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Boundary value problems of heat conduction

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The article was published on 1968-01-01 and is currently open access. It has received 846 citations till now. The article focuses on the topics: Boundary value problem & Thermal conduction.

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A one-dimensional model for the heat conduction in ring-like body

TL;DR: In this paper, the authors defined the area of the cross section Bi Fourier's coefficients (i = 0, 1, 2,... ) c specific heat C thermal cross-sectional property defined by Eq. (14) Dk, Ek Fourier coefficients (dk, eφ, ez unit vectors of the cylindrical coordinate system (O; r, φ, z) fi = fi(φ) eigenfunction (i.
Journal Article

An inverse steady state thermal stresses in a limiting thick circular plate with internal heat generation

TL;DR: In this article, the effects of internal heat generation in terms of stresses along radial direction and modify Kulkarni V. S. (2008) have been computed numerically and illustrated graphically.
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Quasi-static Thermal Deflection of a Thin Clamped Hollow Circular Disk Due to Heat Generation

TL;DR: In this article, the thermal deflection in a thin clamped hollow circular disk defined as a ≤ r ≤ b; 0 ≤ z ≤ h under an unsteady temperature field due to internal heat generation within it is investigated.
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Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped

TL;DR: In this paper, the problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered and the heat conduction equation (HCE) of the region is described by time HC of fractional order with Caputo derivative form.
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Thermal stresses in two‐phase composite media

TL;DR: In this article, a two-phase composite slab and a concentric solid sphere were considered, and the maximum transverse (or tangential) stress was located at the surface for both slab and sphere.