Bioheat Transfer Equation with Protective Layer

Luitel, Kabita; Gurung, Dil Bahadur; Khanal, Harihar; Uprety, Kedar Nath

doi:10.1155/2021/6639550

Cited by 6 publications

(3 citation statements)

References 19 publications

(30 reference statements)

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“…The first sixteen terms of the solution for D t = 0.025(m) and Biot = 0.075 applying AGM are denoted as below: Figure 4 displays the semi-analytical solution of Pennes' equation obtained by AGM (26) in comparison to the numerical solution. As it can be seen, there is a perfect agreement between AGM and the numerical solution before the phase transition.…”

Section: Methodsmentioning

confidence: 99%

“…Zhao et al created a two-level finite difference schema for one-dimensional Pennes's bio-heat equation. In the subsequent attempts, Luitel et al extended the one-dimensional Pennes' equation by adding a protective clothing layer and derived the temperature profile at different time steps by employing the fully implicit finite difference method (FDM) [25,26]. The solution of nonlinear bio-heat transfer equation in living tissues under periodic heat flux in tissue surface using the dual-phase lagging (DPL) non-Fourier heat conduction model and the adomian decomposition method (ADM) was obtained by Ghasemi et al [27,28].…”

Section: Introductionmentioning

confidence: 99%

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The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition

Ostadhossein

Hoseinzadeh

2022

J Therm Anal Calorim

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Pennes' bio-heat equation is the most widely used equation to analyze the heat transfer phenomenon associated with hyperthermia and cryoablation treatments of cancer. In this study, the semi-analytical and numerical solutions of Pennes' equation in a highly nonlinear form derived from renal cell carcinoma tissue's nonlinear specific heat capacity along with a freezing convection term were obtained and analyzed for the first time. Here, the governing equation was reduced to a lumped capacity form for simplification and exerted on a solid spherical renal tumor. In the following, two semi-analytical techniques, the adomian decomposition method (ADM) and the Akbari–Ganji's method (AGM) were evaluated in solving the governing ODE. The comparison revealed full conformity between ADM and AGM, in addition to an excellent agreement between the semi-analytical and the numerical results before the phase transition. The analysis highlighted a deviation between the semi-analytical and numerical results for the limited convergence of power-series-based semi-analytical methods throughout the phase change and beyond. For the investigated case with $$D_{t} = 0.025,\quad {\text{Biot}} = 0.075$$ D t = 0.025 , Biot = 0.075 , the convergence occurred while $$\tau \in [0,0.7]$$ τ ∈ [ 0 , 0.7 ] for both methods. Consequently, both semi-analytical techniques ADM and AGM, are applicable to find the solution of Pennes' bio-heat equation before the phase change, and there is no superiority in favor of one in accuracy. In contrast, numerical methods are reliable during the phase transition and after that. The analysis of the numerical solution showed that with the growth of the tumor, achieving the necrosis of the malignant tissue takes longer, and large tumors' temperature may not decrease to necrosis temperature. The interpretation of the numerical results indicated that cryoablation could be considered an effective thermal treatment for renal tumors with a diameter lower than 2.0 cm.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition

Ostadhossein

Hoseinzadeh

2022

J Therm Anal Calorim

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“…The study assumes continuous heat transfer interactions between these components, providing valuable insights into skin temperature dynamics when clothing is involved. When integrating a clothing system, the bioheat transfer equations can be structured as follows Luitel et al [29]. The bioheat equation, combined with appropriate boundary conditions and numerical methods like the Finite Difference Method (FDM), enables the simulation of temperature distribution across skin layers and clothing.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Model to identify comfortable cloth fabric for human body during thermal stress due to physical exercise

Patidar,

Makrariya,

Rasheed

et al. 2024

Mater. Res. Express

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Physical exercise enhances heat generation in human skin and subcutaneous tissues causing thermal stress. This thermal stress causes discomfort in the human body and deteriorates the physical performance of the human subjects. Appropriate choice of cloth for outer covering of human body is necessary to prevent this to provide comfort during the thermal stress. A mathematical model is proposed in this study to analyze the thermal stresses in human skin and subcutaneous tissues covered with various different cloth fabrics. The model considers four compartments namely cloth, epidermis, dermis, subcutaneous tissues. The bioheat equation along with appropriate boundary condition is employed in this model for one dimensional unsteady state case. The numerical simulation is performed using forward and central finite difference formulas. The findings have been utilized to examine how different types of fabric impact thermal stress experienced by the layers of human skin during physical activity. The polyester is found to be superior in comparison to cotton fabric as it shows less thermal stress and thus can be concluded to be more comfortable as a dress material.

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Liquid cooling garment configuration and investigation: A classifying and comparative review

Amjed A.A.,

Ali

2024

International Communications in Heat and Mass Transfer

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Bioheat Transfer Equation with Protective Layer

Cited by 6 publications

References 19 publications

The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition

The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition

Model to identify comfortable cloth fabric for human body during thermal stress due to physical exercise

Liquid cooling garment configuration and investigation: A classifying and comparative review

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