Two-Dimensional Modeling of Heat Transfer Through Sandwich Plates With Inhomogeneous Boundary Conditions on the Faces

This paper presents a thermal model describing heat transfer in multispan sandwich rectangular plates. The model is time-dependent and two-dimensional. Complex thermal phenomena occurring in light cores (honeycomb) and thermal contact resistance are taken into account in the model. Particular attention is paid to the boundary conditions on the faces of the plate: radiative and nonuniform convective exchange are taken into account. The global temperature solution for stationary cases is developed on trigonometric and exponential functions bases. The properties of the Laplace transform are used to solve time-dependent cases. Validation experiments are carried out in a wind tunnel ring for two-span plates submitted to convective exchanges on one face; the same configuration is reproduced for an aluminum sandwich plate in an industrial set-up bench. Experimental results agree well with the numerical simulation.

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Approximate Calculation of Multidimensional Solidification by Using Conduction Shape Factors

Journal of Heat Transfer ◽

10.1115/1.3245073 ◽

1982 ◽

Vol 104 (1) ◽

pp. 8-12 ◽

Cited By ~ 4

Author(s):

N. Shamsundar

Keyword(s):

Heat Transfer ◽

Boundary Conditions ◽

Approximate Calculation ◽

Time Dependent ◽

Freezing Rate ◽

Two Dimensional ◽

Small Temperature ◽

Shape Factors ◽

Simple Equations

When solidification occurs with conduction controlling and small temperature differences present, quasi-steady models become advantageous. In this paper, the use of conduction shape factors to predict freezing rate and heat transfer in various two-dimensional objects is investigated. Simple equations for calculating these quantities are obtained, and compared to existing results. The use of shape factors to model solidification with time-dependent boundary conditions is illustrated.

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Inverse estimation of boundary conditions with forced convection heat transfer in two dimensional channels

Heat and Mass Transfer ◽

10.1007/s00231-018-2456-6 ◽

2018 ◽

Vol 55 (7) ◽

pp. 1927-1935

Author(s):

Marziyeh Shafipour ◽

Ali Safavinejad ◽

Mahdi Abbas Zadeh

Keyword(s):

Heat Transfer ◽

Boundary Conditions ◽

Forced Convection ◽

Convection Heat Transfer ◽

Two Dimensional ◽

Convection Heat ◽

Forced Convection Heat Transfer ◽

Inverse Estimation

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Heat Transfer Boundary Conditions in the RELAP5-3D Code

Volume 3: Thermal Hydraulics; Instrumentation and Controls ◽

10.1115/icone16-48154 ◽

2008 ◽

Author(s):

Richard A. Riemke ◽

Cliff B. Davis ◽

Richard R. Schultz

Keyword(s):

Heat Transfer ◽

Boundary Conditions ◽

Surface Temperature ◽

Volume Fraction ◽

Control Variable ◽

Time Dependent ◽

Fluid Temperature ◽

Transfer Coefficients ◽

Heat Transfer Coefficients ◽

General Table

The heat transfer boundary conditions used in the RELAP5-3D computer program have evolved over the years. Currently, RELAP5-3D has the following options for the heat transfer boundary conditions: (a) heat transfer correlation package option, (b) non-convective option (from radiation/conduction enclosure model or symmetry/insulated conditions), and (c) other options (setting the surface temperature to a volume fraction averaged fluid temperature of the boundary volume, obtaining the surface temperature from a control variable, obtaining the surface temperature from a time-dependent general table, obtaining the heat flux from a time-dependent general table, or obtaining heat transfer coefficients from either a time- or temperature-dependent general table). These options will be discussed, including the more recent ones.

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A unique technique for analytical solution of 2-D dual phase lag bio-heat transfer problem with generalized time-dependent boundary conditions

International Journal of Thermal Sciences ◽

10.1016/j.ijthermalsci.2019.106139 ◽

2020 ◽

Vol 147 ◽

pp. 106139 ◽

Cited By ~ 3

Author(s):

Pranay Biswas ◽

Suneet Singh ◽

Atul Srivastava

Keyword(s):

Heat Transfer ◽

Analytical Solution ◽

Boundary Conditions ◽

Transfer Problem ◽

Time Dependent ◽

Heat Transfer Problem ◽

Phase Lag ◽

Dual Phase ◽

Generalized Time

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Bifurcations of Numerically Simulated Marangoni Flows in Floating Zones

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127497001035 ◽

1997 ◽

Vol 07 (06) ◽

pp. 1295-1305

Author(s):

C. Menke

Keyword(s):

Heat Transfer ◽

Steady State ◽

Marangoni Number ◽

Control Parameter ◽

Thermocapillary Convection ◽

Period Doubling ◽

Time Dependent ◽

Temperature Fields ◽

Two Dimensional ◽

Period Doubling Bifurcations

Marangoni or thermocapillary convection in a two-dimensional cylindrical half zone configuration under microgravity is studied numerically. The time-dependent simulations take into account convection and conduction in the melt, heat transfer between the melt and the ambient, and deformations of the free melt/gas surface of the half zone. A modified Marker and Cell (MAC) method is used to compute the flow and the temperature fields. The algorithm is applied especially to silicon melts. Above a critical temperature difference in the melt, the steady state becomes unstable and oscillatory thermocapillary convection occurs. The relevant control parameter for the onset of oscillations is the Marangoni number. As the Marangoni number increases, the phenomenon of period doubling is observed in the simulations. After a sequence of period doubling bifurcations, the flow becomes turbulent.

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