Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications

Kundu, Balaram

doi:10.1016/j.amc.2016.03.037

Cited by 50 publications

(37 citation statements)

References 35 publications

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“…Myers and Belin [19] and Bruce [20] applied ramped velocity to evaluate the limitations of the exercise tolerance and working capacity of heart patients. Kundu declared that control temperature conditions have valuable outcomes when a cancer patient is treated with thermal therapy based on such conditions [21]. Later, Kundu provided five kinds of boundary conditions to improve the treatment of cancerous cells and to reduce the side effects of this treatment to almost nonexistence.…”

Section: Introductionmentioning

confidence: 99%

Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

2020

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This article provides a comprehensive analysis regarding effects of ramped wall temperature and ramped wall velocity on incompressible time-dependent magnetohydrodynamic flow of Maxwell fluid. The flow is due to free convection and bounded to an infinite vertical plate embedded in porous medium. Solutions of mass, shear stress, and energy fields are computed symmetrically by introducing some suitable non-dimensional parameters along with the Laplace transformation technique. The expression for the Nusselt number is also calculated. A comparison between solutions incorporating isothermal temperature and ramped wall temperature conditions is also executed to examine the profile differences. A graphical study is performed to highlight the influence of parameters on mass flow and energy transfer.

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Section: Introductionmentioning

confidence: 99%

Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

2020

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“…Analysis of blood vessel functioning and diagnoses of heart diseases also depend upon ramp wall velocity conditions. To cure cancer cells, a therapy based on ramp wall conditions is utilized as it has negligible side effects on the human body [9]. To further improve the cure of cancer, different types of boundary conditions were presented by Kundu [9].…”

Section: Introductionmentioning

confidence: 99%

“…To cure cancer cells, a therapy based on ramp wall conditions is utilized as it has negligible side effects on the human body [9]. To further improve the cure of cancer, different types of boundary conditions were presented by Kundu [9]. More applications of ramped conditions can be studied in the contribution of Schetz [10], Hayday [11], and Malhotra [12].…”

Section: Introductionmentioning

confidence: 99%

Impacts of Thermal Radiation and Heat Consumption/Generation on Unsteady MHD Convection Flow of an Oldroyd-B Fluid with Ramped Velocity and Temperature in a Generalized Darcy Medium

2020

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This article analyzes the time-dependent magnetohydrodynamic flow of Oldroyed-B fluid in the presence of heat consumption/generation and thermal radiation. The flow is restricted to a vertical infinite plate saturated in porous material along with ramp wall velocity and ramp wall temperature conditions. This flow also incorporates the generalized Darcy’s law. In this paper, accurate equation of velocity field is presented first and then solutions of mass and energy equation are derived in Laplace domain. Real-time domain solutions are obtained by tackling the complexity of Laplace domain expressions through numerical Laplace inversion. Skin friction coefficient and Nusselt number are also calculated. A comparison for ramp wall temperature condition and isothermal temperature condition is also drawn to investigate the difference. A graphical study is conducted to analyze the influence of parameters on fluid flow and heat transfer. It is found that radiation parameter and heat generation elevate the energy profile, while flow is accelerated by increasing the retardation time and porosity parameter and an opposite behavior is noted for increasing relaxation time and magnetic parameter. Furthermore, heat transfer rate is higher for increasing Prandtl number and velocity on plate decreases with increase in relaxation time λ 1 .

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“…Both Fourier and non‐Fourier heat transfer analysis has been performed considering an actual spatially dependent initial condition. On the other hand, an exact analysis of the propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications has been done by Kundu . For this therapeutic application, different boundary conditions can be applied to establish the effective heating.…”

Section: Introductionmentioning

confidence: 99%

Fundamental solution of steady and transient bio heat transfer equations especially for skin burn and hyperthermia treatments

Deka

Bhanja

Nath

2018

Heat Trans. Asian Res.

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In the field of bio heat transfer, as of now, the main concern of researchers lies in the proper and accurate thermal damage of the diseased tissues without destroying or damaging the neighboring healthy tissues during the tumor treatment. The present work aims to develop a new approach toward solving the bio heat transfer equations for the skin burn and hyperthermia treatments. Both analytical and numerical solutions are proposed. For the analytical study, a differential transform method is used to solve steady and unsteady state heat equations. The finite volume method is adopted to solve these equations numerically, which provides a better scope to solve the highly nonlinear complex equations. To obtain a complete solution, a code is developed in MATLAB and MATHEMATICA. The variation of different parameters, such as perfusion constant, space heating, surface step heating, and thermal conductivity, with time were observed. Apart from the above analysis of temperature distribution during skin burn through the spilling of hot beverage, its numerical solution was also performed for this problem at different boundary conditions. It was observed that with the help of the temperature distribution, depending on the time and the severity of the burn, different ranges of depths of the burn can be determined.

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Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications

Cited by 50 publications

References 35 publications

Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

Impacts of Thermal Radiation and Heat Consumption/Generation on Unsteady MHD Convection Flow of an Oldroyd-B Fluid with Ramped Velocity and Temperature in a Generalized Darcy Medium

Fundamental solution of steady and transient bio heat transfer equations especially for skin burn and hyperthermia treatments

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