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

Year 2023, Volume: 7 Issue: 1, 12 - 16, 15.07.2023

Abstract

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.

References

  • [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).
Year 2023, Volume: 7 Issue: 1, 12 - 16, 15.07.2023

Abstract

References

  • [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).
There are 12 citations in total.

Details

Primary Language English
Subjects Micro and Nanosystems
Journal Section Reviews
Authors

Mansur Mustafaoğlu This is me

Publication Date July 15, 2023
Submission Date March 1, 2023
Published in Issue Year 2023 Volume: 7 Issue: 1

Cite

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.