The prediction of heat and mass transfer coefficients for turbulent flow in pipes at all values of the Prandtl or Schmidt number

Kropholler, H. W.; Carr, A.D.

doi:10.1016/0017-9310(62)90194-1

Cited by 19 publications

(5 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since then many authors, for instance Kutateladze [126], wasan and Wilke [127] and Kropholler and Carr [128], have presented improvements of the Von Karmlbl analysis by assuming a particular distribution of vttv'i/v in the wall region. In fact any of the equations (2.…”

Section: A the Calculation Of Turbulent Heat Transfermentioning

confidence: 99%

Experimental Determination of the Turbulent Prandtl Number in a Developing Temperature Boundary Layer

Blom¹

1970

Proceeding of International Heat Transfer Conference 4

View full text Add to dashboard Cite

Section: A the Calculation Of Turbulent Heat Transfermentioning

confidence: 99%

Experimental Determination of the Turbulent Prandtl Number in a Developing Temperature Boundary Layer

Blom¹

1970

Proceeding of International Heat Transfer Conference 4

View full text Add to dashboard Cite

“…The turbulent core for r+ above 30, also for which e = e" Lin et al (1953) recognized turbulence in the "laminar sublayer" and suggested introduction of an eddy of magnitude t/v = (r+/14.5)3 into the laminar layer. Kropholler and Carr (1962) used the eddy concept of Lin et al with a four-region velocity profile to obtain a correlation for heat and mass transfer. Total diffusivity for momentum, heat, and mass was assumed to be equal.…”

mentioning

confidence: 99%

Momentum, Heat, and Mass Transfer Analogy for Turbulent Flow in Circular Pipes

Hughmark¹

1969

Ind. Eng. Chem. Fund.

View full text Add to dashboard Cite

A numerical integration of equations for the turbulent flow velocity profile has been used to calculate heat and mass transfer coefficients inside a smooth circular pipe. The Marchello and Toor mixing model is used for thermal and mass diffusivity in the wall region. Assumption of thermal diffusivity equal to momentum diffusivity for the central core gives good agreement with experimental heat transfer data. An eddy frequency determined from the Shaw and Hanratty experimental data is superimposed on the region near the pipe wall to agree with experimental mass transfer data at Schmidt numbers up to 100,000. The model is also applicable to non-Newtonian fluids because the local apparent viscosity can be related to the local shearing stress.ECENT experimental data for turbulent flow mass transfer R in smooth circular pipes at Schmidt numbers of 450 to 100,000 (Harriott and Hamilton, 1965;Kishinevsky et al., 1966) provide a severe test of the correlations for momentum and mass transfer. The data of Harriott and Hamilton show that for a Reynolds number of 10,000, only the Friend and Metzner (1958) correlation gives reasonable agreement with the experimental mass transfer coefficients.Several attempts have been made to use the velocity profile for turbulent flow to obtain temperature or concentration profiles at uniform flux and thus predict heat or mass transfer coefficients. Martinelli (1 947) divided the velocity profile into three parts:1. The "laminar sublayer" for r + from 0 to 5 in which

show abstract

“…Let us consider a cascade of n ideally mixed continuous tank reactors with equal volumes (and equal temperature). The transient behavior corresponding to a stepwise change of inlet reactant concentration from c¡ (system initially in steady conditions) to c-¡ is given by (5)…”

mentioning

confidence: 99%

“…In either case with ordinary diffusion the off-diagonal terms of the matrix which represents coupling between the various components are generally not all zero (7). However, for mixtures of like components or at certain limiting concentrations (the diffusivity matrix is concentration-dependent) the off-diagonal terms may vanish (3,5). Since this represents a considerable mathematical simplification, recent authors (7.…”

mentioning

confidence: 99%

Communication. Mass Transfer in Horizontal Annular Gas-Liquid Flow

Hughmark¹

1965

Ind. Eng. Chem. Fund.

View full text Add to dashboard Cite

The prediction of heat and mass transfer coefficients for turbulent flow in pipes at all values of the Prandtl or Schmidt number

Cited by 19 publications

References 7 publications

Experimental Determination of the Turbulent Prandtl Number in a Developing Temperature Boundary Layer

Experimental Determination of the Turbulent Prandtl Number in a Developing Temperature Boundary Layer

Momentum, Heat, and Mass Transfer Analogy for Turbulent Flow in Circular Pipes

Communication. Mass Transfer in Horizontal Annular Gas-Liquid Flow

Contact Info

Product

Resources

About