina ◽  
Oluwole Daniel Makinde

The oscillatory natural convection between two concentric cylinders is numerically investigated. The effect of Prandtl number on flow and heat transfer characteristics with considering the magnetic field effects is investigated. For different values of physical parameters, critical Rayleigh numbers are determined. For buoyancy term, the Boussinesq approximation is used, and the numerical solutions are obtained using the finite volume method. For this kind of Prandtl number, the flow and heat transfer characteristics are unique and independent of the Prandtl number. Stability diagram (RaCr-Pr) highlights the dependence of RaCr via Prandtl numbers and various Hartmann number. The importance of this modeling is its practical application for stabilizing or weakening the convective effects in the design of magnetic systems.


1975 ◽  
Author(s):  
R. S. R. Gorla

Rotating blades provide some of the most challenging problems of fluid mechanics. The presence of secondary effects in the boundary layers over rotating blades results in the flow and heat transfer characteristics that are different from the classical two-dimensional boundary layer theory. In this paper, the unsteady velocity and thermal boundary layers have been solved for constant temperature boundary condition. By the use of small crossflow approximation, a perturbation analysis is developed to predict heat transfer characteristics. Numerical results for the universal functions proportional to primary flow and crossflow are presented. For the thermal problem, universal functions are presented for Pr = 0.70 and 1.0. Expressions for the skin friction coefficient as well as the Nusselt number have been derived.


Author(s):  
Khalid N. Alammar ◽  
Abdullah Mohammed

Heterogeneous nanofluid flow in pipes is simulated. Assuming incompressible, axisymmetric, and laminar flow, effect of nanoparticle distribution and Prandtl number on flow and heat transfer characteristics is investigated. With nanoparticle overall volume concentration of 0.05, up to 20% heat transfer enhancement was predicted for fully developed heterogeneous flow compared to homogeneous nanofluid. At the entrance region, the enhancement is shown to increase with increasing Prandtl number.


Author(s):  
Guan-min Zhang ◽  
Mao-cheng Tian ◽  
Nai-xiang Zhou ◽  
Wei Li ◽  
David Kukulka

Numerical simulation and experimental study were carried out to investigate the flow and heat transfer characteristics of air flowing across different types of oval-shaped cylinders. These cylinders have axis ratios, ε, of 1, 1.5, 2, 3, 4, and 5 with the major axis parallel to the free-stream for Reynolds numbers, based on the hydraulic diameter, varying from 4000 to50000. When ε = 1 the tube is a circular cylinder and when 1/ε = 0 a flat plate is represented. Numerical results show that the wake size decreases as ε increases from 1 to 5. The minimum value of Cp takes place at an angular position decrease as ε decreases and the maximum value of Cf gradually increases with the increasing ε. Simulated results agree very well with those available in the existing literature. Oval-shaped cylinders have a higher favorable pressure gradient at the front of the cylinder and a lower adverse pressure gradient at the back of the cylinder for flows in inhibiting separation. Empirical correlations for each tube have been obtained by numerical simulation relating the dimensionless heat transfer coefficient with the Reynolds Number and Prandtl Number. Field synergy theory and performance evaluation criteria (PEC) were used to analyze the mechanisms of heat transfer enhancement for oval-shaped cylinders. It was found that an oval-shaped tube with ε = 2 has the best comprehensive heat transfer performance at Re >11952. In order to verify the effectiveness and correctness of our numerical model, an experiment was carried out for cylinders for values of ε equal to 1, 2, 3 and 4.


2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Guan-Min Zhang ◽  
Mao-Cheng Tian ◽  
Nai-Xiang Zhou ◽  
Wei Li ◽  
David Kukulka

Numerical simulations and experimental study were carried out to investigate the flow and heat transfer characteristics of air flowing across different types of oval-shaped cylinders, for Reynolds numbers varying from 4000 to 50,000. These cylinders have axis ratios, ε, of 1, 1.5, 2, 3, 4, and 5 with the major axis parallel to the free-stream. Numerical results show the closer the distance to mainstream, the smaller the local velocity gradient is. The angular position of the minimum value of Cp decreases as ε decreases and the maximum value of Cf gradually increases with ε increasing. Oval-shaped cylinders have a higher favorable pressure gradient at the front of the cylinder and a lower adverse pressure gradient at the back of the cylinder for flows in inhibiting separation. Empirical correlations for each tube have been obtained by numerical simulation relating the dimensionless heat transfer coefficient with the Reynolds Number and Prandtl Number. Based on the presented results, it can be emphasized that the average heat transfer coefficient firstly increases and then decreases by increasing the axis ratio of the tube, implying that the elliptical tubes with a suitable axis ratio possess more advantages over circular tubes. Comparisons of the numerical results with the existing data verify the validation of the present study.


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