Heat transfer to a turbulent boundary layer with varying free-stream velocity and varying surface temperature—an experimental study

Moretti, P. M.; Kays, W. M.

doi:10.1016/0017-9310(65)90062-1

Cited by 191 publications

(57 citation statements)

References 2 publications

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“…By using the boundary conditions according to equations (13). the temperature distribution in the solid phase is easi ly calculated from equation (12) …”

Section: Temperature Dislribllliotj In the Solid Regionmentioning

confidence: 99%

“…In region III, the turbulent shear stress, -pl"' t", can be modelled with the help of a modified mixing length theory developed by Morelli and Kays [13). The eddy viscosity is given in dimensionless quantities by (26) where the well-known mi",mg length formula ofNikuradse with the damping factor, according to van Driest was used in equalion (26).…”

Section: Eer 117])mentioning

confidence: 99%

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Ice-formation phenomena for water flow inside a cooled parallel plate channel: An experimental and theoretical investigation of wavy ice layers

Beer

1993

International Journal of Heat and Mass Transfer

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“…By using the boundary conditions according to equations (13). the temperature distribution in the solid phase is easi ly calculated from equation (12) …”

Section: Temperature Dislribllliotj In the Solid Regionmentioning

confidence: 99%

Section: Eer 117])mentioning

confidence: 99%

Ice-formation phenomena for water flow inside a cooled parallel plate channel: An experimental and theoretical investigation of wavy ice layers

Beer

1993

International Journal of Heat and Mass Transfer

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“…This method can be applied to problems of nonuniform wall temperature by the superposition technique just mentioned, as has been demonstrated by Moretti and Kays [8]; a corresponding technique for prescribed non-uniform wall heat-flux could be developed.…”

Section: 2-present Status Of Theoretical Knowledgementioning

confidence: 99%

“…It can be easily seen that, when Np, = N,,,,, the new independent variable becomes the same as ut = ciu+ = 1. dy+ (14) Substituting the expression for the temperature profile and eliminating b from the two integral equations, namely (8) and (9) …”

Section: Solution Of the Integral Equationsmentioning

confidence: 99%

Heat and mass transfer in turbulent boundary layers

1968

International Journal of Heat and Mass Transfer

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The foundation is laid of a general theory of heat and mass transfer in turbulent boundary layers. Both the mathematical and the physical aspects of the theory are dealt with.The mathematical contribution mainly consists of an implicit, finitedifference procedure for solving the boundary-layer equations. The novel features of the procedure include : the employment of a grid which adjusts its width so as to conform to the thickness of the layer in which the dependent variables vary significantly ; and the use, near a wall, of algebraic relationships expressing the once-for-all integrations obtained by the neglect of the longitudinal convection there. Calculations are presented to demonstrate that the solution procedure is accurate, economical and widely applicable.It is pointed out that a good mathematical tool prepares the road for research into physical hypotheses.On the physical side, van Driest's hypothesis is used to illustrate the algebraic relationships for the region near a wall ; their validity is tested by reference to experimental data including some of the present author. 3. 4.This sequence of events has also influenced the layout of this thesis.The contribution made by the new calculation procedure appeared so significant that I have given it the pride of place in this thesis, the earlier methods being only briefly mentioned. The work (including my experiments) relating to the physical aspects has been presented as illustrative material.It is true that, in the course of time, the calculation procedure described here is also likely to be superseded. What will be of lasting value to me is the training I received from Professor Spalding. The A finite-difference solution procedurePage 48 Choice of co-ordinate system 48 Conservation equations in x--u co-ordinates 50 2.3The entrainment rates 51 2.4The difference equation 54 Slip values at boundaries 602.5-1 What are slip values 60 2.5-2 Slip-value relations for a wall boundary 62 2.5-3 Slip-value relations for a free boundary 65 2.5-4Slip-value relations for a symmetry-line boundary 66 2.6Treatment of special boundary conditions 68 2.6-1The case of prescribed total flux through the wall 68 2.6-2The case of a symmetry-line boundary 69 Solution of the difference equations 71 Miscellaneous matters 72 2.8-1Grid-control formulae 72 2.8-2Calculation of the normal distance 73 2.8-3A characteristic thickness of the layer 75 2.8-4Choice of the forward step 76 3.Capabilities of the solution procedure: demonstration and appreciation 77 Purpose of the chapter 77 Some boundary-layer calculations 77 3.2-1 Plane turbulent mixing layer 77 3.2-2Compressible laminar boundary layer on flat plate 80 3.2-3Compressible turbulent boundary layer on flat plate 82 3.2-4 General remarks 86 Achievements and shortcomings of the present method 87 Suggestions for future work 888. Illustrations Examination of validity of the relationships 103 Further developments 108 Summary of the relationships for turbulent flow 109 Implications of the mixing-length hypothesis 112 Purpose of...

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“…The latter paper is also confined to two-dimensional flow. Moretti and Kays (1965). A relationship among skin friction, heat transfer, and pressure gradient is presented.…”

mentioning

confidence: 99%

A Simplified Approach to the Analysis of Turbulent Boundary Layers in Two and Three Dimensions

White¹,

Lessmann²,

Christoph³

1972

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Heat transfer to a turbulent boundary layer with varying free-stream velocity and varying surface temperature—an experimental study

Cited by 191 publications

References 2 publications

Ice-formation phenomena for water flow inside a cooled parallel plate channel: An experimental and theoretical investigation of wavy ice layers

Ice-formation phenomena for water flow inside a cooled parallel plate channel: An experimental and theoretical investigation of wavy ice layers

Heat and mass transfer in turbulent boundary layers

A Simplified Approach to the Analysis of Turbulent Boundary Layers in Two and Three Dimensions

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