Laminar Free-Convection Wake Above a Heated Vertical Plate

1964 ◽  
Vol 31 (1) ◽  
pp. 131-138 ◽  
Author(s):  
Kwang-Tzu Yang
Keyword(s):  
Free Convection ◽  
Boundary Layers ◽  
Vertical Plate ◽  
Asymptotic Series ◽  
Integral Solution ◽  
Series Expansions ◽  
Temperature Profiles ◽  
Wake Region ◽  
Laminar Wake ◽  
Prandtl Numbers

The development of momentum and energy fields in the laminar-wake region above a heated finite vertical plate is studied analytically. Detailed velocity and temperature profiles in the immediate neighborhood of the trailing edge of the plate are calculated for two Prandtl numbers by means of asymptotic series expansions. These results are then continued to the rest of the wake region by an integral solution. It is found that the spreading of the boundary layers is rather gradual.

Free Convection From a Vertical Plate With Discontinuous Wall Temperature

1971 ◽  
Vol 93 (4) ◽  
pp. 349-356 ◽  
Author(s):  
Matthew Kelleher
Keyword(s):  
Experimental Data ◽  
Heat Flux ◽  
Free Convection ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Asymptotic Series ◽  
Series Expansions ◽  
Temperature Profiles ◽  
Comparison Of The Results

Free convection from a vertical plate with a step discontinuity in wall temperature is analyzed by using asymptotic series. Expansions for the velocity and temperature profiles are obtained in the region immediately above the discontinuity. By series truncation, the wall heat flux is obtained in terms of a simple polynomial. Calculations are made for Pr = 0.72 and 10.0 and for various wall-temperature ratios. Comparison of the results with experimental data and previous numerical solutions is good.

Study of the Laminar Free-Convection Wake Above an Isothermal Vertical Plate

1973 ◽  
Vol 95 (3) ◽  
pp. 289-294 ◽  
Author(s):  
N. E. Hardwick ◽  
E. K. Levy
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Fluid Motion ◽  
Heated Plate ◽  
Two Dimensional ◽  
Wake Region ◽  
Hot Wire ◽  
Near Wake ◽  
Steady Laminar ◽  
Finite Difference Techniques

The steady, laminar, two-dimensional wake above a thin vertical isothermal heated plate cooled by free convection was investigated theoretically and experimentally. The system of partial differential equations governing the fluid motion and heat transfer in the vicinity of the plate and in the near wake region was formulated and solved using finite difference techniques. Using air, the temperature and velocity profiles in the wake region were measured experimentally using a laser holographic interferometer and a constant temperature hot wire anemometer.

Near-similarity approximation for compressible, laminar boundary layers on adiabatic walls

1997 ◽  
Vol 211 (5) ◽  
pp. 285-294 ◽  
Author(s):  
H P Horton
Keyword(s):  
Differential Equations ◽  
Boundary Layers ◽  
Constant Pressure ◽  
Boundary Layer Stability ◽  
Temperature Profiles ◽  
Two Dimensional ◽  
Careful Choice ◽  
Laminar Boundary Layers ◽  
Gradient Parameter ◽  
Prandtl Numbers

Two-dimensional, compressible, laminar boundary layers with zero heat transfer and a constant pressure gradient parameter are considered. Although it is well known that exact similarity is, in general, only possible when the Prandtl number is equal to unity, it is shown here that, at least for Prandtl numbers in the range from 0.5 to 2.0, a careful choice of transformation gives partial differential equations in which the streamwise derivatives are practically negligible, irrespective of Mach number. The set of ordinary differential equations which results from setting the streamwise derivatives to zero is proposed as a useful approximation for generating families of velocity and temperature profiles, for use in database methods for analysing boundary layer stability, for example.

Free Convection Through Vertical Plane Layers of Non-Newtonian Power Law Fluids

1971 ◽  
Vol 93 (2) ◽  
pp. 164-171 ◽  
Author(s):  
A. F. Emery ◽  
H. W. Chi ◽  
J. D. Dale
Keyword(s):  
Free Convection ◽  
Vertical Plane ◽  
Constant Heat Flux ◽  
Experimental Measurements ◽  
Temperature Profiles ◽  
Flat Plates ◽  
Constant Heat ◽  
Layer Height ◽  
Power Law Fluids ◽  
Prandtl Numbers

Experimental measurements of the heat transferred from a constant heat flux hot wall across vertical plane layers of several pseudoplastic non-Newtonian fluids with generalized Prandtl numbers of 10–500 are reported for a range of Grashof moduli and layer height to width ratios. The rheological properties of the fluids are discussed and it is shown that the similarity analysis of free convection for constant-temperature vertical flat plates presented by Acrivos for infinite Prandtl numbers can be used to correlate the data. Several temperature profiles are given and compared to those measured in water.

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