A general analytical solution for heat conduction in cylindrical multilayer composite laminates

Kayhani, M. H.; Norouzi, M.; Delouei, A. Amiri

doi:10.1016/j.ijthermalsci.2011.09.002

Cited by 72 publications

(30 citation statements)

References 27 publications

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“…Darcy's law states that the volume average velocity through the porous material is proportional with the pressure gradient. In three dimensional flows, the Darcy's model [10] is:…”

Section: Momentum Equationsmentioning

confidence: 99%

Heat Transfer in Enclosure of Composite Material with Fibers Arranged in Various Geometrical Arrays

Dhaef¹

2015

IJCA

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This paper presents a numerical investigation for natural convection of air in a three dimensional inclined annulus enclosure. This study wills exam the effect of radius ratio of an annulus made from graphite/epoxy laminated composite material on heat transfer taking two types of optimization of effective thermal conductivity in consideration: minimization and maximization of thermal conductivity. The annulus enclosure is filled with porous media between two concentric cylinders with 12 fins attached to the inner cylinder. Two cases are taken for the inclination angle of the annulus: horizontal and vertical annulus. The system is under steady state condition and constant walls temperature boundary condition. The parameters affected on the system are modified Rayleigh number (10 ≤Ra * ≤ 500), the annulus inclination angle δ (0 o and 90 o ) and the radius ratio Rr= (RI/RO)=0.2, 0.3, 0.4 and 0.5.For all parameters, results showed that Nusselt number decrease with the decrease of the radius ratio Rr (which means larger gap) for the outer cold cylinder. the average Nu number increases with an increase in modified Rayleigh number and decrease with the increase of δ for high values of Ra * , but hardly affected by δ for low values of Ra * . The deviation between the average Nu for the maximization and minimization of the thermal conductivity is equal to 5.1% for horizontal annulus δ=0 o and 10% for vertical annulus δ=90 o . Local Nu increases with the length of the cylinder and the effect of the fins attached to the inner cylinder is more significant for the horizontal cylinder because of its hindering effect. A correlation for the average Nusselt number in terms of Ra * and δ, has been developed for the outer cold cylinder.

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“…Darcy's law states that the volume average velocity through the porous material is proportional with the pressure gradient. In three dimensional flows, the Darcy's model [10] is:…”

Section: Momentum Equationsmentioning

confidence: 99%

Heat Transfer in Enclosure of Composite Material with Fibers Arranged in Various Geometrical Arrays

Dhaef¹

2015

IJCA

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“…Kayhani et al [19] presented an exact solution of conductive heat transfer in a cylindrical composite laminate in the radial and azimuthal directions. Kayhani et al [20] further obtained a general analytical solution for heat conduction in cylindrical multilayered composite laminates in the radial and axial directions. Hosseini and Abolbashari [21] presented a unified formulation to analyze of temperature field in a thick hollow cylinder made of functionally graded materials with various grading patterns.…”

Section: Introductionmentioning

confidence: 99%

Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

Yıldırım¹

2017

International Journal of Engineering &Amp; Applied Sciences

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“…NOROUZI et al [16] presented an exact analytical solution for steady conductive heat transfer in multilayer spherical fiber reinforced composite laminates. KAYHANI et al [17] gave a steady analytical solution for heat conduction in a cylindrical multilayer composite laminate where the fiber direction may vary between layers. QIAN et al [18] studied the elasticity solution of the simply supported laminated rectangular plates subjected to uniform temperature load based on the exact three-dimensional thermoelasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Elasticity solution of laminated beams subjected to thermo-loads

Qian

Zhou

Liu

et al. 2015

J. Cent. South Univ.

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According to the two-dimensional (2-D) thermo-elasticity theory, the exact elasticity solution of the simply supported laminated beams subjected to thermo-loads was studied. An analytical method was presented to obtain the temperature, displacement and stress fields in the beam. Firstly, the general solutions of temperature, displacements and stresses for a single-layered simply supported beam were obtained by solving the 2-D heat conduction equation and the 2-D elasticity equations, respectively. Then, based on the continuity of temperature, heat flux, displacements and stresses on the interface of two adjacent layers, the formulae of temperature, displacements and stresses between the lowest layer and the top layer of the beam were derived out in a recurrent manner. Finally, the unknown coefficients in the solutions were determined by the use of the upper surface and lower surface conditions of the beam. The distributions of temperature, displacement and stress in the beam were obtained by substituting these coefficients back to the recurrence formulae and the solutions. The excellent convergence of the present method has been demonstrated and the results obtained by the present method agree well with those from the finite element method. The effects of surface temperatures, thickness, layer number and material properties of the plate on the temperature distribution were discussed in detail. Numerical results reveal that the displacements and stresses monotonically increase with the increase of surface temperatures. In particular, the horizontal stresses are discontinuous at the interface.

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A general analytical solution for heat conduction in cylindrical multilayer composite laminates

Cited by 72 publications

References 27 publications

Heat Transfer in Enclosure of Composite Material with Fibers Arranged in Various Geometrical Arrays

Heat Transfer in Enclosure of Composite Material with Fibers Arranged in Various Geometrical Arrays

Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

Elasticity solution of laminated beams subjected to thermo-loads

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