Analytical Breakthrough of Pennes’ Bioheat Model in Malignant Tissues Exposed to Thermal Radiation: In Silico Investigation with Fractional-Order Three-Phase Lag

2021 ◽  
pp. 275-290
Author(s):  
Sharduli ◽  
Iqbal Kaur ◽  
Kulvinder Singh
Keyword(s):  
Thermal Radiation ◽  
Fractional Order ◽  
In Silico ◽  
Phase Lag ◽  
Three Phase

scholarly journals Plane wave in non-local semiconducting rotating media with Hall effect and three-phase lag fractional order heat transfer

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Iqbal Kaur ◽  
Kulvinder Singh
Keyword(s):  
Plane Wave ◽  
Fractional Order ◽  
Density Wave ◽  
Transverse Displacement ◽  
Phase Lag ◽  
Wave Characteristics ◽  
Three Phase ◽  
Displacement Wave ◽  
Non Local ◽  
Two Temperatures

AbstractThis paper deals with the propagation of the plane wave in a nonlocal magneto-thermoelastic semiconductor solid with rotation. The fractional-order three-phase lag theory of thermoelasticity with two temperatures has been applied. When a longitudinal wave is incident on the surface z = 0, four types of reflected coupled longitudinal waves (the coupled longitudinal displacement wave, the coupled thermal wave, coupled carrier density wave, and coupled transverse displacement wave) are identified. The plane wave characteristics such as phase velocities, specific loss, attenuation coefficient, and penetration depth of various reflected waves are computed. The effects of two temperatures, non-local parameter, fractional order parameter, and Hall current on these wave characteristics are illustrated graphically with the use of MATLAB software.

Fractional order theory in thermoelastic solid with three-phase lag heat transfer

2011 ◽  
Vol 82 (4) ◽  
pp. 557-572 ◽  
Author(s):  
Magdy A. Ezzat ◽  
Ahmed S. El Karamany ◽  
Mohsen A. Fayik
Keyword(s):  
Heat Transfer ◽  
Fractional Order ◽  
Order Theory ◽  
Phase Lag ◽  
Three Phase ◽  
Thermoelastic Solid

scholarly journals Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model

2022 ◽  
Vol 2022 ◽  
pp. 1-13
Author(s):  
S. H. Elhag ◽  
Fatimah S. Bayones ◽  
A. A. Kilany ◽  
S. M. Abo-Dahab ◽  
Emad A.-B. Abdel-Salam ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Plane Wave ◽  
Fractional Order ◽  
Wave Reflection ◽  
Phase Lag ◽  
Integer Order ◽  
Order Analysis ◽  
Three Phase ◽  
Lag Model ◽  
Derivative Order

The present research paper illustrates how noninteger derivative order analysis affects the reflection of partial thermal expansion waves under the generalized theory of plane harmonic wave reflection from a semivacuum elastic solid material with both gravity and magnetic field in the three-phase lag model (3PHL). The main goal for this study is investigating the fractional order impact and the applications related to the orders, especially in biology, medicine, and bioinformatics, besides the integer order considering an external effect, such as electromagnetic, gravity, and phase lags in a microstretch medium. The problem fractional form was formulated, and the boundary conditions were applied. The results were displayed graphically, considering the 3PHL model with magnetic field, gravity, and relaxation time. These findings were an explicit comparison of the effect of the plane wave reflection amplitude with integer derivative order analysis and noninteger derivative order analysis. The fractional order was compared to the correspondence integer order that indicated to the difference between them and agreement with the applications in biology, medicine, and other related topics. This phenomenon has more applications in relation to the biology and biomathematics problems.

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

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