Thermoelastic response of a fin exhibiting elliptic thickness profile: An analtical solution

2008-03-01
A thermoelastic analytical solution of a variable thickness cooling fin problem is presented. A variable thickness annular fin mounted on a hot rotating rigid shaft is considered. The thickness of the fin is assumed to vary radially in a continuously variable nonlinear elliptic form. An energy equation that accounts for the conduction, convective heat loss from peripheral and edge surfaces, thickness variation and rotation is adopted. The thermoelastic equation is obtained under formal assumptions of plane stress and small strains. For given heat and centrifugal loads the temperature distribution in the fin and the corresponding state of stress are obtained by means of the analytical solutions of energy and thermoelastic equations, respectively. (C) 2007 Elsevier Masson SAS. All rights reserved.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES

Suggestions

Slip-flow heat transfer in microtubes with axial conduction and viscous dissipation - An extended Graetz problem
Cetin, Barbaros; Güvenç Yazıcıoğlu, Almıla; KAKAÇ, SADIK (Elsevier BV, 2009-09-01)
This study is an extension of the Graetz problem to include the rarefaction effect, viscous dissipation term and axial conduction with constant-wall-heat-flux thermal boundary condition. The energy equation is solved analytically by using general eigenfunction expansion. The temperature distribution and the local Nusselt number are determined in terms of confluent hypergeometric functions. The effects of the rarefaction, axial conduction and viscous dissipation on the local Nusselt number are discussed in t...
Thermoplastic response of a linearly hardening cylinder subjected to nonuniform heat source and convective boundary condition
Eraslan, Ahmet Nedim (Informa UK Limited, 2004-05-01)
An analytical model based on Tresca's yield criterion and its L associated flow rule is developed to analyze the thermoelastoplastic response of a linearly hardening cylinder subjected to a nonuniform heat source and convective heat transfer condition at the external boundary. Closed form solutions are obtained for a state of generalized plane strain in different stages of elastic-plastic deformation. Considering a cylinder that is constrained axially, the plastic deformation commences at the axis and depen...
Stress distributions in cooling fins of variable thickness with and without rotation
Eraslan, Ahmet Nedim (Informa UK Limited, 2005-08-01)
A computational model is developed to predict elastic and elastic-plastic stress distribution in a nonlinearly hardening cooling fin of variable thickness subject to centrifugal force. The model is based on a realistic conduction-convection mechanism, von Mises yield criterion, Henky's deformation theory and a Swift-type strain hardening law. Temperature dependency of modulus of elasticity, uniaxial yield limit, coefficient of thermal expansion, and thermal conductivity of the fin material is taken into acc...
THERMODYNAMIC QUANTITIES AT HIGH PRESSURES IN THE i AND theta PHASES OF SOLID NITROGEN DEDUCED BY RAMAN FREQUENCY SHIFTS FOR THE INTERNAL MODES IN LITERATURE
Yurtseven, Hasan Hamit (World Scientific Pub Co Pte Lt, 2013-04-10)
The pressure dependence of the Raman frequencies of the internal modes is analyzed (T = 300 K) for the phases i and theta of solid nitrogen using the experimental data from the literature. Through the mode Gruneisen parameter, the isothermal compressibility kappa(T), thermal expansion alpha(p) and the specific heat C-p - C-v are calculated as a function of pressure using the Raman data in these phases.
Surface-to-bed heat transfer for high-density particles in conical spouted and spout-fluid beds
Yaman, Onur; Külah, Görkem; KÖKSAL, MURAT (Elsevier BV, 2019-02-01)
Bed-to-surface heat transfer experiments from a vertically submerged cylindrical surface were conducted in laboratory-scale (D-c = 25 cm) conical spouted and spout-fluid beds at two different conical angles (31 degrees and 66 degrees) in the high particle density range (2500 kg/m(3) <= sigma(p) <= 6000 kg/m(3)). The effects of the bed design parameters (conical angle and inlet diameter of spouting gas entrance) and operating conditions (static bed height, particle size, density, and spouting and fluidizatio...
Citation Formats
A. N. Eraslan, “Thermoelastic response of a fin exhibiting elliptic thickness profile: An analtical solution,” INTERNATIONAL JOURNAL OF THERMAL SCIENCES, pp. 274–281, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47235.