Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder

Navneet Kumar Lamba

Makale detayları

Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder

Yazarlar:

Navneet Kumar Lamba

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Fluid Mechanics and Thermal Engineering (Other)

Dergi:

Journal of Thermal Engineering Vol.11 Issue 1, pp.240-253

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001343582

pISSN:

2148-7847

Anahtar kelimeler:

Özet:

 Space fractional differential operators are used to study long-range interactions, and time differential operators handle memory effects. A semi-infinite circular cylinder is taken into consideration to analyse both effects in a two-dimensional thermoelastic situation where heat conduction is influenced by internal heat generation. A prescribed jump function is applied to the bottom of the semi-infinite circular cylinder, and the time-dependent heat flux happens at the curved edge of the cylinder. The transformative approach of Laplace, Fourier, and Hankel was used to solve the governing equation of heat transfer with Caputo and the finite fractional derivatives of Riesz. The outcomes are expressed in terms of the Bessel function series. The numerical calculations are performed with the material properties of pure copper, and the graphical representations of the thermal distributions are successfully plotted.

 Space fractional differential operators are used to study long-range interactions, and time differential operators handle memory effects. A semi-infinite circular cylinder is taken into consideration to analyse both effects in a two-dimensional thermoelastic situation where heat conduction is influenced by internal heat generation. A prescribed jump function is applied to the bottom of the semi-infinite circular cylinder, and the time-dependent heat flux happens at the curved edge of the cylinder. The transformative approach of Laplace, Fourier, and Hankel was used to solve the governing equation of heat transfer with Caputo and the finite fractional derivatives of Riesz. The outcomes are expressed in terms of the Bessel function series. The numerical calculations are performed with the material properties of pure copper, and the graphical representations of the thermal distributions are successfully plotted.

 Space fractional differential operators are used to study long-range interactions, and time differential operators handle memory effects. A semi-infinite circular cylinder is taken into consideration to analyse both effects in a two-dimensional thermoelastic situation where heat conduction is influenced by internal heat generation. A prescribed jump function is applied to the bottom of the semi-infinite circular cylinder, and the time-dependent heat flux happens at the curved edge of the cylinder. The transformative approach of Laplace, Fourier, and Hankel was used to solve the governing equation of heat transfer with Caputo and the finite fractional derivatives of Riesz. The outcomes are expressed in terms of the Bessel function series. The numerical calculations are performed with the material properties of pure copper, and the graphical representations of the thermal distributions are successfully plotted.

 Space fractional differential operators are used to study long-range interactions, and time differential operators handle memory effects. A semi-infinite circular cylinder is taken into consideration to analyse both effects in a two-dimensional thermoelastic situation where heat conduction is influenced by internal heat generation. A prescribed jump function is applied to the bottom of the semi-infinite circular cylinder, and the time-dependent heat flux happens at the curved edge of the cylinder. The transformative approach of Laplace, Fourier, and Hankel was used to solve the governing equation of heat transfer with Caputo and the finite fractional derivatives of Riesz. The outcomes are expressed in terms of the Bessel function series. The numerical calculations are performed with the material properties of pure copper, and the graphical representations of the thermal distributions are successfully plotted.

Makale detayları

Impact of memory and long-range interaction in a two-dimensional semi-infinite solid cylinder

Yazarlar:

Navneet Kumar Lamba

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Fluid Mechanics and Thermal Engineering (Other)

Dergi:

Journal of Thermal Engineering Vol.11 Issue 1, pp.240-253

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001343582

pISSN:

2148-7847

Caputo Fractional Derivative

Integral Transformation

Mittag-Leffler Function

Riesz Fractional Derivative

Solid Circular CylinderTemperature

Thermal Stresses

Two Dimensional

Sayı

Makale detayları

Yazarlar: Navneet Kumar Lamba

Yayıncı: Yildiz Technical University

Ana Başlıklar: Fluid Mechanics and Thermal Engineering (Other)

Dergi: Journal of Thermal Engineering Vol.11 Issue 1, pp.240-253

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001343582

pISSN: 2148-7847

Sayı

Yazarlar:

Navneet Kumar Lamba

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Fluid Mechanics and Thermal Engineering (Other)

Dergi:

Journal of Thermal Engineering Vol.11 Issue 1, pp.240-253

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001343582

pISSN:

2148-7847