Thermal behavior of a finite hollow cylinder in context of fractional thermoelasticity with convection boundary conditions

Kumar, Navneet; Kamdi, Dilip

doi:10.1080/01495739.2020.1776182

Cited by 13 publications

(5 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The research aims to explore the impact of fractional heat conduction on thermoelasticity using a quasi-static methodology. The authors Kumar and Kamdi (2020), in their Eq. ( 49), mistakenly neglected the Laplace convolution theorem during inverse transform calculation for temperature distribution, which was rectified and taken care of in our calculation.…”

Section: Discussionmentioning

confidence: 99%

Thermoelastic response of a finite thick annular disc with radiation-type conditions via time fractional-order effects

Chaware,

Anwar,

Prayagi

2024

The Scientific Temper

View full text Add to dashboard Cite

The study investigates thermal interactions in a two-dimensional time fractional-order thermoelastic problem in a homogeneous, isotropic, and perfectly conducting thick annular disc subjected to a point impulsive sectional heat source. We utilize unconventional integral transformation techniques to study the thermoelastic response of a disc, in which an internal heat source is generated according to the linear function of the temperature and radiation-type boundary conditions. The time fractional-order thermoelastic theory is used to determine temperature, displacement, and stresses through a series of Bessel functions. Numerical calculations analyze fractional-order parameters on aluminum discs, incorporating time-based fractional derivatives into field equations for practical engineering scenarios, enhancing thermal properties analysis.

show abstract

Section: Discussionmentioning

confidence: 99%

Thermoelastic response of a finite thick annular disc with radiation-type conditions via time fractional-order effects

Chaware,

Anwar,

Prayagi

2024

The Scientific Temper

View full text Add to dashboard Cite

show abstract

“…Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation [1,25] On substituting ( 21) and ( 22) in ( 16) to (20), the corresponding resultant stress function in plane strain are obtained as…”

Section: Displacement Expression For Thermal Stressesmentioning

confidence: 99%

“…Kumar and Kumar [19] did thermoelastic analysis of a beam with diffusion by Eigen value approach. the Axisymmetric problem of 2-D was studied to obtain the temperature and stresses on cylinder [20] The integral transformation applied to investigate heat transfer behavior (time fractional) for a non-homogeneous thick hollow cylinder subjected to heat [21]. Lamba and Deshmukh [22] studied the problem with hygrothermal effect in a finite solid cylinder and successfully determined its thermal stress and temperature function.…”

Section: Introductionmentioning

confidence: 99%

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Thakare¹,

Warbhe²

2022

SMSJ

View full text Add to dashboard Cite

The proposed study emphasis on to examine the temperature and stress distribution on functionally graded thermosensitive rectangular plate. Caputo derivative of order 0 to 2 is applied to analyses the rectangular plate when subjected to the convection heat. Present article illustrated the methodology and the mathematical model opt for framing the expression to address the issues regarding the properties of ceramic based material affected by the temperature. The present article studied the Goodier’s displacement function and Boussinesq Harmonic functions for developing the mathematical model for the rectangular plate and other engineering applications.

show abstract

“…The thermoelastic theory which deals with concept of two relaxation times or having temperature dependency is known as second generalization. The thermoelastic theory with two relaxation times was developed by Green and Lindsay [3].From last few years, a lot of research work has developed in theory of fractional [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Fractional Thermal Analysis in a Generalized two Dimensional Infinite half Space with Heat Source

Roy¹,

Sahu²,

Perveen

2022

SMSJ

View full text Add to dashboard Cite

A generalized time fractional thermoelastic study under one relaxation time consideration is presented here for the two dimensional model having infinite half space. To analyze the thermal response of the problem, the infinite space is subjected to periodical varying heat source with respect to time. Futher, time derivative involved in heat transfer equation is of Caputo type having order  . Certains thermomechanical boundaries are applied at lower surface. Here the solution is obtained directly by employing Laplace and Hankel transformation but inversion for Laplace is evaluated by numerical method as given by Gaver-Stehfast algorithm. Properties of Copper metal is selected for the numerical analysis and results of temperature and stress distributions are presented graphically by using MATLAB software.

show abstract

Thermal behavior of a finite hollow cylinder in context of fractional thermoelasticity with convection boundary conditions

Cited by 13 publications

References 14 publications

Thermoelastic response of a finite thick annular disc with radiation-type conditions via time fractional-order effects

Thermoelastic response of a finite thick annular disc with radiation-type conditions via time fractional-order effects

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Fractional Thermal Analysis in a Generalized two Dimensional Infinite half Space with Heat Source

Contact Info

Product

Resources

About