Continuum Modeling Perspectives of Non-Fourier Heat Conduction in Biological Systems [PDF]
Journal of Non-Equilibrium Thermodynamics, 2021 Abstract The thermal modeling of biological systems is increasingly important in the development of more advanced and more precise techniques such as ultrasound surgery. One of the primary barriers is the complexity of biological materials: the geometrical, structural, and material properties vary in a wide range.
Ákos Sudár +2 more
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A new solution for nonlinear Dual Phase
Alexandria Engineering Journal, 2016 The application of new methods to solution of non-Fourier heat transfer problems has always been one of the interesting topics among thermal science researchers. In this paper, the effect of laser, as a heat source, on a thin film was studied.
Mohammad Javad Noroozi +2 more
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A Case Study of Non-Fourier Heat Conduction Using Internal Variables and GENERIC [PDF]
Journal of Non-Equilibrium Thermodynamics, 2021 Abstract Applying simultaneously the methodology of non-equilibrium thermodynamics with internal variables (NET-IV) and the framework of General Equation for the Non-Equilibrium Reversible–Irreversible Coupling (GENERIC), we demonstrate that, in heat conduction theories, entropy current multipliers can be interpreted as relaxed state ...
Mátyás Szücs +5 more
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Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack
Advances in Mathematical Physics, 2020 The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model.
Jiawei Fu +3 more
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Non-Fourier heat conduction equation in a sphere; comparison of variational method and inverse Laplace transformation with exact solution [PDF]
Journal of Heat and Mass Transfer Research, 2016 Small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. Moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another ...
Mohammad Sadegh Motaghedi Barforoush +1 more
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Results in Physics, 2018 This attempt explores stagnation point flow of second grade material towards an impermeable stretched cylinder. Non-Fourier heat flux and thermal stratification are considered. Thermal conductivity dependents upon temperature.
M. Ijaz Khan +3 more
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Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium
Abstract and Applied Analysis, 2013 Different non-Fourier models of heat conduction have been considered in recent years, in a growing area of applications, to model microscale and ultrafast, transient, nonequilibrium responses in heat and mass transfer.
M. A. Castro +3 more
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Investigate on Non-Fourier Heat Conduction in Sand Using Models based on Fractional Calculus [PDF]
مجله مدل سازی در مهندسی, 2017 In this article, the study of the non-Fourier heat conduction in casting sand that is located inside a container under an instantaneous heat flux. According to inefficiencies of Fourier model to model the behavior of this problem due to differences in ...
Aziz Azimi +2 more
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ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS [PDF]
مجله مدل سازی در مهندسی, 2013 This paper studies an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction equation can be obtained using fundamental mathematics.
محمد Akbari +4 more
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Bioheat Equation with Fourier and Non-Fourier Heat Transport Laws Applicability to Heat Transfer in
Journal of Thermal Engineering, 2019 The paper is dedicated to mathematical problem formulations for the heat propagation in biological tissues based on the Fourier and non-Fourier laws at different boundary conditions.
Natalya KİZİLOVA
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