Pohlhausen

Norris and Spofford [Tron.s. Am. Soc. Mech. Eng., 64, 489 (1942)] correlate their results for air by the dimensionless equation of Pohlhausen ... 

For turbulent flow on a rotating sphere or hemisphere, Sawatzki [53] and Chin [22] have analyzed the governing equations using the Karman-Pohlhausen momentum integral method. The turbulent boundary layer was assumed to originate at the pole of rotation, and the meridional and azimuthal velocity profiles were approximated with the one-seventh power law. Their results can be summarized by the... 

Karman-Pohlhausen method predicts a time for complete solidification which is too small by more than 40%. 

Pohlhausen, 1911 [1] solved these equations first, whereas Schmidt and Beckmann, 1930 [2] solved them for Pr = 0.733 in 1930. Ostrach, 1953 [3], solved the same equations for the range 0.01 to 1000. For free convection laminar boundary layer on a heated vertical plate in that range of Pr, the velocity and the temperature distributions are shown in Figs. 9.2 and 9.3, respectively. 

E Pohlhausen. Der Warmeaustausch Zwischen Festen Korpen und Flussigkeiten mit kleiner Reiburg and kleiner warmeleitung, Z Angew Math Mech, Vol 1 115, 1911. 

The relationship of Pohlhausen was used for the heat transfer in the separation space (22) ... 

Pohlhausen (P4) in 1921 presented the direct solutions of the convection equations for the laminar boundary layer on the upstream portion of a flat... 

In the integral condition (3.165) for momentum the velocity profile is approximated by a polynomial first suggested by Pohlhausen [3.6], such that... 

These equations were first solved by Pohlhausen [3.48] for air with a Prandtl number Pr = 0.733 by series expansion and later numerically by Ostrach [3.47] for a wide range of Prandtl numbers, 0.008 35 < Pr < 1000. Fig. 3.45 illustrates the normalised velocities in the form... 

Pohlhausen, E. Der Warmeaustausch zwischen festen Korpern und Fliissigkeiten mit kleiner Reibung. Z. Angew. Math. Mech. 1 (1921) 115-121... 

Pohlhausen, E., Warmeaustausch zwischen festen Korpern und Flussigkeiten mit kleiner Reibung und kleiner Warmeleitung, Zs. angew Math. Mech. (ZAMM), Bd. 1, S. 15, 1921. 

The simplest situation, that of the transport from a flat plate at zero incidence to a flowing stream, was considered in Section 2.3. The solution to the problem of ranss transfer with a constant surface composition based on Pohlhausen s bent transfer solution cen he written in the formt... 

Pohlhausen [2] utilized the Blasius coordinate system and velocity distribution to evaluate the convective heating processes within the constant-property boundary layer on a flat plate. He solved two problems ... 

The latter is the plate thermometer or adiabatic wall problem. Eckert and Drewitz [3] showed that the general problem of heat transfer to a uniform-surface-temperature plate in constant-property high-speed flow is merely the superposition of the two Pohlhausen solutions. 

The local Stanton number found by Pohlhausen is represented very well by... 

FIGURE 6.7 Effects of viscosity changes across a laminar liquid boundary layer on surface shear and heat flux—reference shear from Blasius solution with free-stream properties, reference heat flux from Pohlhausen solution with wall properties [7]. 

It is also possible to employ the von Kdrman-Pohlhausen integral method (see, e.g.. Been, 1998, pp. 353-356) to develop a starting concentration profile for reactant A in the inlet region, subject to the five requirements outlined above. This method conserves mass over the thickness of the mass transfer boundary... 

Solving the system of equations for conservation of energy, momentum, and mass for the longitudinal flow past a plate at constant wall temperature results in the following equation for the heat transfer coefficient (Pohlhausen 1921) ... 

Millsaps, K., Pohlhausen, K. (1952). Heat transfer by laminar flow from a rotating plate. 

In 1963, Barua assumed that the flow through curved pipe consisted of an inviscid core plus a thin boundary layer, the flow in the core lay in planes parallel to the plane of symmetry he used Pohlhausen momentum integral method to solve the... 

Ito [95] improved the boundary layer model of Barua [91] and used Pohlhausen integral method to solve it. He gave the following correlation. 

Pohlhausen (Kl) was able to show that the relation between the hydrodynamic and thermal boundary layers for fluids with Prandtl number >0.6 gives approximately... 

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