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Analytical Solution of Three-Dimensional Stable Conduction Heat Transfer on aComposite Plate with Internal Energy Generation

Yıl 2023, Cilt: 7 Sayı: 1, 12 - 16, 15.07.2023

Öz

In this study, an analytical solution is presented for the conductive heat transfer of a plate made of composite materials at stable conditions with energy generation and radiation flux within the composite plate. The proposed exact solution is useful for studying heat transfer in tanks and composite panels. In addition, the coefficient of thermal conductivity tensor for composite materials is introduced and a method for determining the coefficient based on the properties of the matrix is introduced. The heat transfer equation in the Cartesian coordinate system for composite materials is obtained when the fibers in each layer are wrapped around the plate. Then, using the method of separating the variables, an exact solution for this equation is presented under certain boundary conditions.

Kaynakça

  • [1] Hearmon RF. Equations for transforming elastic and piezoelectric constants of crystals. Acta Crystallographica (1957) 10(2):121–124.
  • [2] Huntington HB. The elastic constants of crystals. Solid state physics (1958) 7:213–351.
  • [3] Diffusion through laminated orthotropic cylinders: Begel House Inc. (1974).
  • [4] Golovchan VT, Artemenko, AG. Heat conduction of orthogonally reinforced composite material. Journal of engineering physics (1986) 51(2):944–949.
  • [5] Shi-qiang D, Jia-chun L. Homogenized equations for steady heat conduction in composite materials with dilutely-distributed impurities. Applied Mathematics and Mechanics (1983) 4(2):167–173.
  • [6] Greengard L, Lee J-Y. Electrostatics and heat conduction in high contrast composite materials. Journal of Computational Physics (2006) 211(1):64–76.
  • [7] Newnham P, Abrate S. Finite element analysis of heat transfer in anisotropic solids: application to manufacturing problems. Journal of reinforced plastics and composites (1993) 12(8):854–864.
  • [8] Sun Y, Wichman IS. On transient heat conduction in a onedimensional composite slab. International Journal of Heat and Mass Transfer (2004) 47(6-7):1555–1559.
  • [9] Onyejekwe OO. Heat conduction in composite media: a boundary integral approach. Computers & chemical engineering (2002) 26(11):1621–1632.
  • [10] Lu X, Tervola P, Viljanen M. Transient analytical solution to heat conduction in composite circular cylinder. International Journal of Heat and Mass Transfer (2006) 49(1-2):341–348.
  • [11] Halpin JC. Primer on Composite Materials Analysis, (Revised):CRC Press (1992). 16 International Journal of Innovative Research and Reviews 7(1) 12-16
  • [12] Amiri Delouei A, Norouzi M. Exact analytical solution for unsteady heat conduction in fiber-reinforced spherical composites under the general boundary conditions. Journal of Heat Transfer (2015) 137(10).
Yıl 2023, Cilt: 7 Sayı: 1, 12 - 16, 15.07.2023

Öz

Kaynakça

  • [1] Hearmon RF. Equations for transforming elastic and piezoelectric constants of crystals. Acta Crystallographica (1957) 10(2):121–124.
  • [2] Huntington HB. The elastic constants of crystals. Solid state physics (1958) 7:213–351.
  • [3] Diffusion through laminated orthotropic cylinders: Begel House Inc. (1974).
  • [4] Golovchan VT, Artemenko, AG. Heat conduction of orthogonally reinforced composite material. Journal of engineering physics (1986) 51(2):944–949.
  • [5] Shi-qiang D, Jia-chun L. Homogenized equations for steady heat conduction in composite materials with dilutely-distributed impurities. Applied Mathematics and Mechanics (1983) 4(2):167–173.
  • [6] Greengard L, Lee J-Y. Electrostatics and heat conduction in high contrast composite materials. Journal of Computational Physics (2006) 211(1):64–76.
  • [7] Newnham P, Abrate S. Finite element analysis of heat transfer in anisotropic solids: application to manufacturing problems. Journal of reinforced plastics and composites (1993) 12(8):854–864.
  • [8] Sun Y, Wichman IS. On transient heat conduction in a onedimensional composite slab. International Journal of Heat and Mass Transfer (2004) 47(6-7):1555–1559.
  • [9] Onyejekwe OO. Heat conduction in composite media: a boundary integral approach. Computers & chemical engineering (2002) 26(11):1621–1632.
  • [10] Lu X, Tervola P, Viljanen M. Transient analytical solution to heat conduction in composite circular cylinder. International Journal of Heat and Mass Transfer (2006) 49(1-2):341–348.
  • [11] Halpin JC. Primer on Composite Materials Analysis, (Revised):CRC Press (1992). 16 International Journal of Innovative Research and Reviews 7(1) 12-16
  • [12] Amiri Delouei A, Norouzi M. Exact analytical solution for unsteady heat conduction in fiber-reinforced spherical composites under the general boundary conditions. Journal of Heat Transfer (2015) 137(10).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mikro ve Nanosistemler
Bölüm Reviews
Yazarlar

Mansur Mustafaoğlu Bu kişi benim

Yayımlanma Tarihi 15 Temmuz 2023
Gönderilme Tarihi 1 Mart 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 7 Sayı: 1

Kaynak Göster

APA Mustafaoğlu, M. (2023). Analytical Solution of Three-Dimensional Stable Conduction Heat Transfer on aComposite Plate with Internal Energy Generation. International Journal of Innovative Research and Reviews, 7(1), 12-16.