Numerical solution of thermal entry length problem with variable viscosities and viscous dissipation

Krishnan, K. N.; Sastri, V. M. K.

doi:10.1007/bf01682608

Cited by 10 publications

(3 citation statements)

References 3 publications

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“…In Fig. 4 axial velocity profiles for heating and cooling are shown and compared with analytical [3 ] and numerical [5] solutions. This situation is shown in Fig.…”

Section: Basic Equationsmentioning

confidence: 99%

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The effects of viscous dissipation on laminar heat transfer to power law Ruids in tubes

Gryglaszewski¹,

Nowak²,

Stacharska-Targosz³

1980

Wärme- und Stoffübertragung

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Abstract. This work is concerned with laminar heat transfer in circular tubes to power law fluids with temperature-dependent rheological properties. Basic equations governing the problem under consideration are derived including effects of viscous dissipation but neglecting internal heat generation. The derived equations are solved numerically by means of finite-difference scheme and for the boundary conditions of constant wall temperature. The results are presented in form of graphs and compared to the computations carried out by other authors. A very good agreement is stated. The present work is intended to be an extension of the paper which has been recently published by Krishnan and Sastri [53.

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“…In Fig. 4 axial velocity profiles for heating and cooling are shown and compared with analytical [3 ] and numerical [5] solutions. This situation is shown in Fig.…”

Section: Basic Equationsmentioning

confidence: 99%

“…Es wurde dabei eine recht gute Ubereinstimmung festgestellt. Der hier vorliegende Beitrag sell als eine Verallgemeinerung des Aufsatzes [5] gehalten werden, der neulich in dieser Zeitschrift yon Krishnan und Sastri verSffentlicht wurde. The following analysis is subject to certain restrictions, namely :…”

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The effects of viscous dissipation on laminar heat transfer to power law Ruids in tubes

Gryglaszewski¹,

Nowak²,

Stacharska-Targosz³

1980

Wärme- und Stoffübertragung

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show abstract

“…Some of these results are summarized in Shah and London (1978), Shah and Bhatti (1987) and Kays and Crawford (1993). Additionally, also available in the literature is a great deal of information on the effects of viscous dissipation (Krishnan and Sastri, 1978;Lawal and Mujumdar, 1985) and fluid axial conduction (Vick and Ozisik, 1981;Bilir, 1992;Olek, 1998). In the last fifty years, many extensions of the widely known Graetz problem (or Graetz-Nusselt problem) and the Lévêque solution have been proposed; in addition, the analyses of the accuracy of analytical and numerical results have received attention.…”

Section: Introductionmentioning

confidence: 99%

Forced convection to laminar flow of liquid egg yolk in circular and annular ducts

Bernardi

Silveira

Telis

et al. 2009

Braz. J. Chem. Eng.

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-The steady-state heat transfer in laminar flow of liquid egg yolk -an important pseudoplastic fluid food -in circular and concentric annular ducts was experimentally investigated. The average convection heat transfer coefficients, determined by measuring temperatures before and after heating sections with constant temperatures at the tube wall, were used to obtain simple new empirical expressions to estimate the Nusselt numbers for fully established flows at the thermal entrance of the considered geometries. The comparisons with existing correlations for Newtonian and non-Newtonian fluids resulted in excellent agreement. The main contribution of this work is to supply practical and easily applicable correlations, which are, especially for the case of annulus, rather scarce and extensively required in the design of heat transfer operations dealing with similar shear-thinning products. In addition, the experimental results may support existing theoretical analyses.

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Die nichtisotherme, laminare, stationäre Spaltströmung einer Newtonschen Flüssigkeit

Nowak¹,

Rup²

1980

Wärme- und Stoffübertragung

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Numerical solution of thermal entry length problem with variable viscosities and viscous dissipation

Cited by 10 publications

References 3 publications

The effects of viscous dissipation on laminar heat transfer to power law Ruids in tubes

The effects of viscous dissipation on laminar heat transfer to power law Ruids in tubes

Forced convection to laminar flow of liquid egg yolk in circular and annular ducts

Die nichtisotherme, laminare, stationäre Spaltströmung einer Newtonschen Flüssigkeit

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