Conjugate convective heat transfer problems

Luikov, A.V.

doi:10.1016/0017-9310(74)90087-8

Cited by 174 publications

(80 citation statements)

References 1 publication

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“…Equation (22) will become indeterminate for positive k while for negative k, 1  will converge to a limiting value, this is explained with more details in [4,5,12]. The solution for N1(Z) with respect to  is:…”

Section: Solutionmentioning

confidence: 99%

“…The temperature distribution in a horizontal flat plate of finite thickness was analyzed by Luikov [1] and Payvar [2]. In this conjugate problem the lower surface was maintained at a uniform temperature, while the upper surface was transferring heat to a laminar boundary layer by convection.…”

Section: Introductionmentioning

confidence: 99%

“…In this conjugate problem the lower surface was maintained at a uniform temperature, while the upper surface was transferring heat to a laminar boundary layer by convection. Two approximate solutions were presented by Luikov [1], based respectively on differential and integral analyses. The first solution was performed considering low Prandtl number assumption, while the second solution was conducted using polynomial forms for the velocity and temperature profiles.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

2015

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Analytical solutions are developed to work out the two-dimensional (2D) temperature changes of flow in the passages of a plate heat exchanger in parallel flow and counter flow arrangements. Two different flow regimes, namely, the plug flow and the turbulent flow are considered. The mathematical formulation of problems coupled at boundary conditions are presented, the solution procedure is then obtained as a special case of the two region Sturm-Liouville problem. The results obtained for two different flow regimes are then compared with experimental results and with each other. The agreement between the analytical and experimental results is an indication of the accuracy of solution method.

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Section: Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

2015

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“…In this particular method the stability is not dependent on the Biot number if the temperature at the interface is updated every iteration, as in the present implementation. The conjugate heat transfer capability of the solver has been previously validated [16] using the analytical solution of Luikov for a flat plate [25] and on a film cooled surface (Martiny et al [26]), not shown in this work.…”

Section: Tab 1 Operative Test Matrixmentioning

confidence: 99%

The benefit of high-conductivity materials in film cooled turbine nozzles

Montomoli

Massini

Yang

et al. 2012

International Journal of Heat and Fluid Flow

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This study presents an experimental and numerical investigation of the beneficial effect of higher conductivity materials in HP turbine nozzles. Most of the literature studies focus on the maximum temperature that a nozzle can withstand, whereas the effect of thermal gradients is often neglected. However thermal gradients have higher influence on the life of the components and they have to be given careful consideration. In this work it is shown that thermal gradients are reduced by using high conductivity materials and, as a consequence, the nozzles life is appreciably increased.A representative film cooled leading edge with an internal impingement plate was studied experimentally at Texas AM University. Two materials were used, namely polycarbonate and stainless steel, in order to highlight the impact of conduction on coolant effectiveness. Numerically conjugate heat transfer simulations have been carried out with an in house solver to analyse in detail the impact of conduction and internal convection. Both experimental and numerical results show that by increasing the conductivity in the solid region, the thermal gradients are strongly reduced. Numerically it is shown that using inserts of nickel-aluminide alloys in nozzles may reduce the thermal gradients from 3 to 4 times if compared to nowadays design.

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“…The velocity profile on the inlet surface is flat. To validate the code a comparison of CFD results to analytical solution of Luikov [13] has been performed. This analytical solution has been chosen because it gives the temperature profile normal to the wall in both fluid and solid field.…”

Section: Flow Field Over a Flat Platementioning

confidence: 99%

A finite-volume method for the conjugate heat transfer in film cooling devices

Montomoli

Adami

Martelli

2008

Proceedings of the Institution of Mechanical Engineers, Part A:

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The present work concerns the activity performed to upgrade an in house finite volume CFD solver for computing heat transfer in gas turbine cooling devices. The "conjugate simulation" of fluid heat transfer and metal heat conduction has been considered. To this aim the original code has been coupled to a new one solving the Fourier equation in the solid domain. This modification allows the "conjugate heat transfer" investigation in the fluid and solid domains at the same time.The approach has been validated through two different test-cases. The first one is a two dimensional laminar flow over a flat plate, the second one is a film-cooled plate. A more complex application is also shown as an example of complete film cooled stage. In this example the complete cooling system of the nozzle has been modeled, including the two plenums and six rows of cooling channels as well.

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Conjugate convective heat transfer problems

Cited by 174 publications

References 1 publication

Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

The benefit of high-conductivity materials in film cooled turbine nozzles

A finite-volume method for the conjugate heat transfer in film cooling devices

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