A numerical study of space‐fractional three‐phase‐lag bioheat transfer model during thermal therapy

Heat Transfer ◽  
2021 ◽  
Author(s):  
Tejaswini Kumari ◽  
S. K. Singh

2016 ◽  
Vol 281 ◽  
pp. 82-91 ◽  
Author(s):  
P. Kumar ◽  
Dinesh Kumar ◽  
K.N. Rai


Author(s):  
Daniel Chinn ◽  
Elvis Nditafon ◽  
Alvin Yew ◽  
Chandrasekhar Thamire

Thermal therapy for treatment of benign prostatic hyperplasia (BPH) is becoming increasingly popular due to the minimally invasive nature of the treatment. Successful management of such therapy requires accurate estimation of thermal dosage. The purpose of this study is to provide correlations for the thermal damage caused by ultrasound, microwave, and infrared devices under a range of operating conditions. A boundary-fitting finite difference method is used to examine the heat transfer in the prostate gland and surrounding tissue. The Pennes bioheat transfer model and a porous media model were utilized to calculate temperature histories. Necrosis zones were determined using published necrosis data for prostatic tissue and cells. Thermal damage correlations for the three different hyperthermia sources along with sample temperature contours and necrosis zones are presented. Results indicate that the applicator power level and heating time are the most important parameters in achieving the desired necrosis zones, while coolant parameters strongly affect the temperatures of the sensitive urethra and serve as constraints for protocol parameters. Out of the three sources evaluated, ultrasound modality appears to be the most capable of causing necrosis in the target zones, with least damage to the surrounding healthy tissues.



2011 ◽  
Vol 27 (5) ◽  
pp. 453-464 ◽  
Author(s):  
D. Fuentes ◽  
C. Walker ◽  
A. Elliott ◽  
A. Shetty ◽  
J.D. Hazle ◽  
...  


2021 ◽  
Author(s):  
Xiaoya Li ◽  
Yan Li ◽  
Pengfei Luo ◽  
Xiao Geng Tian

Abstract Lots of generalized heat conduction models have been developed in recent decades, such as local thermal non-equilibrium model, phase lagging model and nonlocal heat conduction model. But no attempt was made to prove which model is better (or worse) than others, or whether there is a certain relationship between these different models. With this inspiration, we establish the nonlocal bioheat transfer equations with lagging time, and the two and three-temperature bioheat transfer equations with considering all the carries' heat conduction effect are also constructed. Comparing the two (or three)-temperature equation model with the nonlocal bioheat transfer models with lagging time, one may obtain: the lagging time tt of temperature gradient and the nonlocal characteristic length ?q in the space derivative items of heat flux have the same effect on heat transfer; when the heat transport occur among N energy carriers with considering the conduction effects of all carries, the heat transfer process are depend on the high-order effect of tqN-1, ttN-1 and ?t(2N-1) in nonlocal dual phase lag bioheat transfer model. This phenomenon is very important for biological and medical systems where numerous carriers may exist on the cellular level.



Energies ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 2254
Author(s):  
Hari Mohan Srivastava ◽  
Mohd. Irfan ◽  
Firdous A. Shah

In this article, a novel wavelet collocation method based on Fibonacci wavelets is proposed to solve the dual-phase-lag (DPL) bioheat transfer model in multilayer skin tissues during hyperthermia treatment. Firstly, the Fibonacci polynomials and the corresponding wavelets along with their fundamental properties are briefly studied. Secondly, the operational matrices of integration for the Fibonacci wavelets are built by following the celebrated approach of Chen and Haiso. Thirdly, the proposed method is utilized to reduce the underlying DPL model into a system of algebraic equations, which has been solved using the Newton iteration method. Towards the culmination, the effect of different parameters including the tissue-wall temperature, time-lag due to heat flux, time-lag due to temperature gradient, blood perfusion, metabolic heat generation, heat loss due to diffusion of water, and boundary conditions of various kinds on multilayer skin tissues during hyperthermia treatment are briefly presented and all the outcomes are portrayed graphically.



2019 ◽  
Vol 116 (5) ◽  
pp. 514 ◽  
Author(s):  
Harsh Priyadarshi ◽  
Benjamin Boissiere ◽  
Pascal Gardin ◽  
Jean Lehmann ◽  
Luisa Silva

This paper presents the laboratory scale experiments of calcium release in liquid steel and its modeling to better understand the mass transfer mechanism occurring during calcium treatment of steel. The calcium injections are performed at the liquid steel temperature below and above the boiling point of calcium (1484 °C). The corresponding yields (calcium recovery) are compared. The objective is to confront the experimental results with the results of the numerical model developed. Rise of calcium droplet in liquid steel is a three-phase problem (calcium droplet/liquid steel/air at the top) therefore an in-house scientific computational platform based on finite element methods is adapted to allow the modeling of such three-phase flows, which is validated using classical bench mark issued from literature. Mass transfer model is first validated by comparison with the analytical solution obtained for a motionless calcium droplet dissolving in stable liquid steel. This case study highlighted the importance and sensitivity on the prediction of concentration profile near the interface with numerical parameters, such as the mesh size. The case of mass transfer for a rising liquid droplet in a liquid matrix is also simulated. The accordance between the calculated Sherwood number and the Sherwood number found in the literature demonstrates the ability of the model to predict the mass transfer rate occurring at the interface.



2018 ◽  
Vol 7 ◽  
pp. 203-212 ◽  
Author(s):  
S. Falahatkar ◽  
A. Nouri-Borujerdi ◽  
A. Mohammadzadeh ◽  
M. Najafi


2020 ◽  
Vol 93 ◽  
pp. 102661
Author(s):  
Mahesh kumar ◽  
K.N. Rai ◽  
Rajeev


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